CN209444374U - A kind of variable cross-section screw rotor of twin-screw expander - Google Patents

A kind of variable cross-section screw rotor of twin-screw expander Download PDF

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Publication number
CN209444374U
CN209444374U CN201822189419.2U CN201822189419U CN209444374U CN 209444374 U CN209444374 U CN 209444374U CN 201822189419 U CN201822189419 U CN 201822189419U CN 209444374 U CN209444374 U CN 209444374U
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China
Prior art keywords
screw
screw rotor
molded line
radius
rotor
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CN201822189419.2U
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Chinese (zh)
Inventor
沙润东
冯浩志
王君
武萌
李宏鑫
陈志凯
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China University of Petroleum East China
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China University of Petroleum East China
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Abstract

The utility model discloses a kind of variable cross-section screw rotor of twin-screw expander, left screw rotor (1) and right screw rotor (2) are tapered, gear ratio 5:3;From inlet end (I-I) to exhaust end (V-V), the tooth height of left screw rotor (1) and right screw rotor (2) is gradually increased, and screw pitch is gradually increased, and center is away from remaining unchanged;The left section molded line (101) of left screw rotor (1) and the right section molded line (201) of right screw rotor (2) are different from any axial positions, but the type of two sections molded line constituent curve is identical with number, and is smoothly connected between adjacent two sections of curves;Left screw rotor (1) and right screw rotor (2) can be realized correct engagement, while being formed by working chamber volume and being gradually increased from inlet end (I-I) to exhaust end (V-V);The conical screw rotor proposed has biggish interior volume specific ratio and expansion ratio, and the scope of application and field are wider.

Description

A kind of variable cross-section screw rotor of twin-screw expander
Technical field
The utility model relates to twin-screw expander, in particular to a kind of variable cross-section screw rod suitable for twin-screw expander Rotor.
Background technique
Twin-screw expander is a kind of positive-displacement expansion engine, because its structure is simple, high reliablity and torque output are stable Feature is widely used in industrial afterheat power generation, the power generation of geothermal energy heat and solar energy thermal-power-generating field;The core of twin-screw expander Center portion part is a pair of intermeshing screw rotor, forms periodically variable working chamber volume in the movement of asynchronous dual AC power, Realize the entrance, expansion and discharge process of working media, thus the interior of working media can be converted into mechanical energy;Screw rotor and its The geometrical property of section molded line plays vital influence to the size of twin-screw expander interior volume specific ratio, directly determines The working performance of twin-screw expander.
It is swollen to disclose a kind of twin-screw for low temperature exhaust heat recovery system by Chinese patent, publication No. CN206129323U Swollen machine;The characteristics of twin-screw expander is: the screw rotor of twin-screw expander is uniform pitch, and in axially different position Set locate each section profile it is constant, thus the interior volume specific ratio of the twin-screw expander is small, expansion ratio is small;Chinese patent, it is public The characteristics of cloth CN204024716U discloses a kind of twin-screw expander, the twin-screw expander is: its screw rotor root It being integrally conical, working chamber volume is designed to the form become larger, but the screw rotor is since only root radius reduces, And radius of addendum is constant, molded line engagement property is poor, and gas leakage is serious in work.
Utility model content
In order to improve the interior volume specific ratio and expansion ratio of twin-screw expander, the utility model proposes a kind of twin-screw expanders Variable cross-section screw rotor, including left screw rotor (1) and right screw rotor (2);Two screw rods rotor is tapered, from inlet end (I-I) exhaust end (V-V), the left section molded line (101) of left screw rotor (1) and the right section type of right screw rotor (2) are arrived Line (201) all consecutive variations, but the type of any axial positions two sections molded line constituent curve with number identical, center Away from remaining unchanged, and it can realize correct engagement;The screw pitch variation pattern of two screw rods rotor is varying pitch;From inlet end (I- I) exhaust end (V-V) is arrived, screw rotor working chamber volume is gradually increased, and has biggish interior volume specific ratio and expansion ratio, in work It can make interior can be converted into mechanical energy to a greater degree during work;Section molded line used by two screw rods rotor is to be completely smooth , the adverse effect of rough tie point is eliminated, the mechanical characteristic of screw rotor is improved, a kind of twin-screw expansion proposed The variable cross-section screw rotor of machine, for expanding the scope of application of twin-screw expander and field and improving twin-screw expander Working performance has great importance.
To achieve the goals above, the utility model adopts the following technical solution:
A kind of variable cross-section screw rotor of twin-screw expander, including left screw rotor (1) and right screw rotor (2);It is left Screw rotor (1) and right screw rotor (2) are tapered, gear ratio 5:3;It is left from inlet end (I-I) to exhaust end (V-V) The tooth height of screw rotor (1) and right screw rotor (2) is gradually increased, and screw pitch is gradually increased, and the center of two screw rods rotor is away from constant; From inlet end (I-I) to exhaust end (V-V), the left section molded line (101) of left screw rotor (1) and right screw rotor (2) Right section molded line (201) all consecutive variations, but in the type and number of any axial positions two sections molded line constituent curve It is identical;Flute profile on the left section molded line (101) of left screw rotor (1) includes 5 sections of curves, be respectively as follows: the first connection circular arc AB, First cycloid equidistant curve BC, the second cycloid equidistant curve CD, second connection circular arc DE and left addendum circle arc EF, all pitch circle with Interior, flute profile is symmetrical, the number of teeth 5, is smoothly connected between adjacent two sections of curves, and rough tie point is not present;From inlet end (I-I) Left root radius R to exhaust end (V-V), on the left section molded line (101) of left screw rotor (1)1cIt is gradually reduced, left tooth Root radius R1cWith left-hand screw angle of spread τ1Variation and consecutive variations, meet following equation:
In formula: R1cs、R1cd- it is respectively tooth of the left section molded line (101) at inlet end (I-I) and exhaust end (V-V) Root radius, mm;k1、k2- varying pitch parameter;N-screw pitch number;
Left radius of addendum R in any axial positions, the left section molded line (101) of left screw rotor (1)1a, it is left Pitch radius R1b, first connection circular arc AB radius R1dWith the second connection circular arc DE radius R1eIt is constant, and meet:
R1d=c1
R1e=c2
In formula: A-two screw rods rotor center is away from mm;c1、c2- constant, mm;Left radius of addendum R1aWith left pitch circle half Diameter R1bIt is equal;
Flute profile on the right section molded line (201) of right screw rotor (2) includes 5 sections of curves, and it is equidistant to be respectively as follows: third cycloid Curve GH, third connection circular arc HI, the 4th connection circular arc IJ, the 4th cycloid equidistant curve JK and right tooth root circular arc KL, are being saved Other than circle, flute profile is symmetrical, the number of teeth 3, is smoothly connected between adjacent two sections of constituent curves, and rough tie point is not present;Right spiral shell Right radius of addendum R on the right section molded line (201) of bar rotor (2)2a, third connect circular arc HI radius R2fWith the 4th connection Circular arc IJ radius R2gThe consecutive variations with the variation of the left section molded line (101) of left screw rotor (1), meet following equation:
R2a1)=A-R1c1)
R2f1)=k3[R1a-R1c1)]
R2g1)=k4[R1a-R1c1)]
In formula: k3、k4- radius parameter;
Right pitch radius R in any axial positions, the right section molded line (201) of right screw rotor (2)2bWith right tooth Root radius R2cIt is constant, and meet:
Right pitch radius R2bWith right root radius R2cIt is equal.
The variable cross-section screw rotor of a kind of twin-screw expander, in left screw rotor (1) and right screw rotor (2) Transmission ratio be 3:5 incorgruous dual AC power movement in, in any axial positions, the left section molded line of left screw rotor (1) (101) and the right section molded line (201) of right screw rotor (2) can realize correct engagement;A left side for left screw rotor (1) is cut The first connection circular arc AB on face molded line (101), the first cycloid equidistant curve BC, the second cycloid equidistant curve CD, the second connection Circular arc DE, left addendum circle arc EF, respectively with the third cycloid equidistant curve on the right section molded line (201) of right screw rotor (2) GH, third connection circular arc HI, the 4th connection circular arc IJ, the 4th cycloid equidistant curve JK and right tooth root circular arc KL can be realized correctly Engagement.
A kind of variable cross-section screw rotor of twin-screw expander, left screw rotor (1) are by left section molded line (101) it is unfolded to be formed along left Method of Variable Pitch Screw from inlet end (I-I) to exhaust end (V-V);With left screw rotor (1) Centre of gyration line and the intersection point of inlet end (I-I) place plane are coordinate origin, using centre of gyration line as z-axis, establish three-dimensional sit Mark system, the equation of left Method of Variable Pitch Screw are as follows:
In formula: τ1- left-hand screw the angle of spread, rad;R1The base radius of-left Method of Variable Pitch Screw, mm;
Right screw rotor (2) is by right section molded line (201) from inlet end (I-I) to exhaust end (V-V) along right varying pitch What helix was unfolded to be formed;Using the intersection point of plane where the centre of gyration line of right screw rotor (2) and inlet end (I-I) as coordinate Origin establishes three-dimensional system of coordinate, the equation of right Method of Variable Pitch Screw using centre of gyration line as z-axis are as follows:
In formula: τ2- right-hand screw the angle of spread, rad meet in same axial positionsR2- right varying pitch spiral shell The base radius of spin line, mm.
The utility model has the following beneficial effects:
1. the variable cross-section screw rotor of a kind of twin-screw expander proposed, from inlet end (I-I) to exhaust end (V- V), two screw rods rotor is tapered, and screw pitch variation pattern is varying pitch, and two screw rods rotor is formed by working chamber edge in engagement Axially and radially all change so that be formed by closing working chamber volume inlet end minimum, be gradually increased, exhaust end most Greatly, the interior volume specific ratio that can improve screw rotor to greatest extent has widened application range and the field of twin-screw expander;
2. two screw rods rotor is all complete smooth in the section molded line of any axial positions, and can realize and correctly nibble It closes, the contact in engagement for face with face improves the mechanical characteristic of screw rotor;
3. two screw rods rotor is tapered, but center, away from constant, two screw rods rotor centerline parallel arrangement is easily installed.
Detailed description of the invention
The present invention will be further described with reference to the accompanying drawing.
Fig. 1 is left section molded line (101) the constituent curve figure of left screw rotor (1).
Fig. 2 is right section molded line (201) the constituent curve figure of right screw rotor (2).
Fig. 3 is left section molded line (101) and right section molded line (201) meshing relation figure.
Left screw rotor (1) and right screw rotor (2) engagement figure when Fig. 4 is work.
Left screw rotor (1) and right screw rotor (2) engage sectional view when Fig. 5 is work.
Left screw rotor (1) and right screw rotor (2) three-dimensional engagement figure when Fig. 6 is work.
Fig. 7 is in the left section molded line (101) of I-I axial positions and right section molded line (201) engagement figure.
Fig. 8 is in the left section molded line (101) of II-II axial positions and right section molded line (201) engagement figure.
Fig. 9 is in the left section molded line (101) of III-III axial positions and right section molded line (201) engagement figure.
Figure 10 is in the left section molded line (101) of IV-IV axial positions and right section molded line (201) engagement figure.
Figure 11 is in the left section molded line (101) of V-V axial positions and right section molded line (201) engagement figure.
In figure: R1a- left radius of addendum;R1b- left pitch radius;R1c- left root radius;R1d- the first connection circle Arc AB radius;R1e- the second connection circular arc DE radius;R2a- right radius of addendum;R2b- right pitch radius;R2c- right root circle Radius;R2f- third connects circular arc HI radius;R2g- the four connection circular arc IJ radius;P1- the first screw pitch;P2- the second screw pitch; P3- third screw pitch;P4- the four screw pitch;1-left screw rotor;2-right screw rotors;101-left section molded line;201-is right Section molded line;Point O1, point O2- be respectively two sections molded line centre of gyration point, the axis at place is respectively two screw rods rotor Centre of gyration line.
Specific embodiment
The utility model is described in further detail with embodiment with reference to the accompanying drawing.
As shown in Figure 1, being left section molded line (101) the constituent curve figure of left screw rotor (1);Left screw rotor (1) Flute profile on left section molded line (101) includes 5 sections of curves, be respectively as follows: the first connection circular arc AB, the first cycloid equidistant curve BC, Second cycloid equidistant curve CD, the second connection circular arc DE and left addendum circle arc EF, all within pitch circle, flute profile is symmetrical, and the number of teeth is 5, it is smoothly connected between adjacent two sections of curves, rough tie point is not present.
As shown in Fig. 2, being right section molded line (201) the constituent curve figure of right screw rotor (2);Right screw rotor (2) Flute profile on right section molded line (201) includes 5 sections of curves, be respectively as follows: third cycloid equidistant curve GH, third connection circular arc HI, 4th connection circular arc IJ, the 4th cycloid equidistant curve JK and right tooth root circular arc KL, all other than pitch circle, flute profile is symmetrical, and the number of teeth is 3, it is smoothly connected between adjacent two sections of constituent curves, rough tie point is not present.
As shown in figure 3, being left section molded line (101) and right section molded line (201) meshing relation figure;In left screw rotor (1) and the transmission ratio of right screw rotor (2) be 3:5 incorgruous dual AC power movement in, in any axial positions, left screw rotor (1) the right section molded line (201) of left section molded line (101) and right screw rotor (2) can realize correct engagement;Left spiral shell The first connection circular arc AB, the first cycloid equidistant curve BC, the second cycloid on the left section molded line (101) of bar rotor (1) is equidistant Curve CD, the second connection circular arc DE, left addendum circle arc EF, respectively with the on the right section molded line (201) of right screw rotor (2) Three cycloid equidistant curve GH, third connection circular arc HI, the 4th connection circular arc IJ, the 4th cycloid equidistant curve JK and right tooth root circular arc KL can be realized correct engagement.
As shown in Figure 4, Figure 5 and Figure 6, left screw rotor (1) and right screw rotor (2) engagement figure, work when respectively working Left screw rotor (1) and right screw rotor when left screw rotor (1) and right screw rotor (2) engage sectional view and work when making (2) three-dimensional engagement figure;I-I and V-V respectively indicates screw rotor inlet end and the corresponding axial position of exhaust end;Left screw rod turns Sub (1) and right screw rotor (2) are tapered, gear ratio 5:3;From inlet end (I-I) to exhaust end (V-V), left screw rod turns The tooth height of sub (1) and right screw rotor (2) is gradually increased, and screw pitch is gradually increased, and the center of two screw rods rotor is away from constant;From air inlet (I-I) is held to arrive exhaust end (V-V), the left section molded line (101) of left screw rotor (1) and the right section of right screw rotor (2) Molded line (201) all consecutive variations, but the type in any axial positions two sections molded line constituent curve is identical with number;It is left Screw rotor (1) is from inlet end (I-I) to exhaust end (V-V) by left section molded line (101) along left Method of Variable Pitch Screw exhibition Open form at;Using the intersection point of plane where the centre of gyration line of left screw rotor (1) and inlet end (I-I) as coordinate origin, with Centre of gyration line is z-axis, establishes three-dimensional system of coordinate, the equation of left Method of Variable Pitch Screw are as follows:
In formula: τ1- left-hand screw the angle of spread, rad;R1The base radius of-left Method of Variable Pitch Screw, mm;
Right screw rotor (2) is by right section molded line (201) from inlet end (I-I) to exhaust end (V-V) along right varying pitch What helix was unfolded to be formed;Using the intersection point of plane where the centre of gyration line of right screw rotor (2) and inlet end (I-I) as coordinate Origin establishes three-dimensional system of coordinate, the equation of right Method of Variable Pitch Screw using centre of gyration line as z-axis are as follows:
In formula: τ2- right-hand screw the angle of spread, rad meet in same axial positionsR2- right varying pitch spiral shell The base radius of spin line, mm;
Because the screw pitch of Method of Variable Pitch Screw is gradually increased from inlet end (I-I) to exhaust end (V-V), generate Screw pitch (the P of screw rotor1、P2、P3、P4) be also gradually increased, i.e. P4>P3>P2>P1
As shown in Fig. 7, Fig. 8, Fig. 9, Figure 10 and Figure 11, respectively on the left section molded line (101) of I-I axial positions and the right side Section molded line (201) engagement figure, the left section molded line (101) of II-II axial positions and right section molded line (201) engagement scheme, It is cut in the left section molded line (101) of III-III axial positions and right section molded line (201) engagement figure, on IV-IV axial positions left side Face molded line (101) and right section molded line (201) engagement are schemed and in the left section molded line (101) of V-V axial positions and right section Molded line (201) engagement figure;Left screw rotor (1) and right screw rotor (2) are tapered, gear ratio 5:3;From inlet end (I-I) To exhaust end (V-V), the tooth height of left screw rotor (1) and right screw rotor (2) is gradually increased, and screw pitch is gradually increased, two spiral shells The center of bar rotor is away from constant;From inlet end (I-I) to exhaust end (V-V), the left section molded line of left screw rotor (1) (101) and right section molded line (201) all consecutive variations of right screw rotor (2), but in any axial positions two sections type The type of line constituent curve is identical with number;From inlet end (I-I) to exhaust end (V-V), the left section of left screw rotor (1) Left root radius R on molded line (101)1cIt is gradually reduced, left root radius R1cWith left-hand screw angle of spread τ1Variation and company Continuous variation, meets following equation:
In formula: R1cs、R1cd- it is respectively tooth of the left section molded line (101) at inlet end (I-I) and exhaust end (V-V) Root radius, mm;k1、k2- varying pitch parameter;N-screw pitch number;
Left radius of addendum R in any axial positions, the left section molded line (101) of left screw rotor (1)1a, it is left Pitch radius R1b, first connection circular arc AB radius R1dWith the second connection circular arc DE radius R1eIt is constant, and meet:
R1d=c1
R1e=c2
In formula: A-two screw rods rotor center is away from mm;c1、c2- constant, mm;Left radius of addendum R1aWith left pitch circle half Diameter R1bIt is equal;
Right radius of addendum R on the right section molded line (201) of right screw rotor (2)2a, third connect circular arc HI radius R2fWith the 4th connection circular arc IJ radius R2gThe consecutive variations with the variation of the left section molded line (101) of left screw rotor (1) are full Sufficient following equation:
R2a1)=A-R1c1)
R2f1)=k3[R1a-R1c1)]
R2g1)=k4[R1a-R1c1)]
In formula: k3、k4- radius parameter;
Right pitch radius R in any axial positions, the right section molded line (201) of right screw rotor (2)2bWith right tooth Root radius R2cIt is constant, and meet:
Right pitch radius R2bWith right root radius R2cIt is equal.
It is above-mentioned although specific embodiments of the present invention are described with reference to the accompanying drawings, but it is not practical new to this The limitation of type protection scope, those skilled in the art should understand that, based on the technical solution of the present invention, ability Field technique personnel do not need to make the creative labor the various modifications or changes that can be made still in the protection model of the utility model Within enclosing.

Claims (3)

1. a kind of variable cross-section screw rotor of twin-screw expander, including left screw rotor (1) and right screw rotor (2), special Sign is: left screw rotor (1) and right screw rotor (2) are tapered, gear ratio 5:3;From inlet end (I-I) to exhaust end (V- V), the tooth height of left screw rotor (1) and right screw rotor (2) is gradually increased, and screw pitch is gradually increased, the center of two screw rods rotor Away from constant;From inlet end (I-I) to exhaust end (V-V), the left section molded line (101) of left screw rotor (1) and right screw rod turn Right section molded line (201) all consecutive variations of sub (2), but in the type of any axial positions two sections molded line constituent curve It is identical with number;Flute profile on the left section molded line (101) of left screw rotor (1) includes 5 sections of curves, is respectively as follows: the first connection Circular arc AB, the first cycloid equidistant curve BC, the second cycloid equidistant curve CD, the second connection circular arc DE and left addendum circle arc EF, all Within pitch circle, flute profile is symmetrical, the number of teeth 5, is smoothly connected between adjacent two sections of curves, and rough tie point is not present;From into Exhaust end (V-V) is arrived at gas end (I-I), the left root radius R on the left section molded line (101) of left screw rotor (1)1cGradually Reduce, left root radius R1cThe consecutive variations with the variation of left-hand screw angle of spread τ 1, meet following equation:
In formula: R1cs、R1cd- it is respectively root circle of the left section molded line (101) at inlet end (I-I) and exhaust end (V-V) Radius, mm;k1、k2- varying pitch parameter;N-screw pitch number;
Left radius of addendum R in any axial positions, the left section molded line (101) of left screw rotor (1)1a, Zuo Jieyuan Radius R1b, first connection circular arc AB radius R1dWith the second connection circular arc DE radius R1eIt is constant, and meet:
R1d=c1
R1e=c2
In formula: A-two screw rods rotor center is away from mm;c1、c2- constant, mm;Left radius of addendum R1aWith left pitch radius R1b It is equal;
Flute profile on the right section molded line (201) of right screw rotor (2) includes 5 sections of curves, is respectively as follows: third cycloid equidistant curve GH, third connection circular arc HI, the 4th connection circular arc IJ, the 4th cycloid equidistant curve JK and right tooth root circular arc KL, all pitch circle with Outside, flute profile is symmetrical, the number of teeth 3, is smoothly connected between adjacent two sections of constituent curves, and rough tie point is not present;Right screw rod turns Right radius of addendum R on the right section molded line (201) of sub (2)2a, third connect circular arc HI radius R2fWith the 4th connection circular arc IJ radius R2gThe consecutive variations with the variation of the left section molded line (101) of left screw rotor (1), meet following equation:
R2a1)=A-R1c1)
R2f1)=k3[R1a-R1c1)]
R2g1)=k4[R1a-R1c1)]
In formula: k3、k4- radius parameter;
Right pitch radius R in any axial positions, the right section molded line (201) of right screw rotor (2)2bWith right root circle Radius R2cIt is constant, and meet:
Right pitch radius R2bWith right root radius R2cIt is equal.
2. a kind of variable cross-section screw rotor of twin-screw expander as described in claim 1, it is characterized in that: in left screw rotor (1) and the transmission ratio of right screw rotor (2) be 3:5 incorgruous dual AC power movement in, in any axial positions, left screw rotor (1) the right section molded line (201) of left section molded line (101) and right screw rotor (2) can realize correct engagement;Left spiral shell The first connection circular arc AB, the first cycloid equidistant curve BC, the second cycloid on the left section molded line (101) of bar rotor (1) is equidistant Curve CD, the second connection circular arc DE, left addendum circle arc EF, respectively with the on the right section molded line (201) of right screw rotor (2) Three cycloid equidistant curve GH, third connection circular arc HI, the 4th connection circular arc IJ, the 4th cycloid equidistant curve JK and right tooth root circular arc KL can be realized correct engagement.
3. a kind of variable cross-section screw rotor of twin-screw expander as described in claim 1, it is characterized in that: left screw rotor It (1) is to be unfolded to be formed along left Method of Variable Pitch Screw from inlet end (I-I) to exhaust end (V-V) by left section molded line (101); Using the intersection point of plane where the centre of gyration line of left screw rotor (1) and inlet end (I-I) as coordinate origin, with centre of gyration line For z-axis, three-dimensional system of coordinate, the equation of left Method of Variable Pitch Screw are established are as follows:
In formula: τ1- left-hand screw the angle of spread, rad;R1The base radius of-left Method of Variable Pitch Screw, mm;
Right screw rotor (2) is by right section molded line (201) from inlet end (I-I) to exhaust end (V-V) along right variable-pitch auger What line was unfolded to be formed;Using the intersection point of plane where the centre of gyration line of right screw rotor (2) and inlet end (I-I) as coordinate original Point establishes three-dimensional system of coordinate, the equation of right Method of Variable Pitch Screw using centre of gyration line as z-axis are as follows:
In formula: τ2- right-hand screw the angle of spread, rad meet in same axial positionsR2- right Method of Variable Pitch Screw Base radius, mm.
CN201822189419.2U 2018-12-25 2018-12-25 A kind of variable cross-section screw rotor of twin-screw expander Withdrawn - After Issue CN209444374U (en)

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Application Number Priority Date Filing Date Title
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109458226A (en) * 2018-12-25 2019-03-12 中国石油大学(华东) A kind of variable cross-section screw rotor of twin-screw expander

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109458226A (en) * 2018-12-25 2019-03-12 中国石油大学(华东) A kind of variable cross-section screw rotor of twin-screw expander
CN109458226B (en) * 2018-12-25 2024-08-09 中国石油大学(华东) Variable cross-section screw rotor of double-screw expander

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