CN107829784B - Vortex disk of vortex expander - Google Patents

Vortex disk of vortex expander Download PDF

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CN107829784B
CN107829784B CN201710826542.8A CN201710826542A CN107829784B CN 107829784 B CN107829784 B CN 107829784B CN 201710826542 A CN201710826542 A CN 201710826542A CN 107829784 B CN107829784 B CN 107829784B
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involute
point
arc
scroll
circular arc
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CN107829784A (en
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刘国平
郑坤
黎建芳
陈萍
胡诗峻
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Lattice Power Jiangxi Corp
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F01—MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
    • F01C—ROTARY-PISTON OR OSCILLATING-PISTON MACHINES OR ENGINES
    • F01C1/00—Rotary-piston machines or engines
    • F01C1/02—Rotary-piston machines or engines of arcuate-engagement type, i.e. with circular translatory movement of co-operating members, each member having the same number of teeth or tooth-equivalents
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F01—MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
    • F01C—ROTARY-PISTON OR OSCILLATING-PISTON MACHINES OR ENGINES
    • F01C21/00—Component parts, details or accessories not provided for in groups F01C1/00 - F01C20/00
    • F01C21/08—Rotary pistons

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  • General Engineering & Computer Science (AREA)
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Abstract

The invention provides a scroll plate of a scroll expander, wherein the starting end of the center of the scroll plate is an arc, the outer wall of the scroll plate is an involute which is tangent to the outer end point of the arc of the starting end of the center of the scroll plate and extends outwards, the inner wall of the scroll plate is a composite curve which is tangent to the inner end point of the arc of the starting end of the center of the scroll plate and extends outwards, and the composite curve is composed of a straight line segment IG, a first involute GH, a first arc HN, a second arc NM, a third arc MD and a second involute which are connected smoothly in sequence; the straight line section IG is a common tangent line connecting the circular arc CI and the first involute GH, and the tangent points are a point I and a point G; when the scroll plate works normally, the scroll molded line MNHGIC does not participate in the meshing of the scroll plate. The vortex plate of the vortex expander disclosed by the invention can reduce the time and the area of the air inlet hole which is shielded when the vortex plate rotates, thereby reducing the air inlet loss and greatly improving the pneumatic power conversion efficiency of the vortex expander.

Description

Vortex disk of vortex expander
Technical Field
The invention belongs to the technical field of scroll expanders, and particularly relates to a scroll plate of a scroll expander.
Background
The scroll machine is a novel fluid machine, and the scroll compressor has the advantages of high efficiency, environmental friendliness, simple structure, high reliability, fire prevention, explosion prevention and the like. The design and processing of the scroll plate of the scroll expander, which is used as a core component of the scroll expander, have the influence on improving the pneumatic power conversion efficiency of the scroll expander.
The basic structure of the scroll compressor is the same as that of the scroll expander, and the operation mechanism is the reverse. The scroll expander who uses at present reforms transform from scroll compressor and comes, and the vortex dish top is mostly the biarc, biarc adds sharp etc. and forms the vortex tooth, revises the vortex tooth that obtains by the biarc and at scroll expander normal during operation, owing to can shelter from by the scroll by the expander inlet port at a certain moment passively to make inlet port power loss increase, and then influence the pneumatic power conversion efficiency of scroll expander.
Disclosure of Invention
The invention aims to solve the technical problems and provides a scroll plate of a scroll expander, which avoids the shielding of a fixed scroll plate upper air inlet hole by a movable scroll plate tooth head when the scroll plate normally works, greatly reduces the power loss of an expansion air inlet and improves the pneumatic power conversion efficiency of the scroll expander.
In order to solve the technical problem, the invention is realized by the following technical scheme: a vortex disk of a vortex expander is characterized in that the starting end of the center of the vortex disk is an arc, the outer wall of the vortex disk is an involute which is tangent to the outer end point of the arc of the starting end of the center of the vortex disk and extends outwards, the inner wall of the vortex disk is a composite curve which is tangent to the inner end point of the arc of the starting end of the center of the vortex disk and extends outwards, the composite curve is composed of a straight line segment IG, a first involute GH, a first arc HN, a second arc NM, a third arc MD and a second involute which are connected smoothly in sequence, and the second involute is an involute which extends from a point D to a tooth tail; the straight line section IG is a common tangent line connecting the circular arc CI and the first involute GH, and the tangent points are a point I and a point G; and when the scroll plate works normally, the scroll molded line MNHGIC does not participate in the meshing of the scroll plate.
The involute equation of the outer wall of the scroll plate is as follows:
Figure BDA0001407639920000011
wherein: r is the radius of the base circle,
Figure BDA0001407639920000012
is the involute flare angle, - α is the involute generating angle, α is positive number.
The first involute GH of the inner wall of the scroll plate and the involute equation of the second involute are as follows:
Figure BDA0001407639920000021
wherein: r is the radius of the base circle,
Figure BDA0001407639920000022
is the involute flare angle and α is the involute generating angle.
The equation of the circle where the circular arc CI of the scroll plate is located is as follows: (x-x)O1)2+(y-yO1)2＝R1 2Wherein: x is the number ofO1、yO1Is the center O of a circular arc CI1Abscissa and ordinate of (A), R1Is the radius of the circular arc CI;
xO1、yO1can be formed by a system of equations
Figure BDA0001407639920000023
To obtain xC、yCPoint C coordinates. Point C is the tangent point of involute of outer wall of vortex disk and arc CI of vortex disk, R1The radius of the circular arc CI is β is a correction angle, β is a development angle of an involute of the outer wall of the scroll at a point C, and r is a base radius.
The point C coordinate can be represented by the equation
Figure BDA0001407639920000024
Thus obtaining the product.
The first involute GH is tangent to the first arc HN, the tangent point of the circle where the third arc DM is located and the circle where the arc HN is located is F, and the circle center O of the first arc HN3Center O of third arc DM2And the point N of the first circular arc HN and the point M of the third circular arc MD are connected through a circular arc NM on the same straight line with the point F, the circular arc NM is respectively tangent with the point M of the third circular arc MD and the point N of the first circular arc HN, and the third circular arc MD is tangent with the second involute.
The equation of the circle where the third circular arc MD of the scroll plate is as follows: (x-x)o2)2+(y-yo2)2＝R2 2Wherein: x is the number ofO2、yO2Is the center O of an arc MD2Abscissa and ordinate of (A), R2The radius of the circular arc DM.
xO2、yO2From a set of equations
Figure BDA0001407639920000025
To obtain xD、yDIs the point D coordinate. Point D is the tangent point of involute of inner wall of vortex disk and third circular arc MD, and R is2Radius of circular arc MD, R2Satisfies the relation R1+R22r, β is a correction angle, β + pi is a development angle of an involute of the inner wall of the scroll at a point D, and r is a base radius;
the coordinates of point D can be represented by the equation
Figure BDA0001407639920000026
Thus obtaining the product.
Compared with the prior art, the invention has the following beneficial effects:
according to the scroll plate of the scroll expander, the DM section of the scroll molded line is the meshing molded line, the MNHGIC part of the scroll molded line does not participate in meshing of the scroll plate and is a non-complete meshing scroll molded line, and the time and the area of the air inlet hole which is shielded can be reduced when the scroll plate rotates, so that the air inlet loss is reduced, and the pneumatic power conversion efficiency of the scroll expander is greatly improved.
Drawings
FIG. 1 is a schematic diagram of the scroll tooth profile of the present invention.
FIG. 2 is a schematic view showing the position of the air intake hole of the scroll expander according to the present invention.
Reference numerals: 1. an air inlet; 2. a scroll plate.
Detailed Description
The embodiments are described in detail below with reference to the accompanying drawings.
Referring to fig. 1 and 2, a scroll plate of a scroll expander, wherein a central starting end of the scroll plate 1 is an arc, an outer wall of the scroll plate 1 is an involute which is tangent to an outer end point of the arc of the central starting end of the scroll plate 1 and extends outwards, an inner wall of the scroll plate 1 is a composite curve which is tangent to an inner end point of the arc of the central starting end of the scroll plate 1 and extends outwards, the composite curve is composed of a straight line segment IG, a first involute GH, a first arc HN, a second arc NM, a third arc MD and a second involute which are connected smoothly in sequence, and the second involute is an involute which extends from a point D to a tooth tail; the straight line section IG is a common tangent line connecting the circular arc CI and the first involute GH, and the tangent points are a point I and a point G; when the scroll plate 1 normally works, the scroll molded line MNHGIC does not participate in the meshing of the scroll plate 1.
The involute equation of the outer wall of the scroll plate 1 is as follows:
Figure BDA0001407639920000031
wherein: r is the radius of the base circle,
Figure BDA0001407639920000032
is the involute flare angle, - α is the involute generating angle, α is positive number.
The first involute GH of the inner wall of the scroll plate 1 and the involute equation of the second involute are as follows:
Figure BDA0001407639920000033
wherein: r is the radius of the base circle,
Figure BDA0001407639920000034
is the involute flare angle and α is the involute generating angle.
The equation of the circle where the circular arc CI of the scroll plate 1 is located is as follows: (x-x)O1)2+(y-yO1)2＝R1 2Wherein: x is the number ofO1、yO1Is the center O of a circular arc CI1Abscissa and ordinate of (A), R1Is the radius of the circular arc CI;
xO1、yO1can be formed by a system of equations
Figure BDA0001407639920000041
To obtain xC、yCPoint C coordinates. Point C is the tangent point of involute of outer wall of scroll 1 and arc CI of scroll 1, and R is1Being circular arc CIRadius, β is the correction angle, β is the involute angle of the outer wall of the vortex plate 1 at the point C, and r is the radius of the base circle.
The point C coordinate can be represented by the equation
Figure BDA0001407639920000042
Thus obtaining the product.
The first involute GH is tangent to the first arc HN, the tangent point of the circle where the third arc DM is located and the circle where the arc HN is located is F, and the circle center O of the first arc HN3Center O of third arc DM2And the point N of the first circular arc HN and the point M of the third circular arc MD are connected through a circular arc NM on the same straight line with the point F, the circular arc NM is respectively tangent with the point M of the third circular arc MD and the point N of the first circular arc HN, and the third circular arc MD is tangent with the second involute.
The equation of the circle where the third circular arc MD of the scroll plate 1 is as follows: (x-x)o2)2+(y-yo2)2＝R2 2Wherein: x is the number ofO2、yO2Is the center O of an arc MD2Abscissa and ordinate of (A), R2The radius of the circular arc DM.
xO2、yO2From a set of equations
Figure BDA0001407639920000043
To obtain xD、yDIs the point D coordinate. Point D is the tangent point of involute of inner wall of vortex disc 1 and third circular arc MD, and R is2Radius of circular arc MD, R2Satisfies the relation R1+R22r, β is a correction angle, β + pi is a development angle of an involute of the inner wall of the vortex plate 1 at a point D, and r is a base circle radius;
the coordinates of point D can be represented by the equation
Figure BDA0001407639920000044
Thus obtaining the product.
The utility model provides a time and area that vortex expander scroll, the DM section of vortex molded lines are the meshing molded lines, and vortex molded lines MNHGIC part does not participate in vortex 1's meshing, for the non-meshing vortex molded lines, can reduce the inlet port and be sheltered from when vortex 1 rotates to reduce the air intake loss, improve vortex expander pneumatic power conversion efficiency greatly.
The above list is only one of the specific embodiments of the present invention. It will be clear that the invention is not limited to the above embodiments, but that many similar modifications are possible. All modifications which can be derived or suggested by a person skilled in the art from the disclosure of the present invention are to be considered within the scope of the invention.

Claims (2)

1. A scroll plate of a scroll expander, characterized in that: the starting end of the center of the scroll plate is an arc, the outer wall of the scroll plate is an involute which is tangent to the outer end point of the arc of the starting end of the center of the scroll plate and extends outwards, the inner wall of the scroll plate is a composite curve which is tangent to the inner end point of the arc of the starting end of the center of the scroll plate and extends outwards, the composite curve is composed of a straight line segment IG, a first involute GH, a first arc HN, a second arc NM, a third arc MD and a second involute which are connected smoothly in sequence, and the second involute is an involute which extends from a point D to the tooth tail; the straight line section IG is a common tangent line connecting the circular arc CI and the first involute GH, and the tangent points are a point I and a point G; when the scroll plate works normally, the scroll molded line MNHGIC does not participate in the meshing of the scroll plate;
the involute equation of the outer wall of the scroll plate is as follows:
Figure FDA0002278650410000011
wherein: r is the radius of the base circle,
Figure FDA0002278650410000012
is the involute flare angle, β is the modified angle,
Figure FDA0002278650410000013
the generating angle of a circle involute is- α and the generating angle of the circle involute is α, wherein the generating angle is a positive number;
the first involute GH of the inner wall of the scroll plate and the involute equation of the second involute are as follows:
Figure FDA0002278650410000014
wherein: r is the radius of the base circle,
Figure FDA0002278650410000015
is a circle involute expansion angle, and α is a circle involute generating angle;
the equation of the circle where the circular arc CI of the scroll plate is located is as follows: (x-x)O1)2+(y-yO1)2＝R1 2，
Wherein: x is the number ofO1、yO1Is the center O of a circular arc CI1Abscissa and ordinate of (A), R1Is the radius of the circular arc CI;
xO1、yO1can be formed by a system of equations
Figure FDA0002278650410000016
To obtain xC、yCIs a point C coordinate, the point C is a tangent point of the involute of the outer wall of the scroll and the circular arc CI of the scroll, R1The radius of the arc CI is shown as β, β is also the expansion angle of the involute of the outer wall of the scroll at the point C, and r is the radius of a base circle;
the point C coordinate can be represented by the equation
Figure FDA0002278650410000017
Obtaining;
the first involute GH is tangent to the first arc HN, the tangent point of the circle where the third arc DM is located and the circle where the arc HN is located is F, and the circle center O of the first arc HN3Center O of third arc DM2And the point N of the first circular arc HN and the point M of the third circular arc MD are connected through a circular arc NM on the same straight line with the point F, the circular arc NM is respectively tangent with the point M of the third circular arc MD and the point N of the first circular arc HN, and the third circular arc MD is tangent with the second involute.
2. As claimed inClaim 1 discloses a vortex expander vortex plate, its characterized in that: the equation of the circle where the third circular arc MD of the scroll plate is as follows: (x-x)o2)2+(y-yo2)2＝R2 2，
Wherein: x is the number ofO2、yO2Is the center of an arc MD circleO2Abscissa and ordinate of (A), R2Is the radius of the circular arc DM;
xO2、yO2from a set of equations
Figure FDA0002278650410000021
To obtain xD、yDIs a coordinate of point D, the point D is a tangent point of the involute of the inner wall of the scroll and the third circular arc MD, and R is2Radius of circular arc MD, R2Satisfies the relation R1+R22r, β is a correction angle, β + pi is the expansion angle of the involute of the inner wall of the vortex disk at a point D, r is the radius of a base circle, and the coordinate of the point D is represented by the equation
Figure FDA0002278650410000022
Thus obtaining the product.
CN201710826542.8A 2017-05-12 2017-09-14 Vortex disk of vortex expander Active CN107829784B (en)

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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101389828A (en) * 2006-02-23 2009-03-18 松下电器产业株式会社 Scroll expansion machine and refrigeration cycle apparatus
CN102493848A (en) * 2011-12-23 2012-06-13 山东大学 Vortex disc of vortex expander
CN104121197A (en) * 2013-12-05 2014-10-29 柳州易舟汽车空调有限公司 Scroll plate
CN105298545A (en) * 2015-11-16 2016-02-03 兰州理工大学 Scroll plate of scroll expansion machine

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101389828A (en) * 2006-02-23 2009-03-18 松下电器产业株式会社 Scroll expansion machine and refrigeration cycle apparatus
CN102493848A (en) * 2011-12-23 2012-06-13 山东大学 Vortex disc of vortex expander
CN104121197A (en) * 2013-12-05 2014-10-29 柳州易舟汽车空调有限公司 Scroll plate
CN105298545A (en) * 2015-11-16 2016-02-03 兰州理工大学 Scroll plate of scroll expansion machine

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