CN105156360B - A kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method - Google Patents
A kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method Download PDFInfo
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Abstract
The invention belongs to fluid machinery design field, a kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method is disclosed, is mainly used in calculating weighted average efficiency highest or the minimum centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet laying angle of weighted average power under multiple operating modes.Specially：Measure the flow of centrifugal multistage pump multiple centrifugal pump, lift, power and efficiency under each operating mode；The iterative mathematical model of flow channel type guide blade vane inlet laying angle is solved using iterative algorithm, one group of disaggregation of exit port laying angle is solved；Whole flow field numerical computations are carried out to centrifugal multistage pump multiple centrifugal pump interior flow field under multiple operating modes respectively using CFD technologies, the optimum value of vane inlet laying angle is obtained.The centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet laying angle that the present invention is designed is more accurate than the import laying angle of single operating condition design, the weighted average efficiency of the multiple operating modes of centrifugal multistage pump multiple centrifugal pump is not only increased, the also multi-point optimization for multistage centrifugal impeller of pump and other geometric parameters of stator provides reference.
Description
Technical field
The invention belongs to fluid machinery design field, refer in particular to be related to a kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state waterpower
Optimization method.
Background technology
It is connected between centrifugal multistage pump multiple centrifugal pump both stage impellers by stator, when carrying out the Hydraulic Design to stator blade, especially
The later stage draw outer wall motion pattern when, often occur mutation or be that angle change is uneven, at this moment just must be by repairing
Change stator vane inlet laying angle, stator blade exit laying angle, cornerite to reach the requirement of angle smooth variation.For runner
For formula stator, rational stator vane inlet laying angle can be such that stator is matched completely with upper level impeller, and then cause fluid
Hydraulic loss is minimized in the transition of impeller and flow channel type guide blade.Flow channel type guide blade vane inlet laying angle is set at present
Meter often determines fluid flow angle according to impeller outlet, the angle of attack is chosen further according to experience, so as to calculate flow channel type guide blade vane inlet
Laying angle.This design method is the either simplex condition design method based on experience, and sense datum is on the high side, and the theory without science
Support is used as with mathematical modeling.This requires to carry out multi-state Hydraulic Optimizing Design to centrifugal multistage pump multiple centrifugal pump flow channel type guide blade.
So far, there is not yet the open report of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method.
The content of the invention
It is an object of the invention to provide a kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method, by using
External characteristics experiment, iterative algorithm and CFD technologies obtain weighted average efficiency highest under multiple operating modes, and (or weighted average power is most
It is low) centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet laying angle optimum value.
To achieve the above objectives, adopt the following technical scheme that：
Using iterative algorithm to flow channel type guide blade vane inlet laying angle α1Iterative mathematical model solved, solve
Flow channel type guide blade vane inlet laying angle α1One group of disaggregation, then weighted average efficiency under multiple operating modes is obtained using CFD technologies
Highest or the minimum centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet laying angle α of weighted average power1Optimum value.
It is comprised the following steps that：
(1) flow, lift, the work(of centrifugal multistage pump multiple centrifugal pump under centrifugal multistage pump multiple centrifugal pump external characteristics experimental bench, measuring and design operating mode are built
Rate and efficiency.
Centrifugal multistage pump multiple centrifugal pump is designed using either simplex condition (i.e. design conditions) design method；Centrifugal multistage pump multiple centrifugal pump is processed, and
Build centrifugal multistage pump multiple centrifugal pump external characteristics testing stand；Flow, lift, work(under the multistage centrifugal pump design operating mode of the single operating condition design of measurement
Rate and efficiency.
Flow Q under the multistage centrifugal pump design operating mode of single operating condition designdFlow in pump discharge pipe-line system
Measurement is measured, its lift HdObtained by the pressure sensor measurement of pump import and export, its power PdObtained by electrical measuring method measurement, its
Efficiency etadBy formula ηd=ρ gQdHd/PdCalculating is obtained, and wherein ρ is the density of centrifugal multistage pump multiple centrifugal pump pumped (conveying) medium, and g accelerates for gravity
Degree, g=9.8.
(2) using iterative algorithm to flow channel type guide blade vane inlet laying angle α1Iterative mathematical model solved, solve
Go out flow channel type guide blade vane inlet laying angle α1Disaggregation group, disaggregation group is one group of scope rather than some concrete numerical value.
According to centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet excretion coefficient Ψ1Water is crossed with flow channel type guide blade vane inlet to break
Face area F1Set up centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet axis plane velocity v under design conditionsm1；
F1=2 π Rcb (2)
Wherein z is the number of blade of flow channel type guide blade, S1For flow channel type guide blade vane inlet actual (real) thickness, D1Led for flow channel type
Leaf inlet diameter, RcFor the radius of the cross-section of river at flow channel type guide blade import, b is flow channel type guide blade vane inlet width.
According to speed theorem of moments, the centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet peripheral compoent of velocity under design conditions is set up
vu1；
Wherein n is the rotating speed of centrifugal multistage pump multiple centrifugal pump, R1For flow channel type guide blade inlet radius.
Set up centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet laying angle α under design conditions1Iterative mathematical model：
Wherein Δ α1For the design conditions lower flow channel formula stator vane inlet angle of attack, Δ α1=0~8 °.
With centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet laying angle α1For iteration variable, with single operating condition design it is multistage from
Heart pump flow channel type guide blade vane inlet laying angle α1Design load be initial value, flow channel type guide blade blade is entered using iterative algorithm
Mouth laying angle α1Iterative mathematical model solved, if the front and rear solution tried to achieve twice be less than convergence precision δ, meet convergence essence
Degree is required；Otherwise iterate to calculate again.By iterating, the flow channel type guide blade vane inlet peace for meeting convergence precision can be obtained
Put angle.
Convergence precision δ=3 °.
(3) whole flow field numerical computations are carried out to centrifugal multistage pump multiple centrifugal pump interior flow field under multiple operating modes respectively using CFD technologies, obtained
Weighted average efficiency highest or the minimum flow channel type guide blade vane inlet laying angle α of weighted average power under to multiple operating modes1's
Optimum value.
First, disaggregation group step (2) obtained, according to multistage centrifugal pump lift under design conditions, power and efficiency
Experiment value, finds out turbulence model minimum with experiment value error in centrifugal multistage pump multiple centrifugal pump numerical computations；
Then centrifugal multistage pump multiple centrifugal pump interior flow field is flowed entirely under each scheme of the disaggregation group obtained respectively to iteration optimization
Flow Field Numerical is calculated, and calculates the efficiency value of centrifugal multistage pump multiple centrifugal pump, performance number under multiple operating modes.
Finally calculate the weighted average efficiency value of multiple operating modes and weighting under disaggregation group each scheme that iteration optimization is obtained
Average power content, finds out the centrifugal multistage pump multiple centrifugal pump runner of weighted average efficiency highest under multiple operating modes (or weighted average power is minimum)
Formula stator vane inlet laying angle α1, the weight factor wherein under each operating mode determines by super-transitive approximate method.
The iterative algorithm is Newton iterative, least square method, simulated annealing, or genetic algorithm.
The advantage of the invention is that：
(1) the centrifugal multistage pump multiple centrifugal pump stream of weighted average efficiency highest under multiple operating modes (or weighted average power is minimum) has been obtained
The optimum value of road formula stator vane inlet laying angle, the flow channel type guide blade vane inlet laying angle than single operating condition design is more defined
Really.
(2) external characteristics experiment is combined with iterative algorithm, CFD technologies, establishes a kind of centrifugal multistage pump multiple centrifugal pump flow channel type and lead
Leaf multi-state hydraulic optimization method, the weighted average efficiency for improving the multiple operating modes of centrifugal multistage pump multiple centrifugal pump (or reduces multistage centrifugal
The weighted average power of the multiple operating modes of pump), save financial cost.
(3) multi-point optimization for multistage centrifugal impeller of pump and other geometric parameters of flow channel type guide blade provides reference.
Brief description of the drawings
A kind of flow charts of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method of Fig. 1；
The water body three-dimensional modeling of three-level centrifugal pump first stage impeller in Fig. 2 embodiments；
The water body three-dimensional modeling of three-level centrifugal pump chopped-off head flow channel type guide blade in Fig. 3 embodiments.
Embodiment
Below in conjunction with the accompanying drawings and specific embodiment the present invention is further illustrated, but protection scope of the present invention is simultaneously
Not limited to this.
Embodiment：
One specific revolution is 154 three-level centrifugal pump, and its design discharge is Qd=850m3/ h, Hd=131m, n=1475r/
min。
(1) build the flow of three-level centrifugal pump under the three-level centrifugal pump external characteristics experimental bench, measuring and design operating mode, lift,
Power and efficiency.
The three-level centrifugal pump is designed using either simplex condition (i.e. design conditions) design method.Three-level centrifugal pump is processed,
And build three-level centrifugal pump external characteristics testing stand.The flow of three-level centrifugal pump, lift, power and efficiency under measuring and design operating mode.
The flow Q of three-level centrifugal pump under design conditionsdTurbine flowmeter measurement in pump discharge pipe-line system is obtained, its lift HdBy
The pressure sensor measurement of pump import and export is obtained, its power PdObtained by electrical measuring method measurement, its efficiency etadBy formula ηd=ρ
gQdHd/PdCalculating is obtained, and wherein ρ is the density of water；G is acceleration of gravity, g=9.8.
Design conditions Qd=850m3Under/h, three-level centrifugal pump external characteristics result of the test is：Lift Hd=138.7m, power Pd
=461kW, efficiency etad=69.5%.
(2) using Newton iteration method to flow channel type guide blade vane inlet laying angle α1Iterative mathematical model solved,
Solve flow channel type guide blade vane inlet laying angle α1One group of disaggregation.
According to three-level centrifugal pump flow channel type guide blade vane inlet excretion coefficientAnd flow channel type guide blade
Vane inlet discharge section area F1=2 π RcB, sets up three-level centrifugal pump flow channel type guide blade vane inlet axial plane speed under design conditions
Spend vm1Calculation formulaWherein z is the number of blade of flow channel type guide blade, S1It is actual for flow channel type guide blade vane inlet
Thickness, D1For flow channel type guide blade inlet diameter, RcFor the radius of the cross-section of river at flow channel type guide blade import, b is flow channel type guide blade leaf
Piece entrance width.
According to speed theorem of moments, three-level centrifugal pump flow channel type guide blade vane inlet peripheral compoent of velocity v under design conditions is set upu1
Calculation formulaWherein n is the rotating speed of centrifugal multistage pump multiple centrifugal pump, R1For flow channel type guide blade inlet radius.
Set up three-level centrifugal pump flow channel type guide blade vane inlet laying angle α under design conditions1Iterative mathematical model Wherein Δ α1For design conditions lower flow channel formula
The stator vane inlet angle of attack, chooses Δ α1=4 °.
With three-level centrifugal pump flow channel type guide blade vane inlet laying angle α1For iteration variable, with the three-level of single operating condition design from
Heart pump flow channel type guide blade vane inlet laying angle α1=15 ° are initial value, and flow channel type guide blade blade is entered using Newton iteration method
Mouth laying angle α1Iterative mathematical model solved, if the front and rear solution tried to achieve twice be less than δ (δ=3 °) if meet convergence precision
It is required that, otherwise iterate to calculate again.By iterating, the flow channel type guide blade vane inlet laying angle for meeting convergence precision is obtained
α1=13~16 °.
(3) whole flow field numerical computations are carried out to three-level centrifugal pump interior flow field under three operating modes respectively using CFD technologies, obtained
Weighted average efficiency highest flow channel type guide blade vane inlet laying angle α under to three operating modes1Optimum value.
The water body threedimensional model of three-level centrifugal pump first stage impeller and chopped-off head flow channel type guide blade is as shown in Figures 2 and 3.According to setting
The experiment value of three-level centrifugal pump lift, power and efficiency under operating mode is counted, is standard k- ε with the minimum turbulence model of experiment value error
Model.
Three-level centrifugal pump interior flow field carries out whole flow field numerical computations, meter under each scheme obtained respectively to iteration optimization
Calculate 0.6Qd、Qd、1.2QdThe efficiency value of three-level centrifugal pump under three operating modes.
The weighted average efficiency value for lower three operating modes of each scheme that iteration optimization is obtained is calculated, finds out and adds under three operating modes
Weight average efficiency highest three-level centrifugal pump flow channel type guide blade vane inlet laying angle α1=13.4 °, now, imitated under three operating modes
Rate value is respectively 56.3%, 70.1%, 71.2%, and the weighted average efficiency of three operating modes is 66.8%, wherein near by super transmission
It is respectively 0.26,0.43,0.31 like the weight factor under three operating modes that method is determined.
For the present invention preferred embodiment, but the present invention is not limited to above-mentioned embodiment to the embodiment, not
In the case of the substantive content of the present invention, any conspicuously improved, replacement that those skilled in the art can make
Or modification belongs to protection scope of the present invention.
Claims (5)
1. a kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method, it is characterised in that：Include step in detail below：
(1) the flow Q of centrifugal multistage pump multiple centrifugal pump under centrifugal multistage pump multiple centrifugal pump external characteristics experimental bench, measuring and design operating mode is builtd, lift Hd, power
And efficiency；
(2) using iterative algorithm to flow channel type guide blade vane inlet laying angle α1Iterative mathematical model solved, solve runner
Formula stator vane inlet laying angle α1Disaggregation group；It is comprised the following steps that：
(A) according to centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet excretion coefficient Ψ1With the flow channel type guide blade vane inlet cross-section of river
Area F1, set up centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet axis plane velocity v under design conditionsm1；
F1=2 π Rcb (2)
Wherein z is the number of blade of flow channel type guide blade, S1For flow channel type guide blade vane inlet actual (real) thickness, D1Enter for flow channel type guide blade
Mouth diameter, RcFor the radius of the cross-section of river at flow channel type guide blade import, b is flow channel type guide blade vane inlet width；
(B) according to speed theorem of moments, centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet peripheral compoent of velocity v under design conditions is set upu1；
Wherein n is the rotating speed of centrifugal multistage pump multiple centrifugal pump, R1For flow channel type guide blade inlet radius；
(C) centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet laying angle α under design conditions is set up1Iterative mathematical model：
Wherein Δ α1For the design conditions lower flow channel formula stator vane inlet angle of attack；
(D) with centrifugal multistage pump multiple centrifugal pump flow channel type guide blade vane inlet laying angle α1For iteration variable, with the multistage centrifugal of single operating condition design
Pump flow channel type guide blade vane inlet laying angle α1Design load be initial value, using iterative algorithm to flow channel type guide blade vane inlet
Laying angle α1Iterative mathematical model solved, if the front and rear solution tried to achieve twice be less than convergence precision δ, meet convergence precision
It is required that, otherwise iterate to calculate again；By iterating, the flow channel type guide blade vane inlet placement for meeting convergence precision can be obtained
Angle α1Disaggregation group；
The Δ α1=0~8 °, convergence precision δ=3 °；
(3) the disaggregation group for obtaining step (2), is entered to centrifugal multistage pump multiple centrifugal pump interior flow field under multiple operating modes respectively using CFD technologies
Row whole flow field numerical computations, obtain flow channel type guide blade vane inlet laying angle α1Optimum value.
2. a kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method according to claim 1, its feature exists
In：In the step (1), build the flow of centrifugal multistage pump multiple centrifugal pump under centrifugal multistage pump multiple centrifugal pump external characteristics experimental bench, measuring and design operating mode, raise
Journey, power and efficiency are comprised the following steps that：
(A) centrifugal multistage pump multiple centrifugal pump is designed using either simplex condition design method；
(B) centrifugal multistage pump multiple centrifugal pump is processed, and builds centrifugal multistage pump multiple centrifugal pump external characteristics testing stand；
(C) flow, lift, power and the efficiency under the multistage centrifugal pump design operating mode of single operating condition design are measured；The either simplex condition
Flow Q under the multistage centrifugal pump design operating mode of designdFlow measurement in pump discharge pipe-line system is measured, the lift
HdObtained by the pressure sensor measurement of pump import and export, the power PdObtained by electrical measuring method measurement, the efficiency etadBy formula
ηd=ρ gQdHd/PdCalculating is obtained, and wherein ρ is the density of centrifugal multistage pump multiple centrifugal pump pumped (conveying) medium, and g is acceleration of gravity, g=9.8.
3. a kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method according to claim 1, its feature exists
In：In the step (3), the use CFD technologies carry out whole flow field to centrifugal multistage pump multiple centrifugal pump interior flow field under multiple operating modes respectively
Numerical computations, obtain flow channel type guide blade vane inlet laying angle α1Optimum value, it is comprised the following steps that：
(A) the disaggregation group for obtaining step (2), according to lift under the multistage centrifugal pump design operating mode of single operating condition design, power and
The experiment value of efficiency, finds out turbulence model minimum with experiment value error in centrifugal multistage pump multiple centrifugal pump numerical computations；
(B) centrifugal multistage pump multiple centrifugal pump interior flow field carries out whole flow field numerical value under each scheme of the disaggregation group obtained respectively to iteration optimization
Calculate, calculate the efficiency value of centrifugal multistage pump multiple centrifugal pump, performance number under multiple operating modes；
(C) the weighted average efficiency value and weighted average of multiple operating modes under each scheme for the disaggregation group that iteration optimization is obtained are calculated
Performance number, calculates flow channel type guide blade vane inlet laying angle α1Optimum value, wherein the weight factor under each operating mode is by surpassing
Approximation method is transmitted to determine.
4. a kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method according to claim 1, its feature exists
In：The iterative algorithm is Newton iterative, least square method, simulated annealing, or genetic algorithm.
5. a kind of centrifugal multistage pump multiple centrifugal pump flow channel type guide blade multi-state hydraulic optimization method according to claim 1 or 4, its feature
It is：Flow channel type guide blade vane inlet laying angle α1 Optimum value refer to weighted average efficiency highest or weighting under multiple operating modes
Flow channel type guide blade vane inlet laying angle α when mean power is minimum1Value.
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| CN108708875B (en) * | 2018-05-03 | 2020-07-03 | 安徽工程大学 | Design method for centrifugal pump impeller blade placement angle |
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