US3195807A - Turbo-machine with slotted blades - Google Patents

Turbo-machine with slotted blades Download PDF

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US3195807A
US3195807A US246620A US24662062A US3195807A US 3195807 A US3195807 A US 3195807A US 246620 A US246620 A US 246620A US 24662062 A US24662062 A US 24662062A US 3195807 A US3195807 A US 3195807A
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blade
slot
airfoil
boundary layer
flow
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US246620A
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Herman E Sheets
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General Dynamics Corp
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General Dynamics Corp
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F01MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
    • F01DNON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
    • F01D5/00Blades; Blade-carrying members; Heating, heat-insulating, cooling or antivibration means on the blades or the members
    • F01D5/12Blades
    • F01D5/14Form or construction
    • F01D5/141Shape, i.e. outer, aerodynamic form
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F01MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
    • F01DNON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
    • F01D5/00Blades; Blade-carrying members; Heating, heat-insulating, cooling or antivibration means on the blades or the members
    • F01D5/12Blades
    • F01D5/14Form or construction
    • F01D5/141Shape, i.e. outer, aerodynamic form
    • F01D5/142Shape, i.e. outer, aerodynamic form of the blades of successive rotor or stator blade-rows
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F01MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
    • F01DNON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
    • F01D5/00Blades; Blade-carrying members; Heating, heat-insulating, cooling or antivibration means on the blades or the members
    • F01D5/12Blades
    • F01D5/14Form or construction
    • F01D5/141Shape, i.e. outer, aerodynamic form
    • F01D5/146Shape, i.e. outer, aerodynamic form of blades with tandem configuration, split blades or slotted blades
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00Details, component parts, or accessories
    • F04D29/26Rotors specially for elastic fluids
    • F04D29/32Rotors specially for elastic fluids for axial flow pumps
    • F04D29/38Blades
    • F04D29/384Blades characterised by form
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00Details, component parts, or accessories
    • F04D29/66Combating cavitation, whirls, noise, vibration or the like; Balancing
    • F04D29/68Combating cavitation, whirls, noise, vibration or the like; Balancing by influencing boundary layers
    • F04D29/681Combating cavitation, whirls, noise, vibration or the like; Balancing by influencing boundary layers especially adapted for elastic fluid pumps
    • F04D29/682Combating cavitation, whirls, noise, vibration or the like; Balancing by influencing boundary layers especially adapted for elastic fluid pumps by fluid extraction
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00Details, component parts, or accessories
    • F04D29/66Combating cavitation, whirls, noise, vibration or the like; Balancing
    • F04D29/68Combating cavitation, whirls, noise, vibration or the like; Balancing by influencing boundary layers
    • F04D29/681Combating cavitation, whirls, noise, vibration or the like; Balancing by influencing boundary layers especially adapted for elastic fluid pumps
    • F04D29/684Combating cavitation, whirls, noise, vibration or the like; Balancing by influencing boundary layers especially adapted for elastic fluid pumps by fluid injection
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10STECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10S415/00Rotary kinetic fluid motors or pumps
    • Y10S415/914Device to control boundary layer

Definitions

  • This invention relates to turbo-machines for generating power from the kinetic energy of a fluid or, reversely, producing fluid pressure from mechanical energy. More particularly, the invention relates to turbo-machines of this type having improved blade constructions. Machines of this type include blowers, compressors, pumps, turbines, fluid motors, and the like. The invention specifically relates to turbo-machines having slotted blade construction which substantially improve the operational characteristics of the machines.
  • the invention is hereinafter described as being applied to the rotatable or rotor blades of an axial flow blower, but the principles of the invention apply genrally to the blades of various types of turbo-machines, whether movable or stationary.
  • an axial flow blower utilized in accordance with the present invention has achieved efficiencies of ninety-four percent, with maximum stage efiiciency of about ninety-six percent. Maximum efiiciencies of prior blowers have been in the neighborhood of eighty-five percent.
  • the blower of the present invention operates at a lower noise level, and requires less driving horsepower, between the design operating range and the airflow shut-off condition.
  • the machines also include an inlet ahead of the blade-carrying members and an exit diffuser after the blade-carrying members.
  • Another object of the invention is to provide a turbo- .machine blade of the airfoil type having a generally longitudinally extending slot formed from the lower side of the blade to the upper side,
  • a further object of the invention is to so locate and define the size and contour of such a slot as to provide substantially increased efficiency.
  • Still another object of the invention is to provide an improved blade for turbo-machines incorporating effective boundary layer control.
  • a further object of the invention is to provide a turbomachine blade having a slot located strategically with regard to boundary layer characteristics, for example, in a laminar flow airfoil at the point of transition from laminar to turbulent boundary layer, and so dimensioned that the driving jet from this slot is just sufficient to flush downstream all of the boundary layer of the forward blade portion.
  • a still further object of the invention is to provide a turbo-machine slotted blade construction which extends laminar fiow over a larger portion of the blade chord than with standard types of solid airfoil blades and which simultaneously permits larger flow deflections.
  • An additional object of the invention is to provide a turbo-machine blade construction of this character which permits a considerable increase in the pressure coefficient, or corresponding operation at lower tip speeds for a given pressure increase.
  • Another object of the invention is to provide a turbomachine slotted blade construction of the laminar flow airfoil type having more efficient flow characteristics than a similar solid laminar flow airfoil blade.
  • a further object of the invention is to provide a turbomachine of low noise level.
  • Still another object of the invention is to provide an axial flow blower having a low noise level and low driving horsepower required, particularly between the design operating range and the airflow shut-off condition.
  • a still further object of the invention is to provide an axial flow blower having driving power characteristics which result in substantially lower horsepower required at low capacity and at shut-off, as compared to power requirements in the design operating range.
  • An additional object of the invention is to provide a blower having a reduced vibrational force output in the range of capacities below the design operating range.
  • FIGURE 1 is a perspective view showing a turbomachine rotor having a preferred type of blade, according to the present invention, assembled in cascade thereon;
  • FIGURE 2 is a schematic, longitudinal sectional view of a turbo-machine, including a rotor and a stator, having slotted blades of the present invention
  • FIGURE 3 is a diagrammatic end view of a slotted blade of a modified construction
  • FIGURE 4 is a diagrammatic illustration of a nonlaminar cambered airfoil section illustrating the boundary layer thereon;
  • FIGURE 5 is a view similar to FIGURE 4-, but showing the airfoil provided with a slot and illustrating the resulting change in the boundary layer;
  • FIGURE 6 is a view similar to FIGURE 4, but illustrating a laminar-flow airfoil section with the boundary layer associated therewith;
  • FIGURE 7 is a View similar to FIGURE 6, but show- 5 ing a slotted laminar flow airfoil, like the non-slotted airfoil of FIGURE 6, and illustrating the change in the boundary layer;
  • FIGURE 3 is' a graphic diagram showing. frictional intensity and pressure on the upper surface of non-slotted
  • FIGURE 9 is a diagrammatic showing of a slotted blade profile, according to the present invention.
  • FIGURE 10 is an enlarged fragmentary diagrammatic view showing a portion of the blade of FIGURE 9 on an enlarged scale;
  • FIGURE 11 is an enlarged,,fragmentary diagrammatic view similar to FIGURE 10, but illustrating the boundary layer relationship in the region of the airfoil slot;
  • FIGURE 12 is a graphic diagram, showing the performance of a standard blower
  • FIGURE 13 is a graphic diagram comparing a slotted blade blower, according to the present invention, and a standard blower, in terms of pressure and efliciency relative to flow capacity;
  • FIGURE 14 is a graphic diagramcomparing the blowers of FIGURE 13 in terms of horsepower and air borne noise level as a function of flow capacity;
  • turbo-machines The substantially. improved operation of turbo-machines, according to thepresent'invention, is the direct result -of the novel blade configurations which were ,de-
  • FIGURE 15 is a schematic illustration of a non-slotted turbo-machine blade operating in the airflow shut-off condition and illustrating the flow components about the blade;
  • FIGURE 16 is a schematic view similar to FIGURE 15, but illustrating theflow components about the slotted blade, according to the present invention, with the blade operating at the airflow shut-off condition;
  • FIGURE 17 is a schematic sectional view taken along line 17-17 of FIGURE16.
  • the present invention relates to turbo-machines of essentially the axial flow typep
  • the blades with'which the present. invention is concerned are generally characterized by the existence of a throughflow. and circulation flow.
  • the fluid particles follow the flow pattern defined by superimposingthe flow of fluid through the of the pressure ditferencebetween the upper and lower 7 sides of the blade.
  • the pressure difference causes a lifting force on the blade, resulting in a blade characteristic defined by I lift coeflicient and angle of be considered viscous.
  • boundary layer a relatively slow-moving layer of fluid close to the 'surfaceof a body in a fluid flow system. This relatively slow moving layer of air is "referred to as the boundary layer.
  • boundary layer phenomena were not well enough known to calculate the characteristics of the boundary layer even for the simplest of cases.
  • the phenomena had been explored'sufliciently to' permit rough calculation of .boundar'ylayers along flat plates in fluid flow of essentially cons-taut velocity and pressure.
  • a boundary layer is ordinarilylaminar at the start andat a certain distance downstream undergoes a transition for' a certain limited range until the boundary layer becomes fully turbulent.
  • the flow in the boundary layer can thus'be grouped into three different phases,
  • the entire flow process caused by the shape of the blade results in a deflection of flow between blade inlet and exit, the amount of flow deflection being a function of the amount of circulation, through flow and blade arrangemen-t.
  • This flow deflection results also in a pressure difference between blade inlet and blade exit, this pressure difference being a pressure increase in the case of a blower or pump, and a pressured decrease in the case of a turbine.
  • a transitional boundary layer is that boundary layer region, lying between the-end of a laminar boundary layer and the beginning of a fully developed turbulent boundary layer.
  • Turbulent boundary'layers are less inclined to separati -on, than-laminar layers because of the increased interchange in'momentum in the turbulent layers. If laminar flow separation occurs, theflow may leave the surface of the airfoil permanently or may reattach itself in the turbulent boundary layer. It turbulent flow separation occurs, it can adversely affect the flow through the next 7 ,row of rotor or stator blades.
  • laminar flow airfoils designed by laminar boundary layer over a certain extension of the chord to a position where sudden changes in pressure gradient results in transition to a turbulent boundary layer.
  • Such airfoils have been designed with laminar boundary layers to about sixty percent of the blade chord length.
  • laminar flow airfoils developed by the NACA have a common physical characteristic in that the point of maximum thickness always occurs at or farther than 30% of the chord length downstream from the leading edge. Accordingly, hereafter in this specification and in the claims the term laminar airfoil is defined as an airfoil in which the maximum thickness occurs at a point at least 30% of the chord length from the leading edge and in which the laminar boundary layer on the upper surface extends over a large portion of the chord length at design operating condition. Non-laminar airfoils are defined as all others.
  • the invention relates especially to turbo-machines with airfoil type blades of the laminar flow type.
  • the boundary layer, boundary layer thickness and growth can be determined and controlled.
  • turbo-machines with laminar flow blades have the lowest drag and the highest efficiency.
  • the invention is particularly concerned with creating an improved fluid flow process within the boundary layer by means of blades having a slot of special shape and design, which in turn permits the performance of the entire turbo-machine to achieve higher efficiency, or larger pressure differences between inlet and exit, or a combination of both.
  • boundary layer control Ever since the discovery of the existence of a boundary layer attempts have been made to avoid separation of the boundary layer by means of suction systems, blowing systems, slots or otherwise, and such attempts have been referred to as boundary layer control. Today much more exact information is available concerning fluid flow process thus permitting calculation of boundary layer thickness and extent of boundary layer. Consequently, it has only recently become possible to scientifically ascertain and calculate slot location and dimension and to include these in the concept of boundary layer control.
  • the present invention is concerned with the scientific formation of slots in turbo-machine blades for improved boundary layer control in the modern concept.
  • the slotted blade establishes a flow from the lower to the upper side of the airfoil. This results in a sink and boundary layer removal on the lower side of the airfoil, and a source with ejection of fluid on the upper side of the airfoil.
  • pressure distribution in accordance with the latest NACA findings for airfoils in cascade is desirable over the initial part of the airfoil surface upstream of the slot location.
  • a laminar boundary layer is maintained to a predetermined point along the blade chord where ejection of fluid occurs, resulting in addition of energy to the boundary layer and simultaneously in a pressure change.
  • a part of the fluid flows through the slot, according to the invention, and a new impulse is imparted to the fluid particles in the boundary layer on the upper surface, in the area of transition from laminar to turbulent flow, which impulse results in energy addi tion and establishes quick transition to a turbulent boundary layer.
  • the slotted blade of the present invention permits the design of airfoils with favorable pressure distribution and laminar flow over greater portions of the chord than would otherwise be possible, even for highly cambered airfoils.
  • the lower surface flow sink resulting in removal of the boundary layer thereby extends the range of laminar flow to approximately the trailing edge under de sign conditions.
  • a pronounced reduction in drag is obtained by the reduction of the skin friction through increasing the relative extent of the laminar boundary layer on the lower airfoil surface.
  • FIGURE 1 shows in perspective, a rotor having slotted blades according to this invention.
  • the blades are mounted in cascade on the rotor of an axial blower.
  • the rotor is designated 31, the forward blade portions 33, the rearward blade portions 35 and the radially extending slots 37.
  • FZGURE 2 is a showing of one form of apparatus in 'chord of the combined airfoil.
  • the drawing shows a blower with a tubular housing 41, having an outwardly flared intake end 43.
  • a motor housing 45 is supported on guide vanes 47 which are of the slotted design.
  • drive shaft 52 and carries, slotted blades 53, the tips of which extend to points closely adjacent the inner surface of the housing 41.
  • the rotor is shown with a hemispherical cap 55.
  • a conical diffuser 57 is shown extending rearwardly of the motor housing 45.
  • the showing is somewhat diagrammatic and is illustrative of a form of possible application of the improved blade construction.
  • FIGURE 3 shows overlappingblade portions 61 and 63 which are joined together at the slot by connecting members 65.
  • Such members preferably have a relatively small dimension radially of the blade and thus obstruct A rotor 49 is driven by'a motor 51 through a only small portions of the slots.
  • One or more such connecting members may be used toward-the free tip ends of the blade to stiffen the construction. 7
  • FIGURE 4 of the drawings therehas been shown a conventional non-laminar type of cambered airfoil 11 with the boundary layer indicated in cross-hatched areas about the airfoil.
  • FIGURE 5 the same-type of airfoil 11 has been shown, but here provided with a slot 13.
  • FIGURE 6 a cambered airfoil 17 'of the laminar flow type has been shown togther with boundary layers above'and below.
  • FIGURE 7 shows a comparable slotted airfoil of the laminar flowtype, the airfoil actually consisting'of a pair of overlapping smallerrairfoils 19 .and 21 with the overlap forming a slot 23.
  • the boundboundary layer to flow against the steep adverse pressure gradient and to avoid separation.
  • Frictional intensity is defined by multiplying the velocity gradient in the boundary layer at the airfoil surface with the viscosity, of;the air.
  • FIGURE' S shows data of pressure distribution andfrictional intensity for the upper surface of a non-laminar airfoil, both in dimensionless form by dividing their corresponding values by the value, of free stream energy or dynamic pressure /a V where p is the free stream density of the air and V is the velocity of the free stream air relative to the airfoil.
  • frictional intensity has one maximum value near the forward section, and a second and larger maximum value a certain distance downstream relative to the airfoil chord. The transition from laminar to turbulent flow in theboundary layer takes place in the region between these two maxima.
  • FIGURE 10 specifically illustrates the nozzle-like con figuration of the slot and the flow-directing characteristic.
  • FIGURE 11- specifically illustrates the relationship of the boundary layers inthe region of the slot for detailed consideration in determining the slot gap or width.
  • the combined blade is characterized by. the magnitude of the camber angle'O, and
  • the maximum camber is located near the rear part of the mean camber line of the, forward airfoil.
  • the slotted blade is furtherdefined by the deflection angle '6 between the chords of forward and rear airfoil, measuring the deflection of the rear airfoil against the forward airfoil.
  • the angle 6F in FIGURE 9 defines the angle between the chord of the forward portion airfoil and the Theangle ER in FIG- URE '9 defines the'angle between the chord of the rearward portion airfoil and the chordofthe combined airfoil.
  • the location of the slot entrance on the lower airfoil surface, representing the flow'sink, is defined by the distance m "m represents the Width of the-slot inlet, and s. represents 7 represents the distance of the slot overlap between the forward and rear airfoils.
  • the blade On the upper side of the blade, fluid is ejected at the location s the slot exit, for the purpose of'energizingthe with blade loading or angle of attack.
  • the transition from laminar to turbulent boundary layer occurs on the upper and lower side of the airfoil in the vicinity of the first minimum of frictional intensity.
  • the first minimum of frictional intensity is associated with the normalpressure distribution so as to occur in the area of lowest absolute pressure.
  • the slot exit location is determined according to boundary particularly with respect to fric- With respect to slot exit location for non laminar flow airfoils at the design condition, it is desirable to maintain the boundary layer relatively thin to the slot location.
  • the design of the airfoil should give values of pressure distribution and frictional intensity so that the boundary layer remains thin over a large portion of the airfoil, for example, fifty or sixty percent.
  • the flow through the slot should fiush the boundary layer on the upper side of the airfoil downstream, and completely disperse it so that a new boundary layer forms over the upper surface downstream of the slot. This results in a higher lift coefficient and simultaneously in a drag coefficient as low or lower than comparable non-slotted airfoils.
  • the exact slot location is again determined according to the principles of boundary layer conditions and frictional intensity.
  • slotted airfoils according to the present invention operate satisfactorily over the entire range of operation of the turbo-machine. Consequently, due to the range of angle of attack, the airfoils must be designed so that satisfactory flow is maintained under all conditions. This means, for instance, that the slots of laminar flow airfoils must be so dimensioned that in nonlaminar fiow conditions, within the operating range of the turbo-machine, the turbulent boundary layer on the upper side of the airfoil is still completely dispersed by the How through the slot, so that a new boundary layer forms. Furthermore, it is important that the slot be so dimensioned to prevent stalling and other flow irregularities, which would result in unstable flow conditions, since blowers with unstable flow characteristics are generally undesirable.
  • the slot exit on the airfoils upper surface is located within the transitional region of the boundary layer, said region being located between the two maximum frictional intensity values for the upper surface.
  • the transitional region is very short.
  • the transitional region is further defined as that region of the boundary layer which extends downstream from the end of the laminar boundary layer to a point where the turbulent boundary layer has completely replaced the laminar boundary layer.
  • the former point normally coincides with the first minimum frictional intensity value and the latter point normally coincides with the second maximum frictional intensity value.
  • the point of transition can also be more roughly ascertained in another manner since it is located downstream from the point of minimum static pressure at a point where the maximum increase in static pressure occurs.
  • the point of transition for non-slotted airfoils can be located only approximately, i.e. within a ten percent range.
  • the point of transition on a slotted airfoil occurs approximately five to seven percent of the chord length farther downstream than it would on a similar non-slotted airfoil under otherwise identical conditions. It has been observed that a slotted airfoil designed in this manner has about the same flow deflection and velocity distribution characteristics as that of the equivalent non-slotted airfoil. This feature is important since it allows use of the NACA test data for numerous nonslotted airfoils to develop a slotted airfoil having known characteristics.
  • the resulting slotted airfoil provides a quick transition from laminar to turbulent boundary layer flow resulting, consequently, in a narrower range of transitional boundary layer flow.
  • the slotted airfoil according to this invention results in a reduction in drag and an increase in eficiency.
  • the advantageous five to seven percent downstream shift of the point of transition in slotted airfoils according to the present invention is the result of the jet efiect of flow through the slot.
  • the stream intermix and the faster moving stream tends to induce increased velocity of the slower moving stream, both upstream and downstream of the point of mixing.
  • one of these streams is the boundary layer on the upper surface of the airfoil while the other is the flow through the slot. It is known that for a flow analysis within the boundary layer, viscous forces cannot be neglected.
  • the flow through the nozzle-shaped slot has a low Reynolds number compared with the flow over the airfoil.
  • the slot exit on the upper surface should be located immediately upstream of the second maximum frictional intensity value (in other words, immediately upstream of the point of transition) at the design condition.
  • the slot exit should be located a short distance downstream of the second maximum frictional intensity value (point of transition) at the design condition.
  • the extent of the laminar boundary layer for the design condition can be calculated in accordance with modern boundary layer theory from the available pressure distribution data.
  • the slot exit on the upper surface is then located at the end of this laminar coundary layer for the design condition.
  • the slot exit on the upper surface is located approximately five to seven percent of the chord length downstream from the start of the maximum static pressure increase following the point of minimum static pressure at the design condition.
  • airfoils should be selected in which the transition point on the lower surface at design condition lies either downstream from the transition point on the upper surface or no farther upstream than Will permit proper placement of the slot entrance ahead of the slot exit. This results in maximum increase in pressure and blade efficiency. It hasbeen found that this condition exists in many of theNACA 65-Series laminar flow airfoils over a Wide range of flow, cascade, solidity and stagger conditions, and accordingly, these laminar flow airfoils are readily provided withslots according to the present invention. thermore, the use of this airfoil series makes the application of theinvention particularly easy because of the publication of pressure distribution over a wide range of operating conditions, stagger and solidity.
  • the slot must be so directed that the fiow of ejected fluid will be in the same directionas that ofthe fluid which is flowing along theupper surface at the slot exit.
  • the slot When the slot is located, between the mid-point of the total chord length and the trailing edge, relatively little overlapping of the two airfoil portions is required, since the fluid flows in a fairly straight path from the lower to the upper surface.”
  • the slot should be located upstream of the, blades mid-point, the two airfoil portions must be overlapped to 'a greaterv extent in order. that the flow through the slot be ejected in the same direction as the flow on the upper surface of the airfoil at the slot exit.
  • the overlap 0 should be Within the range of from .5 percent to 5 percent of theover-all chord'c.
  • the discharge opening or. slot exit s must be smaller than thee'ntrance m of the slot to give the necessary nozzle effect;
  • the angle 1" made by the lower surface trailing edge portion of the forward'airfoil portionjand the chord of said airfoil portion is greater than'the angle r3 formed v by the tangent to the supper surface of the rearward airfoil portions at the slot exit and the same chord. This relationship insures that a flow coming out of the slot is ejected in the proper. direction.
  • t designatesthe thickness .ofthe boundary'layer on the lower surface of the forward airfoil trailing edge portion
  • t designates the thickness of the boundary layer on the upper surface of the forward airfoil trailing edge portion
  • t designates the thickness of the boundary layer on the upper surface of the rearward airfoil leading edge portion at the slot exit.
  • S designates the slot gap at its exit.
  • S designates the effective gap at the slot exit, between the boundary layers formed on the lower surface of the, forward airfoil and the upper surface of the rearward airfoil.
  • the angle 1''. of thelowersur: face trailing edge of the forward. airfoil and the angle 73 of the forward part ofthe; upper surface of the rear airfoil at the slot exit have to be carefully selected to a permit the flow moving through the slot to properly energize theboundary layer of the combined profile without causing undue drag. All angles are shown in FIGURE 10 and are-measured with regard to the direction of the 1 chord line of the forward airfoil.
  • the angle Tm defines .the mean direction of the fiuidrat the slot exit. .
  • the pressure for the driving jet- i.e., the flow through the slot
  • the velocity of the driving jet leaving the slot is relatively'low.
  • the fluid mass to be pumped i.e., the .boundary layer on the upper side of the combined airfoil
  • This velocity can-befdetermined from the total pressure and velocity pressure of the combined airfoil.
  • A is the area of the driving jet and A is the area of the induced flow mass at the jet exit.
  • the pressure distribution data for the airfoils listed were taken from NACA Technical Note 3916, referred to above, for the first eight airfoils, from NACA Technical Note 3937, March 1957, for the next two airfoils, and from NACA Technical Report No. 613, 1938, for the last airfoil listed.
  • the area ratios of the table can be considered as proportional to the effective slot width S at the exit divided by the boundary layer thickness 2 on the upper surface of the forward airfoil at the same position, so that:
  • Equation (la) the maximum and minimum slot gaps are expressed as follows:
  • the slot gap is defined reasonably accurately as follows:
  • slot direction relative to turbo-machine An additional feature of the slot configuration is its formation in a straight radial direction with respect to Inasmuch .for low airborne noise level.
  • the radial directionof the. slot is to accommodate a certain amount of three-dimensional flow of the fluid in the turbo-machine. If the slot' were not radial, the outward boundary layerflow,'d ue to centrifugal force, would cause considerable flow disturbance.
  • the airborne noise level of a-blower is a function of the speed of the air flowing over the blades, the blade area and surface smoothness the boundary layerfthe wake and turbulence of the flow. If a blowerconsists of an impeller havingrotating blades and stationary guide vanes, each of the'rotating and stationary blades alfect the over-allairborne noise output of the blower in accordance with their relative contribution, and the above flow phenomenon relating to noise must be properly considered for both rotating and, stationary vanes.
  • Theain borne noise level'at the design point can be reduced by designing the blower for lowest velocity between the rotating impeller blades and'the relative airflow, and simultaneously fora low value of absolute velocity over the guide or stationary vanes of'the blower.
  • the lowest noise level isachieved to startfrom.
  • the maximum operating capacity at D and adjust and reduce the flow down to a value of shut-oft", as indicated by C.
  • the capacity of the system shallcoincide with the point A. of the blower indicating/maximum efficiency.
  • FIGURE 12- showssuch a power characteristic, indicating higher horsepower consumption :at shut-off than at the point of maximum efiiciency designated A Typical characteristic curves of axial flow blowers similar to FIGURE 12 are shown'in the literature, for instance, FIGURE 120, page'2 56 of Fluid :Mechanics of Turbo-Machinery-by George Wislicenus, FIGURE 13.8, page 252, and FIGURES 13.19 and 13.20, page 271, of Turbo-Blowers by A. I. Stepanoff, Phd.
  • the airborne noise of the blower shown in FIGURE 12 has the highest. value at. shut-off point C the lowest value near the design point A and then again slightly increasing values of noise to the point of maximum operating flow at D
  • This portion ,of the invention consists of using, with an axial flow blower, "a special type of slotted blading which permits considerable improvement of the noise characteristics and the driving horsepower requirements 7 in the practical opera'ting range. as indicated in FIGURE for a predetermined pressure by the lowest air velocities.
  • blower with blades generating a 'high pressure coefiicient and comparatively small total blade area is of advantage It results in an inherently lower relative velocity overthe blades ofthe impeller for a given pressure increase.
  • the structural noise of the vibrational force output of a well-balanced prime mover, and particularly of an electric motor, is a direct function of the horsepower output.
  • -the pressure. at shut-off can be made to be only two-thirds, one-half, or even less of the pressure at maximum del sign point A.
  • the vibrational force output can be controlledrand" predicted, if the horsepowerrequirements over the desired operating range are known.
  • a lower vibrational force output can be achieved at lower capacities, including shut-oil, with a horsepower characteristic requiringless input or driving horsepower at lower capacities, including shut-off; I V
  • the noise characteristics of the blower are of considerable significance at operating conditions away from the 5' design point or maximum etficiency operating point.
  • FIGURE 12 shows the operatingcharacteristics of a typi* cal axial flow blower, with the design point designated at A. The point of free' flow without a duct system is.
  • FIGURES l3 and 14 pressure and noise characteristics resulting from incorporation of a properly, desinged slot is defined graphically ,in FIGURES l3 and 14.
  • FIGURE 13 shows the performance. of a slotted blade axial flow blower interms of pressure .and efficiency plotted versus flow capacity. On the ,same graph, as
  • FIG- URE' 13' also indicates about .the sarne characteristics in efliciency" for both blowers.
  • FIGURE 14 shows the corresponding performance for URE 15.
  • the same two blowers in terms of horsepower and air borne noise level as function of flow capacity. It is noted that the noise level of the slotted blade blower at Zero capacity C is higher than at the point of maximum eificiency A' However, the noise level at zero capacity C is considerably lower than for the standard blower, point C It should be noted that the horsepower requirement of the slotted blade blower at shut-off, point C',,, i about one-half the horsepower requirement of the slotted blade blower at the design point A',,. Correspondingly, for the standard blower, the horsepower requirement at shut-off point C is about 50% higher than at the design point A,,.
  • the driving horsepower required at design point is higher for the standard blower than for the slotted blade blower due to the higher efficiency of the slotted blade blower.
  • the performance curves indicate that the horsepower requirement for the standard blower at shut-off, point C is about four times as high as for the slotted blade blower point C',,. Therefore, the structure-borne noise, which varies under otherwise equivalent conditions as a function of the horsepower, as previously pointed out, is considerably less for the blower with slotted blades in the vicinity of shut-off and at low capacity.
  • the substantial improvement in the noise characteristics and power requirements is related to the change in the flow pattern caused by a slot designed in accordance with this portion of the invention.
  • a blower with standard non-slotted blades is operated at low flow capacity, i.e., between the design operating condition and shutoff, radial components of flow are established which change the fiow from two dimensional to three dimensional.
  • a specific condition of flow with respect to a non-slotted blade at shut-off is qualitatively shown in H6- As illustrated, a radial flow component is formed in the region of the central chord portion of the non-slotted blade, with flow vertexes formed on each side of this radial flow component.
  • FIGURES l6 and 17 show a slotted blade, according to the present invention, being operated at shut-off.
  • slotted blades With the slotted blade, the higher pressure fluid at the lower surface flows through the slot to the reduced pressure on the upper surface, traveling in both The flow is still three dimensional, as shown in FIGURE 16, but inasjmuch as the slot is radial, the radial flow component responsible for the pressure increase is substantially reduced.
  • slotted blades according to the present invention create new, desirable blower characteristics, namely, low pressure and horsepower at shut-01f, heretofore not possible with axial flow blowers.
  • slots can have the same gap or slot width derived previously, and the range of slot location can extend between forty percent and seventy-five percent of the total blade chord, with the requirement that the slot must extend in a substantially radial direction for any particular blade design. If, however, the lowest airborne noise levels and power requirements are desired, then laminar flow blades with approximately 50% or more laminar boundary layer should be used and the slot and blade should be dimensioned and located as previously defined.
  • While the slots may generally have a slot width as previously determined and be located in from forty to seventy-live percent of the total blade chord from the leading edge of the blade, for the greatest efiiciency in noise reduction the size and location of the slot should be in a more limited range.
  • the width of the slot should be from two percent to four percent of the total blade chord and should be located in the area from fifty-five percent to seventy percent from the leading edge. If the slot is less than two percent of the chord there is no substantial increase in eificiency over a non-slotted blade, and if it is over six percent of the chord, the effect is substantially that of two adjacent non-slotted blades.
  • the present invention may be applied to blowers having an impeller only and no guide vanes.
  • it may be applied to blowers with guide vanes, either upstream or downstream of the impeller.
  • These guide vanes may be either of the slotted or the solid type.
  • the specially designed slot in the impeller blades alone will result in desirable change in pressure, power and noise characteristics.
  • slots in both the guide and impeller vanes will further increase these desirable changes.
  • a blade having a cross-sectional profile of the non-laminar airfoil type, said blade having a lower pressure surf-ace and an upper suction surface, a slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit in said upper surface and disposed generally longitudinally of the blade in substantially a radial direction, said upper surface having a predetermined point of minimum static pressure thereon at the design operating condition of the blade, said upper surface having an area of maximum static increase thereon downstream of said point of minimum static pressure at the design operating condition of the blade, said slot having its exit in said upper surface located at a distance within the range of 5% to 7% of the total blade chord downstream from the start of said area of maximum static pressure increase following said point of minimum static pressure at the design operating condition of the blade, and said slot having a width at its narrowest point within the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on said
  • a blade having a cross sectional profile of the non-laminar airfoil type, said blade having a lower pressure surface and an upper suction'surface, a
  • slot extending through said blade from said lower surface generally in the downstream direction of the blade chord the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on said upper surface at the design operating condition of the blade, whereby fluid is ejected from the slot exit in a downstream direction to cooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction.
  • a blade having a cross-sectional profile of the non-laminar airfoil type, said blade having a lower pressure surface and an upper suction surface and including a forward airfoil portion and arearward airfoilportion, the forward airfoil portion trailing edge section overlapping therearward airfoil portion leading edge section to form a slot, said slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit on said upper surface and disposed longitudinally of the blade in substantially a radial direction, said upper surface having a predetermined point of minimum static pressure thereon at the design operating condition of the blade, said upper surface having'an area of maximum static pressure increase thereon downstream of said point of minimum static pressure at the design operating condition of the blade, said slot having its exit 1n said upper surface at .a position located within the range 7 Q of 5% to 7% of the total airfoil chord downstream from the start of said area of maximum static pressure
  • a blade having a cross-sectional profile of the non-laminar airfoil type, said blade. having a lower pressure surface and an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing 'edge section overlapping the rearward airfoil portion leading edge section to form a slot, said slot extending through said blade from said lower surface generally in thedownstream' direction of the blade chordto an exit on said upper-surface and disposed longitudinally of the blade in substantially a radial direction, said upper surface having a predetermined point of minimum static pressure thereon at the design operating condition of the blade, said upper surface having anarea of maximumstatic pressure in- "between said airfoil portions'vbeing within the range of one time to 1.66 times the thickness of the boundary layer on the upper surface of, the trailing edge section of the forward airfoil portion plus the thickness of the boundary layer on the lower
  • a blade having a cross-sectional profile of the non-laminar airfoil type said blade having a lower pressure surface and an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing edge section overlapping the rearward airfoil portion leading section to form a slot, said slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an ex-iton said upper surface and disposed longitudinally of the blade in substantially a radial direction, a point of first and a point of second maximum frictional intensity on said upper'surface at the design operating condition of the blade, said slot having its exit in said upper surface at a position located a short distance downstream of said second maximum of frictional intensity at the design operating condition of the blade, said slot having a width at its narrowest point within the range of one time to 1.66 times the thickness of the boundary layer on said upper surface of the trailing edge section of the forward airfoil portion plus the thickness of the
  • a blade having a cross-sectional profile of the non-laminar airfoil type said blade having a lower pressure surface and an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing edge section ovelapping the rearward, airfoil portion leading section to form a slot, said slot extending through said blade from said lower surface generally in the downstream 7 direction of the blade chord to an exit on said upper surface and disposed longitudinally of the blade in substant1al1y a radial direction, a point offirst and a point of second maximum frictional intensity on saidv upper surmum ofjfrictional intensity at the design operating condicrease thereon downstream of said point of minimum static located at a distance within the range of 5% to7% of the total airfoil chord downstream from the start of the area of maximum static pressure increase following said point of minimum static pressure at the design operating condition
  • apump or blower or the like of the axial flow turbo-machine type including a generally tubularhousing having. a'rotor rotatably mounted therein with a plurality 21 of circumferentially fixed blades on said rotor and with each of said blades having a cross-sectional profile of the non-laminar airfoil type, the improvement comprising: a lower pressure surface and an upper suction surface on each blade, a slot extending through each blade from said lower surface generally in the downstream direction of the blade chord to an exit in said upper surface and disposed generally longitudinally of the blade in substantially a radial direction, said upper surface having a predetermined point of minimum static pressure thereon at the design operating condition of the turbo-machine and an area of maximum static pressure increase thereon downstream of said point of minimum static pressure at the design operating condition of the turbo-machine, said slot having its exit in said upper surface at a position 10- catcd at a distance within the range of to 7% of the total blade chord downstream from the start of the area of
  • a blade having a cross-sectional profile of the nonlaminar airfoil type, said blade having a lower pressure surface and an upper suction surface, a slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit in said upper surface and disposed generally longitudinally of the blade in substantially a radial direction, a point of first and a point of second maximum of frictional intensity on said upper surface at the design operating condition of the blade, said slot having its exit in the upper surface at a position located a short distance downstream of said second maximum of frictional intensity at the design operating condition of the blade, said slot exit also being located within a range between 55% and 70% of the total blade chord, said slot having a width at its narrowest point within the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on said upper surface at the design operating condition of the blade, said slot also having a width within the range of from 2% to 4% of the
  • a blade having a cross-sectional profile of the airfoil type said blade having a lower pressure surface and an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing edge section ovenlapping the rearward airfoil portion leading edge section to form a slot, said slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit on said upper surface and disposed longitudinally of the blade in substantially a radial direction, the width of said slot at its narrowest point between said airfoil portions being within the range of two times to 2.66 times the thickness of the boundary layer on the upper surface of the trailing edge section of the forward airfoil portion at the design operating condition of the blade, the angle made by the lower surface of the forward airfoil portion trailing edge section and the chord of said forward airfoil portion being greater than the angle formed by the tangent to the
  • a blade having a cross-sectional profile of the airfoil type, said blade having a lower pressure surface, an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing edge section overlapping the rearward airfoil portion leading edge section to form a slot, said slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit on said upper surface and disposed longitudinally of the blade in substantially a radial direction, a point of first maximum of frictional intensity and a point of second maximum of frictional intensity on said upper surface at the design operating condition of the blade, said slot having its exit in said upper surface at a position located a short distance downstream of said second maximum of frictional intensity at the design operat ing condition of the blade, the width of said slot at its narrowest point between said airfoil portions being within the range of one time to 1.66 times the thickness of the
  • a pump or blower or the like of the axial flow turbo-machine type including a generally tubular housing having a rotor rotatably mounted therein with a plurality of circumferentially fixed blades on said rotor and with each of said blades having a cross-sectional profile of the airfoil type, the improvement comprising: a lower pressure surface and an upper suction surface on each blade, a slot extending through each blade from said lower surface generally in the downstream direction of the blade chord to an exit in said upper surface and disposed generally longitudinally of the blade in substantially a radial direction, a point of first maximum of frictional intensity and a point of second maximum of frictional intensity on the upper surface of each blade at the design operating condition of the blade, each slot having its exit in the upper surface of the corresponding blade at a position located a short distance downstream of said second maximum of frictional intensity at the design operating condition of the blade, each slot having a width at its narrowest point within the range of two times to 2.66 times the thickness of the boundary layer at the

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Description

July 20, 1965 H. E. SHEETS 3,195,307
TURBO-MACHINE wxz'va 51.0mm BLADES Original Filed m.- 20. 1958 a Sheets-Sheet 1 y 0, 1965 H. E. SHEETS 3,195,807
TURBO-MACHINE WIT I' I- SLOTTED BLADES Original Filed Oct. 20, 1958 8 Sheets-Sheet 2 INVENTOR.
y 0, 1 65 H. E. SHEETS 3,i95,807
TURBO-MACHINE WITH SLOTTED BLADES Original Filed Oct. 20. 1958 a Sheets-Sheet 3 IN VEN TOR.
y 20, 1955 E. SHEETS 3,195,807
TURBO-MACHINE WITH SLOTTED BLADES Original Filed Oct. 20,1958 8 Sheets-Sheet 4 ROTATION IN V EN TOR.
y 0, 1965 H, E": SHEETS 3,195,807
TURBO-MACHINE WITH SLOTTED BLADES Original Filed Oct. 20, 1958 8 Sheets-Sheet 5 i Q Q' M July 20, 1965 H. E. SHEETS TURBO-MACHiNE Wm! SLOTTED BLADES Original Filed Oct. 20. .1958
8 Sheets-Sheet 6 cam y 0, 1965 H. E. SHEETS 3,195,807
mnao-mcamn WITH 51.0mm) BLADES IN V EN TOR. Hawaii/Z6625 United States Patent M 3,195,807 TURBO-MACHINE WXTH SLOTTED BLADES Herman E. Sheets, Mystic, Conm, assignor to General Dynamics Corporation, Groton, C0nn., a corporation of Delaware Griginal application Get. 20, 1958, Ser. No. 768,499, new Patent No. 3,75,743, dated Jan. 29, 1963. Divided and this application Dec. 21, 1962, Ser. No. 246,620
11 Claims. (Cl. 230-434) The present application is a division of my prior application, Serial No. 768,490, filed October 20, 1958 now US. Patent No. 3,075,743.
This invention relates to turbo-machines for generating power from the kinetic energy of a fluid or, reversely, producing fluid pressure from mechanical energy. More particularly, the invention relates to turbo-machines of this type having improved blade constructions. Machines of this type include blowers, compressors, pumps, turbines, fluid motors, and the like. The invention specifically relates to turbo-machines having slotted blade construction which substantially improve the operational characteristics of the machines.
The invention is hereinafter described as being applied to the rotatable or rotor blades of an axial flow blower, but the principles of the invention apply genrally to the blades of various types of turbo-machines, whether movable or stationary.
Application of the principles of the present invention to the blades of an axial flow blower result in higher pressure output and substantially increased blower efficiency. For example, an axial flow blower utilized in accordance with the present invention has achieved efficiencies of ninety-four percent, with maximum stage efiiciency of about ninety-six percent. Maximum efiiciencies of prior blowers have been in the neighborhood of eighty-five percent. In addition, the blower of the present invention operates at a lower noise level, and requires less driving horsepower, between the design operating range and the airflow shut-off condition.
The blowers herein considered generally include a shaft, blade-carrying members surrounding the shaft, a plurality of blades arranged on the blade-carrying members, and a casing forming a stationary envelope about the ends of the blades. The machines also include an inlet ahead of the blade-carrying members and an exit diffuser after the blade-carrying members.
My prior Patent No. 2,314,572, issued March 23, 1943, relates generally to slotted blades in turbomachines, but the blades of this prior patent were constructed and arranged in accordance with earlier airflow theories, prior to the advent of the newly developed boundary layer theories. In contrast, however, the blades of the present invention were conceived by analysis and extensive test in accordance with the modern theories of boundary layer phenomena, to produce turbomachine blades which achieve considerably increased efiiciency while providing still higher pressure output.
Accordingly, it is an object of the present invention to provide a new and improved blade construction for turbo-machines.
Another object of the invention is to provide a turbo- .machine blade of the airfoil type having a generally longitudinally extending slot formed from the lower side of the blade to the upper side,
Bihifih? Patented July 2G, l95
A further object of the invention is to so locate and define the size and contour of such a slot as to provide substantially increased efficiency.
Still another object of the invention is to provide an improved blade for turbo-machines incorporating effective boundary layer control.
A further object of the invention is to provide a turbomachine blade having a slot located strategically with regard to boundary layer characteristics, for example, in a laminar flow airfoil at the point of transition from laminar to turbulent boundary layer, and so dimensioned that the driving jet from this slot is just sufficient to flush downstream all of the boundary layer of the forward blade portion.
A still further object of the invention is to provide a turbo-machine slotted blade construction which extends laminar fiow over a larger portion of the blade chord than with standard types of solid airfoil blades and which simultaneously permits larger flow deflections.
An additional object of the invention is to provide a turbo-machine blade construction of this character which permits a considerable increase in the pressure coefficient, or corresponding operation at lower tip speeds for a given pressure increase.
Another object of the invention is to provide a turbomachine slotted blade construction of the laminar flow airfoil type having more efficient flow characteristics than a similar solid laminar flow airfoil blade.
A further object of the invention is to provide a turbomachine of low noise level.
Still another object of the invention is to provide an axial flow blower having a low noise level and low driving horsepower required, particularly between the design operating range and the airflow shut-off condition.
A still further object of the invention is to provide an axial flow blower having driving power characteristics which result in substantially lower horsepower required at low capacity and at shut-off, as compared to power requirements in the design operating range.
An additional object of the invention is to provide a blower having a reduced vibrational force output in the range of capacities below the design operating range.
Other objects, features and advantages will be apparent from the following detailed description taken in conjunction with the accompanying drawings, in which:
FIGURE 1 is a perspective view showing a turbomachine rotor having a preferred type of blade, according to the present invention, assembled in cascade thereon;
FIGURE 2 is a schematic, longitudinal sectional view of a turbo-machine, including a rotor and a stator, having slotted blades of the present invention;
FIGURE 3 is a diagrammatic end view of a slotted blade of a modified construction;
FIGURE 4 is a diagrammatic illustration of a nonlaminar cambered airfoil section illustrating the boundary layer thereon;
FIGURE 5 is a view similar to FIGURE 4-, but showing the airfoil provided with a slot and illustrating the resulting change in the boundary layer;
FIGURE 6 is a view similar to FIGURE 4, but illustrating a laminar-flow airfoil section with the boundary layer associated therewith;
FIGURE 7 is a View similar to FIGURE 6, but show- 5 ing a slotted laminar flow airfoil, like the non-slotted airfoil of FIGURE 6, and illustrating the change in the boundary layer;
FIGURE 3 is' a graphic diagram showing. frictional intensity and pressure on the upper surface of non-slotted,
non-laminar flow airfoil plotted relative to the airfoil chord; t
FIGURE 9 is a diagrammatic showing of a slotted blade profile, according to the present invention;
FIGURE 10 is an enlarged fragmentary diagrammatic view showing a portion of the blade of FIGURE 9 on an enlarged scale;
FIGURE 11 is an enlarged,,fragmentary diagrammatic view similar to FIGURE 10, but illustrating the boundary layer relationship in the region of the airfoil slot;
FIGURE 12 is a graphic diagram, showing the performance of a standard blower;
FIGURE 13 is a graphic diagram comparing a slotted blade blower, according to the present invention, and a standard blower, in terms of pressure and efliciency relative to flow capacity;
FIGURE 14 is a graphic diagramcomparing the blowers of FIGURE 13 in terms of horsepower and air borne noise level as a function of flow capacity;
certain maximum of circulation flow which cannot be exceeded without causingflow disturbances due to boundary 7 layer separation, thus limiting the pressure difference which canbe generated between blade inlet and exit.
The substantially. improved operation of turbo-machines, according to thepresent'invention, is the direct result -of the novel blade configurations which were ,de-
7 effects of viscosity cannot be ignored and the flow must FIGURE 15 is a schematic illustration of a non-slotted turbo-machine blade operating in the airflow shut-off condition and illustrating the flow components about the blade;
FIGURE 16 is a schematic view similar to FIGURE 15, but illustrating theflow components about the slotted blade, according to the present invention, with the blade operating at the airflow shut-off condition; and
7 FIGURE 17 is a schematic sectional view taken along line 17-17 of FIGURE16.
The present invention relates to turbo-machines of essentially the axial flow typep The blades with'which the present. invention is concerned are generally characterized by the existence of a throughflow. and circulation flow. The fluid particles follow the flow pattern defined by superimposingthe flow of fluid through the of the pressure ditferencebetween the upper and lower 7 sides of the blade. The pressure difference, in turn, causes a lifting force on the blade, resulting in a blade characteristic defined by I lift coeflicient and angle of be considered viscous. I r
' The existence of a relatively slow-moving layer of fluid close to the 'surfaceof a body in a fluid flow system was discovered "about fifty years ago. This relatively slow moving layer of air is "referred to as the boundary layer. At first, boundary layer phenomena were not well enough known to calculate the characteristics of the boundary layer even for the simplest of cases. By the early 1920s the phenomena had been explored'sufliciently to' permit rough calculation of .boundar'ylayers along flat plates in fluid flow of essentially cons-taut velocity and pressure.
It was discovered, and it has now been intensively developed, that a boundary layer is ordinarilylaminar at the start andat a certain distance downstream undergoes a transition for' a certain limited range until the boundary layer becomes fully turbulent. The flow in the boundary layer can thus'be grouped into three different phases,
namely, laminar flow, transitional flow and turbulent flow.
In alaminar boundary layer the flow is smooth and without eddies, in a multitude of relatively undisturbed layers varying in velocity from zero at the surface to the free stream velocity at the. outer edge of the boundary layer. In a turbulent boundary layer, a large number of relatively small eddies exist so that the flow is no longer attack. Blades with the above characteristics are generally known as cambered airfoil type blades. 1 Y
The entire flow process caused by the shape of the blade results in a deflection of flow between blade inlet and exit, the amount of flow deflection being a function of the amount of circulation, through flow and blade arrangemen-t. This flow deflection, in turn, results also in a pressure difference between blade inlet and blade exit, this pressure difference being a pressure increase in the case of a blower or pump, and a pressured decrease in the case of a turbine.
in undisturbed layers. These eddies in the turbulent boundary layer induce transfer of momentum from the router particles of the fluid, moving with relatively high velocity, to the fluid film close to the surface of the airfoil, resulting in ia velocity distribution having a higher vel-ocitynear the surface. Due to this mechanism, of fluid flow, skin friction and energy loss of a turbulent boundary layer is higher than for a comparable laminar boundary layer. A transitional boundary layer is that boundary layer region, lying between the-end of a laminar boundary layer and the beginning of a fully developed turbulent boundary layer.
Turbulent boundary'layers are less inclined to separati -on, than-laminar layers because of the increased interchange in'momentum in the turbulent layers. If laminar flow separation occurs, theflow may leave the surface of the airfoil permanently or may reattach itself in the turbulent boundary layer. It turbulent flow separation occurs, it can adversely affect the flow through the next 7 ,row of rotor or stator blades. As the fluidmoves over The pressure diffe-rencebetween theupper and lower sides of the blades and the corresponding distributionof pressure causes the flow of fluid to becorrespondingly accelerated and decelera-ted, respectively, 'inits course 651 along the surface, and changes to .a transitional and then .each of the blades, the boundary'layer is initially thin in the laminar flow section, thickens as the flow progresses a turbulent boundary layer. The extent of the laminar,
I transitional .and turbulent boundary layers along the airfoil from the leading edge to the trailing edge;according to i Bernoullis Law. The sectional shape of the blade and .its corresponding circulation flow determine the amount of fluid acceleration-deceleration along the blade surface. The total pressure difference between'the' blade inlet and exit is a function of the amount of circulation flow or its corresponding lift coefficient, However, there is a isa function of theblade geomtery, blade loading, Reynolds number, and turbulence in; the generalzflow stream. [If no separation occurs, the airfoil drag is primarily caused by skin'friction and the valueof the drag depends mainly on therelative amounts of laminar and turbulent boundary layer flow, 1, .1:
w Because of the decreased drag associated with laminar Menrorandum issued in 1951.
boundary layer flow, it is desirable to maintain laminar flow along an airfoil for as great an extent of the chord length as is possible. In the early 1940s, the first series of low drag, high critical speed airfoils were developed and tested by the National Advisory Committee for Aeronautics (NACA). Such low drag airfoils were designed to provide a pronounced reduction in profile drag by reduction of the skin friction through increasing the relative extent of the laminar boundary layer. Such airfoils are now commonly referred to as laminar flow airfoils. Information concerning such airfoils was first published in 1943 in NACA Report No. 763, Tests of Airfoils Designed To Delay the Compressibility Burble, by John Stack. This report relates to single laminar flow airfoils of symmetrical cross-section. Subsequently, the theory of laminar flow airfoil was extended to cambered airfoils and reported in 1945 as NACA Report No. 824 entitled, Summary of Airfoil Data, by Ira H. Abbott, Albert E. von Doenhoif and Louis S. Stivers, I r.
The newly developed laminar flow airfoils designed by laminar boundary layer over a certain extension of the chord to a position where sudden changes in pressure gradient results in transition to a turbulent boundary layer. Such airfoils have been designed with laminar boundary layers to about sixty percent of the blade chord length. There are distinct advantages of low drag when these airfoils are used within the range of optimum conditions for which they are designed.
The laminar flow airfoils developed by the NACA have a common physical characteristic in that the point of maximum thickness always occurs at or farther than 30% of the chord length downstream from the leading edge. Accordingly, hereafter in this specification and in the claims the term laminar airfoil is defined as an airfoil in which the maximum thickness occurs at a point at least 30% of the chord length from the leading edge and in which the laminar boundary layer on the upper surface extends over a large portion of the chord length at design operating condition. Non-laminar airfoils are defined as all others.
Beginning in about 1947, the newly developed theories concerning the effects of laminar turbulent and transitional boundary layers were discussed in various engineering textbooks. For example, one of the earliest is En gineering Application of Fluid Mechanics, by 3. C. Hunsaker and B. G. Rightrnire, 1947.
The theories of boundary layer flow phenomena were not extended to cascades of airfoils used in turbo-machinery until some time later, as set forth in NACA Technical Note 3916, dated February, 1957, entitled Systematic Two-Dimensional Cascade Tests of NACA 65- Series Compressor Blades at Low Speeds, by L. Joseph Herri'g, James C. Emery and John R. Erwin. This treatise originally appeared as a classified NACA Research This report establishes that a laminar flow airfoil which is designed to have a laminar boundary layer up to a predetermined point has, when tested in cascade, a nearly constant pressure distribution up to this point even though the pressure may locally be sligtly decreasing or increasing. However, a laminar boundary layer is maintained to approximately this predetermined point even though in cascade the pressure distribution may be slightly increasing.
The invention relates especially to turbo-machines with airfoil type blades of the laminar flow type. For these types of blades, the boundary layer, boundary layer thickness and growth can be determined and controlled. The
turbo-machines with laminar flow blades have the lowest drag and the highest efficiency.
The invention is particularly concerned with creating an improved fluid flow process within the boundary layer by means of blades having a slot of special shape and design, which in turn permits the performance of the entire turbo-machine to achieve higher efficiency, or larger pressure differences between inlet and exit, or a combination of both.
Ever since the discovery of the existence of a boundary layer attempts have been made to avoid separation of the boundary layer by means of suction systems, blowing systems, slots or otherwise, and such attempts have been referred to as boundary layer control. Today much more exact information is available concerning fluid flow process thus permitting calculation of boundary layer thickness and extent of boundary layer. Consequently, it has only recently become possible to scientifically ascertain and calculate slot location and dimension and to include these in the concept of boundary layer control. The present invention is concerned with the scientific formation of slots in turbo-machine blades for improved boundary layer control in the modern concept.
The slotted blade establishes a flow from the lower to the upper side of the airfoil. This results in a sink and boundary layer removal on the lower side of the airfoil, and a source with ejection of fluid on the upper side of the airfoil. In order to achieve minimum drag, pressure distribution in accordance with the latest NACA findings for airfoils in cascade is desirable over the initial part of the airfoil surface upstream of the slot location. On the upper blade surface, a laminar boundary layer is maintained to a predetermined point along the blade chord where ejection of fluid occurs, resulting in addition of energy to the boundary layer and simultaneously in a pressure change. A part of the fluid flows through the slot, according to the invention, and a new impulse is imparted to the fluid particles in the boundary layer on the upper surface, in the area of transition from laminar to turbulent flow, which impulse results in energy addi tion and establishes quick transition to a turbulent boundary layer.
The quick formation of a turbulent boundary layer at this point on the upper airfoil surface is really advantageous, because the air is thereby given more momentum to follow the rest of the airfoil surface. In a laminar flow airfoil there is of necessity a steep pressure gradient in the turbulent boundary layer, and the flow must advance without separation against this steep pressure gradient. if the transition to a turbulent boundary layer is delayed so much that the laminar boundary layer separates, and stays separated, then the result is an increased drag coeficient. The location and amount of fluid ejection producing energy addition can be controlled, thus permitting flow without separation against the steep pressure gradient in the region of transition to turbulent flow.
The slotted blade of the present invention permits the design of airfoils with favorable pressure distribution and laminar flow over greater portions of the chord than would otherwise be possible, even for highly cambered airfoils. The lower surface flow sink resulting in removal of the boundary layer thereby extends the range of laminar flow to approximately the trailing edge under de sign conditions. A pronounced reduction in drag is obtained by the reduction of the skin friction through increasing the relative extent of the laminar boundary layer on the lower airfoil surface.
FIGURE 1 shows in perspective, a rotor having slotted blades according to this invention. The blades are mounted in cascade on the rotor of an axial blower. The rotor is designated 31, the forward blade portions 33, the rearward blade portions 35 and the radially extending slots 37.
FZGURE 2 is a showing of one form of apparatus in 'chord of the combined airfoil.
. '9' which the improved blades may be used. The drawing shows a blower with a tubular housing 41, having an outwardly flared intake end 43. A motor housing 45 is supported on guide vanes 47 which are of the slotted design. drive shaft 52 and carries, slotted blades 53, the tips of which extend to points closely adjacent the inner surface of the housing 41. The rotor is shown with a hemispherical cap 55. A conical diffuser 57 is shown extending rearwardly of the motor housing 45. The showing is somewhat diagrammatic and is illustrative of a form of possible application of the improved blade construction.
FIGURE 3 shows overlappingblade portions 61 and 63 which are joined together at the slot by connecting members 65. Such members preferably have a relatively small dimension radially of the blade and thus obstruct A rotor 49 is driven by'a motor 51 through a only small portions of the slots. One or more such connecting members may be used toward-the free tip ends of the blade to stiffen the construction. 7
In FIGURE 4 of the drawings therehas been shown a conventional non-laminar type of cambered airfoil 11 with the boundary layer indicated in cross-hatched areas about the airfoil. In FIGURE 5 the same-type of airfoil 11 has been shown, but here provided with a slot 13.
In FIGURE 6 a cambered airfoil 17 'of the laminar flow type has been shown togther with boundary layers above'and below. FIGURE 7 shows a comparable slotted airfoil of the laminar flowtype, the airfoil actually consisting'of a pair of overlapping smallerrairfoils 19 .and 21 with the overlap forming a slot 23. The boundboundary layer to flow against the steep adverse pressure gradient and to avoid separation. For further analysis of airfoil drag and boundary layer characteristics, and for the specific development of slotted blades according to the present invention, the effects of the frictional intensityare of particular interest. Frictional intensity is defined by multiplying the velocity gradient in the boundary layer at the airfoil surface with the viscosity, of;the air. Thus, frictional'intensity can be determined experimentally. FIGURE' S shows data of pressure distribution andfrictional intensity for the upper surface of a non-laminar airfoil, both in dimensionless form by dividing their corresponding values by the value, of free stream energy or dynamic pressure /a V where p is the free stream density of the air and V is the velocity of the free stream air relative to the airfoil. on the upper surface, frictional intensity has one maximum value near the forward section, and a second and larger maximum value a certain distance downstream relative to the airfoil chord. The transition from laminar to turbulent flow in theboundary layer takes place in the region between these two maxima. For laminar flow airfoils-this transition takes place immediatelyfollowing the point of minimum frictional intensity between these two maxima. Usuallythe transitional region moves towards the forward section as the blade .loading increases. Distribution of normal pressures indicates that the transitional region is frequently situated just downstream to the pointof lowest absolute pressure. The distribution of frictional intensity on the lower surface. resembles that on the upper surface, but the maximum ,values are smaller. It appears that the frictional intensityreduces towards the trailing edge, provided that no separation of flow occurs on either. the upper or lower surface. It must be remembered that the'values for frictional intensity will vary just like the values for pressure distribution with airfoil parameters like camber, thickness, cascade solidity and stagger angle and for the same. airfoil it will vary present invention, showing the relative positions of two 1 blade portions and illustrating the slot configuration and location. FIGURE 9 shows the overall blade configuration, while FIGURES 10 and 11 are enlargedfrag- 'mentary illustrations of the slotted portions of the blade.
FIGURE 10 specifically illustrates the nozzle-like con figuration of the slot and the flow-directing characteristic. FIGURE 11- specifically illustrates the relationship of the boundary layers inthe region of the slot for detailed consideration in determining the slot gap or width.
Referring to FIGURE 9, the combined blade is characterized by. the magnitude of the camber angle'O, and
the physical location of the maximum of the mean cam-.v 7
her line relative to the overall chord c, designated by the abscissa h and the ordinate h For the preferred configuration, the maximum camber is located near the rear part of the mean camber line of the, forward airfoil.
The slotted blade is furtherdefined by the deflection angle '6 between the chords of forward and rear airfoil, measuring the deflection of the rear airfoil against the forward airfoil. The angle 6F in FIGURE 9 defines the angle between the chord of the forward portion airfoil and the Theangle ER in FIG- URE '9 defines the'angle between the chord of the rearward portion airfoil and the chordofthe combined airfoil. There is a simple geometric relationship between the angles 6, F and 6R as the chord of the combined, forward and rear airfoil form a triangle. The location of the slot entrance on the lower airfoil surface, representing the flow'sink, is defined by the distance m "m represents the Width of the-slot inlet, and s. represents 7 represents the distance of the slot overlap between the forward and rear airfoils.
the width at the slot exit. 0
On the upper side of the blade, fluid is ejected at the location s the slot exit, for the purpose of'energizingthe with blade loading or angle of attack. The transition from laminar to turbulent boundary layer occurs on the upper and lower side of the airfoil in the vicinity of the first minimum of frictional intensity. In FIGURE 8 the first minimum of frictional intensity is associated with the normalpressure distribution so as to occur in the area of lowest absolute pressure.
7 For non-laminar flow airfoils both pressure. distribution and frictional intensity as functions of'chord length are frequently not as simple as shown in FIGURE 8, and the pressure distribution functions can havea large number of irregularities and even discontinuities. However, for
,laminarflow airfoils according to the requirements as stated in the NACA reports, the pressure distribution must.
follow certain laws, thushaving a relatively. simple relationship over the chord length. The same is true for frictional intensity, which follows the boundary layer velocity distribution at. the airfoil surface.
7 Slot location:
' completely disperse itso that anew boundary layer forms .layer' conditions *and .tional intensity.
over the upper surface downstream of the slot. This -results'in minimum drag and permits a design of laminar flow airfoils. of higher camber and lift coefficient. The slot exit location is determined according to boundary particularly with respect to fric- With respect to slot exit location for non laminar flow airfoils at the design condition, it is desirable to maintain the boundary layer relatively thin to the slot location. To accomplish this the design of the airfoil should give values of pressure distribution and frictional intensity so that the boundary layer remains thin over a large portion of the airfoil, for example, fifty or sixty percent. As is the case with laminar flow airfoils, the flow through the slot should fiush the boundary layer on the upper side of the airfoil downstream, and completely disperse it so that a new boundary layer forms over the upper surface downstream of the slot. This results in a higher lift coefficient and simultaneously in a drag coefficient as low or lower than comparable non-slotted airfoils. The exact slot location is again determined according to the principles of boundary layer conditions and frictional intensity.
It is important that slotted airfoils according to the present invention operate satisfactorily over the entire range of operation of the turbo-machine. Consequently, due to the range of angle of attack, the airfoils must be designed so that satisfactory flow is maintained under all conditions. This means, for instance, that the slots of laminar flow airfoils must be so dimensioned that in nonlaminar fiow conditions, within the operating range of the turbo-machine, the turbulent boundary layer on the upper side of the airfoil is still completely dispersed by the How through the slot, so that a new boundary layer forms. Furthermore, it is important that the slot be so dimensioned to prevent stalling and other flow irregularities, which would result in unstable flow conditions, since blowers with unstable flow characteristics are generally undesirable.
According to the present invention, in laminar flow airfoils the slot exit on the airfoils upper surface is located within the transitional region of the boundary layer, said region being located between the two maximum frictional intensity values for the upper surface. For laminar flow airfoils slotted according to the present invention, the transitional region is very short. The transitional region is further defined as that region of the boundary layer which extends downstream from the end of the laminar boundary layer to a point where the turbulent boundary layer has completely replaced the laminar boundary layer. The former point normally coincides with the first minimum frictional intensity value and the latter point normally coincides with the second maximum frictional intensity value. The best results are obtained when the slot exit is located immediately upstream of the second maximum frictional intensity value, a point hereinafter referred to as the point of transition.
It should be specifically noted that the point of transition for all airfoils can be readily located through the use of frictional intensity data inasmuch as it normally coincides with second maximum of frictional intensity.
For medium Reynolds numbers and for laminar flow airfoils in cascade in blowers, the point of transition can also be more roughly ascertained in another manner since it is located downstream from the point of minimum static pressure at a point where the maximum increase in static pressure occurs. Using this information in conjunction with existing blade surface pressure distribution data, such as that contained in NACA Technical Note No. 3916, referred to above, the point of transition for non-slotted airfoils can be located only approximately, i.e. within a ten percent range.
According to the concepts of the present invention, it has been found that the point of transition on a slotted airfoil occurs approximately five to seven percent of the chord length farther downstream than it would on a similar non-slotted airfoil under otherwise identical conditions. It has been observed that a slotted airfoil designed in this manner has about the same flow deflection and velocity distribution characteristics as that of the equivalent non-slotted airfoil. This feature is important since it allows use of the NACA test data for numerous nonslotted airfoils to develop a slotted airfoil having known characteristics. The resulting slotted airfoil provides a quick transition from laminar to turbulent boundary layer flow resulting, consequently, in a narrower range of transitional boundary layer flow. As a result of the extension of the laminar flow boundary layer range and the shortening of the transitional boundary layer range, the slotted airfoil according to this invention results in a reduction in drag and an increase in eficiency.
The advantageous five to seven percent downstream shift of the point of transition in slotted airfoils according to the present invention is the result of the jet efiect of flow through the slot. When two fluid streams of different velocities flow side-by-side in the same direction, the stream intermix and the faster moving stream tends to induce increased velocity of the slower moving stream, both upstream and downstream of the point of mixing. In the present instance, one of these streams is the boundary layer on the upper surface of the airfoil while the other is the flow through the slot. It is known that for a flow analysis within the boundary layer, viscous forces cannot be neglected. In addition, the flow through the nozzle-shaped slot has a low Reynolds number compared with the flow over the airfoil. Thus, when the energy of the fluid flow through the slot is added to the viscous flow in the boundary layer traveling in the same direction, this additional energy, when properly added at the proper point, delays the point of transition and moves this point approximately five to seven percent of the chord length farther downstream, when compared with an equivalent non-slotted airfoil.
In my earlier patent, referred to above, a slotted, nonlaminar airfoil was disclosed in which the slot exit on the upper surface of the airfoil was intended to be posi tioned at the point of maximum static pressure increase following the point of minimum static pressure, or at a point about two-thirds the chord length downstream from the leading edge of the airfoil.
In contrast, in accordance with the principles of the present invention, for laminar flow airfoils the slot exit on the upper surface should be located immediately upstream of the second maximum frictional intensity value (in other words, immediately upstream of the point of transition) at the design condition. For non-laminar flow airfoils, according to the present invention, the slot exit should be located a short distance downstream of the second maximum frictional intensity value (point of transition) at the design condition.
When frictional intensity data are not available, for laminar flow airfoils the extent of the laminar boundary layer for the design condition can be calculated in accordance with modern boundary layer theory from the available pressure distribution data. The slot exit on the upper surface is then located at the end of this laminar coundary layer for the design condition. For non-laminar airfoils the slot exit on the upper surface is located approximately five to seven percent of the chord length downstream from the start of the maximum static pressure increase following the point of minimum static pressure at the design condition.
In my prior patent, energy Was imparted through the slot merely for the purpose of eliminating stalling and thereby achieving a greater pressure output. This Was done at the expense of increased drag and lower over-all efiiciency. In the present invention, energy is imparted to the boundary layer on the airfoils upper surface for the purpose of effecting a quick transition from laminar to turbulent boundary layer and for increasing the extent of the laminar boundary layer, thereby achieving both a higher efficiency and a higher pressure output.
An important advance of the present invention is the utilization of the concept of frictional intensity and the relation of pressure distribution data to this concept for slot location as defined above. The importance of frictional data results from a recognition of the fact that the true skin friction drag is the sum of the frictional on the lower surface of the airfoil. 1 In general, thisinlet,
should be located in the same manner as the slot exit fora laminar flow airfoil, in other words, immediately upstream of the-point of transition to turbulent boundary layer on the lower surface. l V V The entrance on the lower surface provides a sink for the removal of the boundary layer. A new laminar boundary layer forms on that portion of the airfoils lower surface downstream of the slot entrance and sometimes this new laminar boundary layer extends completely to the trailing edge. This results in a slotted blade having a greater extent of laminar boundary layer over the lower surface than'over the upper surface, with a consequent increase in the total'laminar boundary layer overthe airfoil. Since the amount ofskin friction produced in a laminar boundary layer is considerably smaller than that produced in a turbulent boundary layer, a pronounced reduction in drag results.
Consequently, a simultaneous treatment of upper and lower blade surfaces is of distinct advantage. In accordance with the present invention, to achieve optimum boundary layer control on both sides of the airfoil surface, airfoils should be selected in which the transition point on the lower surface at design condition lies either downstream from the transition point on the upper surface or no farther upstream than Will permit proper placement of the slot entrance ahead of the slot exit. This results in maximum increase in pressure and blade efficiency. It hasbeen found that this condition exists in many of theNACA 65-Series laminar flow airfoils over a Wide range of flow, cascade, solidity and stagger conditions, and accordingly, these laminar flow airfoils are readily provided withslots according to the present invention. thermore, the use of this airfoil series makes the application of theinvention particularly easy because of the publication of pressure distribution over a wide range of operating conditions, stagger and solidity.
Earlier slotted airfoils did not define the location and requirements for the slot entrance on the lower side of the airfoil, and consequently considerable losses occurred due to high frictional intensity values on the lower airfoil side. With the non-laminar airfoils it is not possible to have a laminar boundary layer on the lower side of the, rear airfoil portion of a slotted airfoil if the slot exit is .to be located according to the present invention.
Slot overlap and flow direction er cambered airfoil section atthehub of the impeller.
The same is true for the location of flowexit s onthe and T3 and the configuration of the slot'upstream of-the slot exit. The direction of the angle rm relative to both forward and rear part of the airfoil important and is defined by eifectively'cr'eatinga nozzle-type configuration at the slot exit so as to produce a fluid flow of predetermined characteristics and to eject it efficiently for proper acceleration of the boundary layer. 7 l
. The slot must be so directed that the fiow of ejected fluid will be in the same directionas that ofthe fluid which is flowing along theupper surface at the slot exit. When the slot is located, between the mid-point of the total chord length and the trailing edge, relatively little overlapping of the two airfoil portions is required, since the fluid flows in a fairly straight path from the lower to the upper surface." However, if the slot should be located upstream of the, blades mid-point, the two airfoil portions must be overlapped to 'a greaterv extent in order. that the flow through the slot be ejected in the same direction as the flow on the upper surface of the airfoil at the slot exit.
Taking into account all of the variables which relate to slot overlap, it has been foundthat the overlap 0 should be Within the range of from .5 percent to 5 percent of theover-all chord'c. The discharge opening or. slot exit s must be smaller than thee'ntrance m of the slot to give the necessary nozzle effect; Furthermore, ,it will be noted that the angle 1" made by the lower surface trailing edge portion of the forward'airfoil portionjand the chord of said airfoil portion is greater than'the angle r3 formed v by the tangent to the supper surface of the rearward airfoil portions at the slot exit and the same chord. This relationship insures that a flow coming out of the slot is ejected in the proper. direction.
Slot gapof width of the slot with the associated boundarylayers. In this figure t designatesthe thickness .ofthe boundary'layer on the lower surface of the forward airfoil trailing edge portion, t designates the thickness of the boundary layer on the upper surface of the forward airfoil trailing edge portion, and t designates the thickness of the boundary layer on the upper surface of the rearward airfoil leading edge portion at the slot exit. As before, S designates the slot gap at its exit. In addition, S designates the effective gap at the slot exit, between the boundary layers formed on the lower surface of the, forward airfoil and the upper surface of the rearward airfoil.
. The principles of jet pumps derived from the book .Centrifugal and Axial Pumps, by A. 1., Stepanolf, 1948, beginning on page 414, can beutilized to calculate the area relationships between a jet flow nozzle and the'sec ondary flow induced by this jet flow, for various conditions of pressure and flow. It has been determined from .a synthesis of flow theoriesder'ived from various scientific treatises, such as Modern Developments in Fluid upper side of the combined airfoil. In addition the V amount of overlap is increased with the higher'camb'ered airfoil required at the root of, the blades. The larger pressure difference for the higher cambered airfoil. would result in a larger amount of flow through the slot opening and overlap remained the same.
Referring to FIGURE 10, the angle 1''. of thelowersur: face trailing edge of the forward. airfoil and the angle 73 of the forward part ofthe; upper surface of the rear airfoil at the slot exit have to be carefully selected to a permit the flow moving through the slot to properly energize theboundary layer of the combined profile without causing undue drag. All angles are shown in FIGURE 10 and are-measured with regard to the direction of the 1 chord line of the forward airfoil. The angle Tm defines .the mean direction of the fiuidrat the slot exit. .This
;direction is defined by the local-value of theangles 7' the slot if both 7 Dynamics, by S. Goldstein, Oxford, 1948, and has been verified. by extensive test, that these jet jump theories can be applied to the flow conditionsin a slotted airfoil accordingto the present invention. 7
' In the case of a slotted airfoil, the pressure for the driving jet-, i.e., the flow through the slot, is relatively low and, consequently, the velocity of the driving jet leaving the slot is relatively'low. The fluid mass to be pumped, i.e., the .boundary layer on the upper side of the combined airfoil, has a velocity of 'zero at the ,airfoil surface and a velocity equal to the main flow at, the outer border of the boundary layer. This velocity can-befdetermined from the total pressure and velocity pressure of the combined airfoil.
' By applyingthe se principles to the actual airfoil test data taken from various NACA Reports, and calculating the 13 by A, Jacob, for example, the following table of typical jet flow area ratios can be obtained:
In the above table, A is the area of the driving jet and A is the area of the induced flow mass at the jet exit. The pressure distribution data for the airfoils listed were taken from NACA Technical Note 3916, referred to above, for the first eight airfoils, from NACA Technical Note 3937, March 1957, for the next two airfoils, and from NACA Technical Report No. 613, 1938, for the last airfoil listed.
From the above table, it will be seen that the average area ratio is as follows:
Also from the table it will be seen that the following equation covers the range of area ratios for the various airfoils listed:
Considering the slotted airfoil, as shown in FEGURE 11, and applying the principles explained above, the area ratios of the table can be considered as proportional to the effective slot width S at the exit divided by the boundary layer thickness 2 on the upper surface of the forward airfoil at the same position, so that:
From the terminology shown in FIGURE 11, it will be seen that the effective slot width or gap can be expressed as follows:
For an approximate solution for the slot width, it may be initially assumed that the boundary layer thickness S =St (4) From the book Principles of Turbo-lviachinery, by
,D. (3., Sheperd, 1956, beginning on page 161, and from the book Boundary Layer Theory, by Dr. Herman Schlichting, 1955, the following formulae for boundary layer thickness are derived:
6L= g for laminar boundary layer 6T=' Z g for turbulent boundary layer the axis of rotation of the turbo-machine.
l4 Where X equals the chord location in inches and R equals Reynolds number for this location.
Solving for S in Equation (2), using the average area ratio of Equation (1) and substituting the value of S in Equation (4), the slot exit gap can be simply expressed as follows:
Taking into account the tolerance accuracy expressed in Equation (la), the maximum and minimum slot gaps are expressed as follows:
S (minimum) =2t S(maximum) =2.66t
Applying these formulae to several typical ranges of flow velocities and blade chords, the following values of slot gap expressed in terms of percent of total chord were derived for chord positions varying from 25% to 62 /270 of the total chord:
%, (minimum) 42% For all laminar and non-laminar flow airfoils S 6 (maximum) 5.74%
(minimum) =.42% For laminar fiow airfoils 6 (maximum) =2.24%
In order to accurately check these results, another series of more thorough calculations were made to determine the actual boundary layer thicknesses for various NACA laminar flow airfoils in cascade for both the concave and convex sides. These detailed analyses were made using the mathematical methods derived in the book by Schlichting, referred to above, and they indicated that the assumptions for the approximate calculation were justified. Therefore, the extensive theoretical analyses for several conditions of flow and chord length for a number of different airfoils indicate that, for all practical cases, the slot exit gap should be within the range of .5 to 5% of the total airfoil chord. The slight minimum and maximum variations from this range in the simplified calculations are explained because the values were calculated on the basis of flat plate boundary layer thicknesses.
Thus, the detailed analyses and synthesis of theories have verified the extensive test results of slotted blade airfoils in cascade, in accordance with the present invention.
To summarize, then, the slot gap is defined reasonably accurately as follows:
S (minimum) :2t
S (maximum)=2.66t
The more exact expressions for a slot gap are expressed as follows:
Slot direction relative to turbo-machine An additional feature of the slot configuration is its formation in a straight radial direction with respect to Inasmuch .for low airborne noise level.
as the blade speed, with respect to thefluid, increases from root'to tip of the blades, decreased camberis provided from root to tip. The radial directionof the. slot is to accommodate a certain amount of three-dimensional flow of the fluid in the turbo-machine. If the slot' were not radial, the outward boundary layerflow,'d ue to centrifugal force, would cause considerable flow disturbance.
When blades of 'prior turbo-machines were twistedand provided with varying camber, the slots were thrown considerably oif radial with resulting flow disturbance.
Reduced noise level and power requirements ditions between the design operating range and theairflow shut-off condition.
The airborne noise level of a-blower is a function of the speed of the air flowing over the blades, the blade area and surface smoothness the boundary layerfthe wake and turbulence of the flow. If a blowerconsists of an impeller havingrotating blades and stationary guide vanes, each of the'rotating and stationary blades alfect the over-allairborne noise output of the blower in accordance with their relative contribution, and the above flow phenomenon relating to noise must be properly considered for both rotating and, stationary vanes. Theain borne noise level'at the design point, can be reduced by designing the blower for lowest velocity between the rotating impeller blades and'the relative airflow, and simultaneously fora low value of absolute velocity over the guide or stationary vanes of'the blower. For a certain blade configuration, the lowest noise level isachieved to startfrom. the maximum operating capacity at D and adjust and reduce the flow down to a value of shut-oft", as indicated by C. For optimum operating conditions, the capacity of the system shallcoincide with the point A. of the blower indicating/maximum efficiency. For
range from 'C to D. Most' axialflow blowers have characteristics which result in apressure drop from A to D, and a pressure increase from A.t0 C, as indicated in FIGURE '12. The pressure increase from A to C is also responsible for a corresponding input, horsepower increase. FIGURE 12-showssuch a power characteristic, indicating higher horsepower consumption :at shut-off than at the point of maximum efiiciency designated A Typical characteristic curves of axial flow blowers similar to FIGURE 12 are shown'in the literature, for instance, FIGURE 120, page'2 56 of Fluid :Mechanics of Turbo-Machinery-by George Wislicenus, FIGURE 13.8, page 252, and FIGURES 13.19 and 13.20, page 271, of Turbo-Blowers by A. I. Stepanoff, Phd.
The airborne noise of the blower shown in FIGURE 12, has the highest. value at. shut-off point C the lowest value near the design point A and then again slightly increasing values of noise to the point of maximum operating flow at D This portion ,of the invention consists of using, with an axial flow blower, "a special type of slotted blading which permits considerable improvement of the noise characteristics and the driving horsepower requirements 7 in the practical opera'ting range. as indicated in FIGURE for a predetermined pressure by the lowest air velocities.
and the smallest blade surface area. Accordingly, a
blower with blades generating a 'high pressure coefiicient and comparatively small total blade area is of advantage It results in an inherently lower relative velocity overthe blades ofthe impeller for a given pressure increase.
The structural noise of the vibrational force output of a well-balanced prime mover, and particularly of an electric motor, is a direct function of the horsepower output.
Therefore, under otherwise equal conditions of perform- 1 ance and balancing, a more efiicient blower has a'lower 12 between points C and It has been found thatby using slotted blades of special configuration in the impeller'alone, or in the impeller and/or guide vanes of 'an axial flow blower, the
'- pressure characteristics of the blower can be changed so that the pressure, from the maximum design point, FIGURE 12, at A, increases only slightly with reduced capacity and then the pressure reduces .to a varying degree so that at shut-off, the total pressure is smaller than at the design point or the point of maximum pressure.
Depending on the selected design of-the slotted blade, -the pressure. at shut-off can be made to be only two-thirds, one-half, or even less of the pressure at maximum del sign point A. This change-in pressure characteristics structural noise outputbecause it requires a.relatively smaller horsepower input. In addition, if the blower operateswithina predetermined range of operating ,condh tions, the vibrational force output can be controlledrand" predicted, if the horsepowerrequirements over the desired operating range are known. More specifically, if a blowor is desired to operate from the pointof maximum efficiency to shut-off, a lower vibrational force output can be achieved at lower capacities, including shut-oil, with a horsepower characteristic requiringless input or driving horsepower at lower capacities, including shut-off; I V
The noise characteristics of the blower are of considerable significance at operating conditions away from the 5' design point or maximum etficiency operating point.
FIGURE 12 shows the operatingcharacteristics of a typi* cal axial flow blower, with the design point designated at A. The point of free' flow without a duct system is.
designated as B. The point of shut-off of flow is designated as C. When such a blower is'installed in a ventilating system of the recirculating type, there is a'certain amount of resistance, consisting of heating or cooling coils and duct friction, inherently built into the system, and, therefore, under such operating conditions,,a'
capacity larger than the flow designatedatD can never 'be obtained; However, by adjusting various controls ,7 and dampers in the system, the flow can be. adjusted to meet a wide range or requirements. It is usually possible of the axial flow blower, in turn, changesthe power characteristics of the blower so thatan axial blower with such slotted blades has a decrease in power requirements at smaller capacity and at shut-off, as compared with the .design point. 'The' decreased power,
pressure and noise characteristics resulting from incorporation of a properly, desinged slot is defined graphically ,in FIGURES l3 and 14.
FIGURE 13 shows the performance. of a slotted blade axial flow blower interms of pressure .and efficiency plotted versus flow capacity. On the ,same graph, as
shown in a dashed line, is the performance of the stanabout 100%.- 'Consequently, the pressure at shut-off is about four times higher for the standard blower than for the slotted blade blower. In most applications, little use can be' made: of the high shut-oifpressure of the standard blower and the high pressure at shut-off is not required. On the otherhand, the high pressure at shutoff is responsible for the'high airborne noise level. FIG- URE' 13' also indicates about .the sarne characteristics in efliciency" for both blowers.
FIGURE 14 shows the corresponding performance for URE 15.
' directions, to equalize the pressure.
the same two blowers in terms of horsepower and air borne noise level as function of flow capacity. It is noted that the noise level of the slotted blade blower at Zero capacity C is higher than at the point of maximum eificiency A' However, the noise level at zero capacity C is considerably lower than for the standard blower, point C It should be noted that the horsepower requirement of the slotted blade blower at shut-off, point C',,, i about one-half the horsepower requirement of the slotted blade blower at the design point A',,. Correspondingly, for the standard blower, the horsepower requirement at shut-off point C is about 50% higher than at the design point A,,. The driving horsepower required at design point is higher for the standard blower than for the slotted blade blower due to the higher efficiency of the slotted blade blower. The performance curves indicate that the horsepower requirement for the standard blower at shut-off, point C is about four times as high as for the slotted blade blower point C',,. Therefore, the structure-borne noise, which varies under otherwise equivalent conditions as a function of the horsepower, as previously pointed out, is considerably less for the blower with slotted blades in the vicinity of shut-off and at low capacity.
It can be stated that for the standard blower the following relationship generally exists between the point of zero flow capacity and design point in regard to pressure and the horsepower characteristics:
Pc Pa for pressure and/or Nc Na for horsepower The blower with slotted blades changes the performance characteristics so that the following relationship exists between zero flow capacity and design point in regard to pressure and horsepower characteristics:
Pc' Pa' for pressure and/or Nc' Na' for horsepower This change in characteristics, in turn, is responsible for the lower airborne and structureborne noise of the slotted blade blower.
The substantial improvement in the noise characteristics and power requirements is related to the change in the flow pattern caused by a slot designed in accordance with this portion of the invention. When a blower with standard non-slotted blades is operated at low flow capacity, i.e., between the design operating condition and shutoff, radial components of flow are established which change the fiow from two dimensional to three dimensional. A specific condition of flow with respect to a non-slotted blade at shut-off is qualitatively shown in H6- As illustrated, a radial flow component is formed in the region of the central chord portion of the non-slotted blade, with flow vertexes formed on each side of this radial flow component. Such radial flow components are responsible for the substantial pressure increase at low flow capacity, and the pressure increase causes the high noise level and the increased driving horsepower requirement. installation of a properly designed slot, extended radially from hub to tip, located approximately at the mid-point of the airfoil eliminates or substantially reduces the radial flow component by permitting the pressure difference between the upper and lower surfaces of the blade to equalize at the slot. The equalizing flow is illustrated in FIGURES l6 and 17 which show a slotted blade, according to the present invention, being operated at shut-off. With the slotted blade, the higher pressure fluid at the lower surface flows through the slot to the reduced pressure on the upper surface, traveling in both The flow is still three dimensional, as shown in FIGURE 16, but inasjmuch as the slot is radial, the radial flow component responsible for the pressure increase is substantially reduced. Thus, slotted blades according to the present invention create new, desirable blower characteristics, namely, low pressure and horsepower at shut-01f, heretofore not possible with axial flow blowers.
With respect to reducing noise level and horsepower requirements, it has been found by test that slots can have the same gap or slot width derived previously, and the range of slot location can extend between forty percent and seventy-five percent of the total blade chord, with the requirement that the slot must extend in a substantially radial direction for any particular blade design. If, however, the lowest airborne noise levels and power requirements are desired, then laminar flow blades with approximately 50% or more laminar boundary layer should be used and the slot and blade should be dimensioned and located as previously defined.
While the slots may generally have a slot width as previously determined and be located in from forty to seventy-live percent of the total blade chord from the leading edge of the blade, for the greatest efiiciency in noise reduction the size and location of the slot should be in a more limited range. The width of the slot should be from two percent to four percent of the total blade chord and should be located in the area from fifty-five percent to seventy percent from the leading edge. If the slot is less than two percent of the chord there is no substantial increase in eificiency over a non-slotted blade, and if it is over six percent of the chord, the effect is substantially that of two adjacent non-slotted blades.
The present invention may be applied to blowers having an impeller only and no guide vanes. In addition, it may be applied to blowers with guide vanes, either upstream or downstream of the impeller. These guide vanes may be either of the slotted or the solid type. The specially designed slot in the impeller blades alone will result in desirable change in pressure, power and noise characteristics. However, slots in both the guide and impeller vanes will further increase these desirable changes.
The specific embodiment of blades which has been shown and described is to be understood to be illustrative only. Variations and modifications may be effected without departing from the scope of the novel concepts of the present invention.
1 claim:
1. In a blower or pump or the like of the axial flow turbo-machine type, a blade having a cross-sectional profile of the non-laminar airfoil type, said blade having a lower pressure surf-ace and an upper suction surface, a slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit in said upper surface and disposed generally longitudinally of the blade in substantially a radial direction, said upper surface having a predetermined point of minimum static pressure thereon at the design operating condition of the blade, said upper surface having an area of maximum static increase thereon downstream of said point of minimum static pressure at the design operating condition of the blade, said slot having its exit in said upper surface located at a distance within the range of 5% to 7% of the total blade chord downstream from the start of said area of maximum static pressure increase following said point of minimum static pressure at the design operating condition of the blade, and said slot having a width at its narrowest point within the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on said upper surface at the design operating condition of the blade, whereby fluid is ejected from the slot exit in a downstream direction to cooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction.
2. In a blower or pump or the like of the axial flow turbo-machine type, a blade having a cross sectional profile of the non-laminar airfoil type, said blade having a lower pressure surface and an upper suction'surface, a
slot extending through said blade from said lower surface generally in the downstream direction of the blade chord the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on said upper surface at the design operating condition of the blade, whereby fluid is ejected from the slot exit in a downstream direction to cooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction.
3. In a blower or pump or the like of the axial flow turbo-machine type, a blade having a cross-sectional profile of the non-laminar airfoil type, said blade having a lower pressure surface and an upper suction surface and including a forward airfoil portion and arearward airfoilportion, the forward airfoil portion trailing edge section overlapping therearward airfoil portion leading edge section to form a slot, said slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit on said upper surface and disposed longitudinally of the blade in substantially a radial direction, said upper surface having a predetermined point of minimum static pressure thereon at the design operating condition of the blade, said upper surface having'an area of maximum static pressure increase thereon downstream of said point of minimum static pressure at the design operating condition of the blade, said slot having its exit 1n said upper surface at .a position located within the range 7 Q of 5% to 7% of the total airfoil chord downstream from the start of said area of maximum static pressure increase following said point of minimum static pressure at the design operating conditionof the blade, said slot having a width at its narrowest point within the range of two times-to 2.66 times the thickness of the boundary layer at the location of the slot exit on said. upper surface at the design, operating condition of the blade, the overlap of said airfoil portions measured along the airfoil chord being within the range of 0.5% to 5% of the total-airfoil chord, "whereby fluid is ejected from said slot exit in a downstream direction tocooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction.
. 4. In a blower or pump or the like of the axial flow turbo-machine type, a blade having a cross-sectional profile of the non-laminar airfoil type, said blade. having a lower pressure surface and an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing 'edge section overlapping the rearward airfoil portion leading edge section to form a slot, said slot extending through said blade from said lower surface generally in thedownstream' direction of the blade chordto an exit on said upper-surface and disposed longitudinally of the blade in substantially a radial direction, said upper surface having a predetermined point of minimum static pressure thereon at the design operating condition of the blade, said upper surface having anarea of maximumstatic pressure in- "between said airfoil portions'vbeing within the range of one time to 1.66 times the thickness of the boundary layer on the upper surface of, the trailing edge section of the forward airfoil portion plus the thickness of the boundary layer on the lower surface of the trailing edge section of the forward airfoil portion plus the thickness of the boundary layer on the upper surface of the rearward airfoil portion at theslot exit 'where the thicknesses of said 5. In a blower or pump or the like of the axialflow.
turbo-machine type, a blade having a cross-sectional profile of the non-laminar airfoil type, said blade having a lower pressure surface and an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing edge section overlapping the rearward airfoil portion leading section to form a slot, said slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an ex-iton said upper surface and disposed longitudinally of the blade in substantially a radial direction, a point of first and a point of second maximum frictional intensity on said upper'surface at the design operating condition of the blade, said slot having its exit in said upper surface at a position located a short distance downstream of said second maximum of frictional intensity at the design operating condition of the blade, said slot having a width at its narrowest point within the range of one time to 1.66 times the thickness of the boundary layer on said upper surface of the trailing edge section of the forward airfoil portion plus the thickness of the boundary layer on the lower surface of the trailing edge section of the forward airfoil portion plus the thickness of the boundary layer on the upper surface of the rearward airfoil portion at-the slot exit where the thicknesses of said boundary layers are taken at the design operating condition of the blade, whereby fluid is ejected from said slot exit in a downstream direction to cooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction.
6. In a blower or pump or the like of the axial flow turbo-machine type, a blade having a cross-sectional profile of the non-laminar airfoil type, said blade having a lower pressure surface and an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing edge section ovelapping the rearward, airfoil portion leading section to form a slot, said slot extending through said blade from said lower surface generally in the downstream 7 direction of the blade chord to an exit on said upper surface and disposed longitudinally of the blade in substant1al1y a radial direction, a point offirst and a point of second maximum frictional intensity on saidv upper surmum ofjfrictional intensity at the design operating condicrease thereon downstream of said point of minimum static located at a distance within the range of 5% to7% of the total airfoil chord downstream from the start of the area of maximum static pressure increase following said point of minimum static pressure at the design operating condition of the blade, the width of said slot at the narrowest point tion of the blade, said slot having a width at its narrowest point within the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on said upper surface at the design operating condition of the blade, the overlap of said airfoil portions measured along the blade chord being within the range of 0.5 to 5% of the total blade chord, whereby fluid is ejected from said slot exit in a downstream direction to cooperate with the fluid passing oversaid upper surface and energize the boundary layer passing'thereover in a downstream direction. p
7.In apump or blower or the like of the axial flow turbo-machine type including a generally tubularhousing having. a'rotor rotatably mounted therein with a plurality 21 of circumferentially fixed blades on said rotor and with each of said blades having a cross-sectional profile of the non-laminar airfoil type, the improvement comprising: a lower pressure surface and an upper suction surface on each blade, a slot extending through each blade from said lower surface generally in the downstream direction of the blade chord to an exit in said upper surface and disposed generally longitudinally of the blade in substantially a radial direction, said upper surface having a predetermined point of minimum static pressure thereon at the design operating condition of the turbo-machine and an area of maximum static pressure increase thereon downstream of said point of minimum static pressure at the design operating condition of the turbo-machine, said slot having its exit in said upper surface at a position 10- catcd at a distance within the range of to 7% of the total blade chord downstream from the start of the area of maximum static pressure increase following said point of minimum static pressure at the design operating condition of the turbo-machine, said slot also being located within the range from 55% to 70% of the total blade chord, said slot having a width at its narrowest point within the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on the upper surface of the blade at the design operating condition of the turbo-machine, and the width of said slot also being within the range or" 2% to 4% of the total blade chord, whereby fluid is ejected from said slot exit in a downstream direction to cooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction and the pressure output of the turbo-machine at the air flow shut-off condition is smaller than the pressure output at the design operating condition.
8. In a blower or pump of the axial flow turbo-machine type, a blade having a cross-sectional profile of the nonlaminar airfoil type, said blade having a lower pressure surface and an upper suction surface, a slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit in said upper surface and disposed generally longitudinally of the blade in substantially a radial direction, a point of first and a point of second maximum of frictional intensity on said upper surface at the design operating condition of the blade, said slot having its exit in the upper surface at a position located a short distance downstream of said second maximum of frictional intensity at the design operating condition of the blade, said slot exit also being located within a range between 55% and 70% of the total blade chord, said slot having a width at its narrowest point within the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on said upper surface at the design operating condition of the blade, said slot also having a width within the range of from 2% to 4% of the total blade chord, whereby fluid is ejected from said slot exit in a downstream direction to cooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction and the pressure output of the turbo-machine at the air flow shut-otf condition is maller than the pressure output of the turbomachine at the design operating condition.
9. In a blower or pump or the like of the axial flow turbo-machine type, a blade having a cross-sectional profile of the airfoil type, said blade having a lower pressure surface and an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing edge section ovenlapping the rearward airfoil portion leading edge section to form a slot, said slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit on said upper surface and disposed longitudinally of the blade in substantially a radial direction, the width of said slot at its narrowest point between said airfoil portions being within the range of two times to 2.66 times the thickness of the boundary layer on the upper surface of the trailing edge section of the forward airfoil portion at the design operating condition of the blade, the angle made by the lower surface of the forward airfoil portion trailing edge section and the chord of said forward airfoil portion being greater than the angle formed by the tangent to the upper surface of the rearward airfoil portion at the endof said overlap and the chord of said forward airfoil portion, and with the overlap of said airfoil portions measured along the total blade chord being within the range of 0.5% to 5% of the total blade chord, whereby fluid is ejected from said slot exit in a downstream direction to cooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction.
10. In a blower or pump or the like of the axial flow turbo-machine type, a blade having a cross-sectional profile of the airfoil type, said blade having a lower pressure surface, an upper suction surface and including a forward airfoil portion and a rearward airfoil portion, the forward airfoil portion trailing edge section overlapping the rearward airfoil portion leading edge section to form a slot, said slot extending through said blade from said lower surface generally in the downstream direction of the blade chord to an exit on said upper surface and disposed longitudinally of the blade in substantially a radial direction, a point of first maximum of frictional intensity and a point of second maximum of frictional intensity on said upper surface at the design operating condition of the blade, said slot having its exit in said upper surface at a position located a short distance downstream of said second maximum of frictional intensity at the design operat ing condition of the blade, the width of said slot at its narrowest point between said airfoil portions being within the range of one time to 1.66 times the thickness of the boundary layer on the upper surface of the trailing edge section of the forward airfoil portion, plus the thickness of the boundary layer on the lower surface of the trailing edge section of the forward airfoil portion plus the thickness of the boundary layer on the upper surface of the rearward airfoil portion at the slot exit where the thickness of the boundary layers are taken at the design operating condition of the blade, and the overlap of said airfoil portions measured along the blade chord being within the range of 0.5% to 5.0% of the total blade chord, whereby fluid is ejected from said slot exit in a downstream direction to cooperate with fluid passing over said upper surface and energize the boundary layer passing thereover in a downstream direction.
11. In a pump or blower or the like of the axial flow turbo-machine type including a generally tubular housing having a rotor rotatably mounted therein with a plurality of circumferentially fixed blades on said rotor and with each of said blades having a cross-sectional profile of the airfoil type, the improvement comprising: a lower pressure surface and an upper suction surface on each blade, a slot extending through each blade from said lower surface generally in the downstream direction of the blade chord to an exit in said upper surface and disposed generally longitudinally of the blade in substantially a radial direction, a point of first maximum of frictional intensity and a point of second maximum of frictional intensity on the upper surface of each blade at the design operating condition of the blade, each slot having its exit in the upper surface of the corresponding blade at a position located a short distance downstream of said second maximum of frictional intensity at the design operating condition of the blade, each slot having a width at its narrowest point within the range of two times to 2.66 times the thickness of the boundary layer at the location of the slot exit on said upper surface at the design operating condition of the turbo-machine, the width of said slot at its narrowest point also being within the range of 2% to 4% of the total blade chord, the length of said slot mea- V 3195,30? V 23 i 24 sured along said blade chord being within the'ran ge of 2,160,323 7 5/39 'Barnett 230-122 0.5 to 5 .0% of the total blade chord, and said slot being 2,314,572 3 /43 chit 230 122 located within" thera'nge of 55% to 70% of the total 2,403,788 10/46 Ludington blade ehord, wherehy fluid is ejected from said slot exit 2 489 683 11/49 Stalker e 230 122 in a downstream direction to cooperate with fluid passing 5 2637487 5/53, Saw er i 'over said upper surface and energize the boundary vlayer passing thereoverin a downstream direction, and the a pressure output of the turbo-machine at the air flow shut- V FOREIGN PATENTS ofi'conditionis smaller than the pressure output at the 390,486 2/24 Germanydesign operating condition. 10 459,204 4/28 Germany.
Referemersrcted byfle Exarmnrer JOSEPH H. BRANSON, I Primary Examiner.
' UNITED STATES PATENTS 1,744,709 '1/30 Moody 230 122 HENRY RADUAZOQExaminer-

Claims (1)

1. IN A BLOWER OR PUMP OR THE LIKE OF THE AXIAL FLOW TURBO-MACHINE TYPE, A BLADE HAVING A CROSS-SECTIONAL PROFILE OF THE NON-LAMINAR AIRFOIL TYPE, SAID BLADE HAVING A LOWER PRESSURE SURFACE AND AN UPPER SUCTION SURFACE, A SLOT EXTENDING THROUGH SAID BLADE FROM SAID LOWER SURFACE GENERALLY IN THE DOWNSTREAM DIRECTION OF THE BLADE CHORD TO AN EXIT IN SAID UPPER SURFACE AND DISPOSED GENERALLY LONGITUDINALLY OF THE BLADE IN SUBSTANTIALLY A RADIAL DIRECTION, SAID UPPER SURFACE HAVING A PREDETERMINED POINT OF MINIMUM STATIC PRESSURE THEREON AT THE DESIGN OPRATING CONDITION OF THE BLADE, SAID UPPE SURFACE HAVING AN AREA OF MAXIMUM STATIC INCREASE THEREON DOWNSTREAM OF SAID POINT OF MINIMUM STATIC PRESSURE AT THE DESIGN OPERATING CONDITION OF THE BLADE, SAID SLOT HAVING ITS EXIT IN SAID UPPER SURFACE LOCATED AT A DISTANCE WITHIN THE RANGE OF 5% TO 7% OF THE TOTAL BLADE CHORD DOWNSTREAM FROM THE START OF SAID AREA OF MAXIMUM STATIC PRESSURE INCREASE FOLLOWING SAID POINT OF MANIMUM STATIC PRESSURE AT THE DESIGN OPERATING CNDITION OF THE BLADE, AND SAID SLOT HAVING A WIDTH AT ITS NARROWEST POINT WITHIN THE RANGE OF TWO TIMES TO 2.66 TIMES THE THICKNESS OF THE BOUNDARY LAYER AT THE LOCATION OF THE SLOT EXIT ON SAID UPPER SURFACE AT THE DESIGN OPERATING CONDITION OF THE BLADE, WHEREBY FLUID IS EJECTED FROM THE SLOT EXIT IN A DOWNSTREAM DIRECTION TO COOPERATE WITH FLUID PASSING OVER SAID UPPER SURFACE AND ENERGIZE THE BOUNDARY LAYER PASSING THEREOVER IN A DOWNSTREAM DIRECTION.
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US4981414A (en) * 1988-05-27 1991-01-01 Sheets Herman E Method and apparatus for producing fluid pressure and controlling boundary layer
US5152661A (en) * 1988-05-27 1992-10-06 Sheets Herman E Method and apparatus for producing fluid pressure and controlling boundary layer
EP0823540A2 (en) * 1996-08-09 1998-02-11 Kawasaki Jukogyo Kabushiki Kaisha Cascade with a tandem blade lattice
US6250797B1 (en) 1998-10-01 2001-06-26 General Signal Corporation Mixing impeller system having blades with slots extending essentially all the way between tip and hub ends thereof which facilitate mass transfer
US20060088428A1 (en) * 2004-09-30 2006-04-27 Chellappa Balan High performance cooling fan
US20100158684A1 (en) * 2006-11-14 2010-06-24 Baralon Stephane Vane assembly configured for turning a flow in a gas turbine engine, a stator component comprising the vane assembly, a gas turbine and an aircraft jet engine
US20120138058A1 (en) * 2009-08-11 2012-06-07 Timothy Tsun-Fai Fu Single stage, axial symmetric blower and portable ventilator
US20120148396A1 (en) * 2010-12-08 2012-06-14 Rolls-Royce Deutschland Ltd & Co Kg Fluid-flow machine - blade with hybrid profile configuration
EP2626515A1 (en) * 2012-02-10 2013-08-14 MTU Aero Engines GmbH Tandem blade group assembly
US20150152879A1 (en) * 2013-11-29 2015-06-04 Applied Thermal/Fluid Analysis Center Limited Liability Company Blade structure of axial fan
US20150292333A1 (en) * 2012-11-26 2015-10-15 Borgwarner Inc. Compressor wheel of a radial compressor of an exhaust-gas turbocharger
US20160138601A1 (en) * 2013-05-14 2016-05-19 Cofimco S.R.L. Axial fan
US20180274368A1 (en) * 2017-03-27 2018-09-27 United Technologies Corporation Turbine blade with tip vortex control and tip shelf
USD854143S1 (en) * 2017-12-06 2019-07-16 Vincent Yu Cooling fan
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US11208897B2 (en) * 2018-08-02 2021-12-28 Acer Incorporated Heat dissipation fan
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Cited By (33)

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FR2574113A1 (en) * 1984-12-05 1986-06-06 Lejeloux Patrick Helical rotating machine rotor
US4981414A (en) * 1988-05-27 1991-01-01 Sheets Herman E Method and apparatus for producing fluid pressure and controlling boundary layer
US5152661A (en) * 1988-05-27 1992-10-06 Sheets Herman E Method and apparatus for producing fluid pressure and controlling boundary layer
EP0823540A2 (en) * 1996-08-09 1998-02-11 Kawasaki Jukogyo Kabushiki Kaisha Cascade with a tandem blade lattice
EP0823540A3 (en) * 1996-08-09 1999-07-28 Kawasaki Jukogyo Kabushiki Kaisha Cascade with a tandem blade lattice
US6099249A (en) * 1996-08-09 2000-08-08 Kawasaki Jukogyo Kabushiki Structure of output section of jet propulsion engine or gas turbine
US6250797B1 (en) 1998-10-01 2001-06-26 General Signal Corporation Mixing impeller system having blades with slots extending essentially all the way between tip and hub ends thereof which facilitate mass transfer
US20060088428A1 (en) * 2004-09-30 2006-04-27 Chellappa Balan High performance cooling fan
US7168918B2 (en) * 2004-09-30 2007-01-30 General Electric Company High performance cooling fan
US20100158684A1 (en) * 2006-11-14 2010-06-24 Baralon Stephane Vane assembly configured for turning a flow in a gas turbine engine, a stator component comprising the vane assembly, a gas turbine and an aircraft jet engine
US20120138058A1 (en) * 2009-08-11 2012-06-07 Timothy Tsun-Fai Fu Single stage, axial symmetric blower and portable ventilator
US10874810B2 (en) 2009-08-11 2020-12-29 Resmed Motor Technologies Inc. Single stage, axial symmetric blower and portable ventilator
US9861774B2 (en) * 2009-08-11 2018-01-09 Resmed Motor Technologies Inc. Single stage, axial symmetric blower and portable ventilator
US9394794B2 (en) * 2010-12-08 2016-07-19 Rolls-Royce Deutschland Ltd & Co Kg Fluid-flow machine—blade with hybrid profile configuration
US20120148396A1 (en) * 2010-12-08 2012-06-14 Rolls-Royce Deutschland Ltd & Co Kg Fluid-flow machine - blade with hybrid profile configuration
EP2626515A1 (en) * 2012-02-10 2013-08-14 MTU Aero Engines GmbH Tandem blade group assembly
US9470091B2 (en) 2012-02-10 2016-10-18 Mtu Aero Engines Gmbh Blade group arrangement as well as turbomachine
US10119402B2 (en) * 2012-11-26 2018-11-06 Borgwarner Inc. Compressor wheel of a radial compressor of an exhaust-gas turbocharger
US20150292333A1 (en) * 2012-11-26 2015-10-15 Borgwarner Inc. Compressor wheel of a radial compressor of an exhaust-gas turbocharger
US20160138601A1 (en) * 2013-05-14 2016-05-19 Cofimco S.R.L. Axial fan
US10036392B2 (en) * 2013-05-14 2018-07-31 Cofimco S.R.L. Axial fan for industrial use
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