CN115030898B - Rotor with improved involute Roots rotor profile and design method thereof - Google Patents

Rotor with improved involute Roots rotor profile and design method thereof Download PDF

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CN115030898B
CN115030898B CN202210863309.8A CN202210863309A CN115030898B CN 115030898 B CN115030898 B CN 115030898B CN 202210863309 A CN202210863309 A CN 202210863309A CN 115030898 B CN115030898 B CN 115030898B
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involute
segment
arc
rotor
section
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CN115030898A (en
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蔡英杰
胡强
姚立纲
杨仁义
周浩
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Fuzhou University
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Fuzhou University
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C29/00—Component parts, details or accessories of pumps or pumping installations, not provided for in groups F04C18/00 - F04C28/00
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C18/00—Rotary-piston pumps specially adapted for elastic fluids
    • F04C18/08—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
    • F04C18/12—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type
    • F04C18/126—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with radially from the rotor body extending elements, not necessarily co-operating with corresponding recesses in the other rotor, e.g. lobes, Roots type
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C2240/00—Components
    • F04C2240/20—Rotors
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C2250/00—Geometry
    • F04C2250/20—Geometry of the rotor
    • Y—GENERAL 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
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00—Energy generation through renewable energy sources
    • Y02E10/20—Hydro energy

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  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Rotary Pumps (AREA)

Abstract

The invention discloses a rotor with an improved involute Roots rotor molded line and a design method thereof, wherein the rotor with the improved involute Roots rotor molded line comprises a rotor body and three ends which are distributed on the rotor body and uniformly distributed along the circumferential direction, each end consists of a plurality of segments, each end is in an axisymmetric leaf shape, and the symmetric half edge of each end consists of four parts of AB segment teeth Gu Yuanhu, BC segment involute, CD segment eccentric arcs and DE segment straight lines. The rotor profile of the Roots blower has the radius-to-distance ratio of 1.61 and the area utilization coefficient of 0.603, has good sealing property, can provide larger air quantity and improves the efficiency of the Roots blower; meanwhile, the rotor matching process can achieve full-section meshing and smooth transition of curves, and has the advantages of simple structure, design optimization and strong practicability.

Description

Rotor with improved involute Roots rotor profile and design method thereof
Technical Field
The invention relates to a rotor with an improved involute Roots rotor profile and a design method thereof.
Background
The Roots blower is a common rotary fluid compression machine, is one of important equipment in the domestic modern industry, has various installation modes, simple internal structure, no need of lubrication of an inner cavity during working, stable exhaust capacity, stable operation, high volumetric efficiency, no oil contained in a conveying fluid and the like, and is widely applied to industries such as aquatic product cultivation, sewage and wastewater treatment and the like.
The Roots blower is a double-rotor compression machine, the working principle is that the axes of two rotors are parallel to each other, the two rotors can be meshed with each other, and the two Roots rotors do synchronous different-direction double-rotation movement to realize the periodical change of a working cavity, thereby completing the suction, transportation and discharge of gas.
To ensure the normal and stable operation, the two rotors are the most critical, and the core of the rotors is a molded line; whether the design of the rotor molded line is reasonable or not directly relates to various performance indexes of the Roots blower, so the design of the rotor molded line is particularly important; traditional rotor profiles are mainly divided into 3 main categories: the circular arc-involute type, circular arc-envelope type and cycloid type cannot be widely used because of low area utilization coefficient and poor sealing performance; at present, the arc-involute type is widely adopted because of convenient processing and good sealing performance, and when the involute type rotor is designed, the ratio (D/a) of the rotor diameter D to the center distance a is called as the radius-to-distance ratio, which is an important parameter to determine the flow of the Roots blower; the greater the ratio, the thinner the rotor, the higher the area utilization coefficient of the rotor, and the greater the flow; however, if the ratio is greater than a certain extreme value, interference occurs, so that the involute type conventional molded line cannot be adopted, and the molded line design is limited.
Disclosure of Invention
The invention aims to provide a rotor with an improved involute Roots rotor molded line and a design method thereof, and the rotor with the improved involute Roots rotor molded line can provide larger air quantity while ensuring better sealing performance, thereby improving the efficiency of a Roots blower.
The invention provides a rotor with improved involute Roots rotor profile, which is characterized in that: the rotor comprises a rotor body and three ends which are distributed on the rotor body and uniformly distributed along the circumferential direction, each end is composed of a plurality of segments, each end is in an axisymmetric leaf shape, and the symmetric half edge of each end is composed of four parts of AB segment teeth Gu Yuanhu, BC segment involute, CD segment eccentric arc and DE segment straight line.
Further, the parameter equation of the AB tooth valley arc is:
Figure BDA0003756040370000021
wherein: m is m 1 -the value of the abscissa of the center of the arc of the tooth valley of the AB segment, m 1 ＝0.43R m ，R m The outer circle radius of the impeller;
n 1 -the longitudinal coordinate value of the center of the circle of the tooth valley arc section of the AB section, n 1 ＝0.25R m ；
r 1 Radius of AB segment tooth valley arc segment, r 1 ＝0.26R m ；
α 1 -the angle corresponding to arc AB.
Further, the involute of the BC segment is an involute, and the rectangular coordinate equation thereof is as follows:
Figure BDA0003756040370000022
wherein: e-normal spacing before and after involute change;
R 0 -base radius of involute, R 0 ＝0.55R m ；
t is the sum of the involute pressure angle and the spread angle.
Further, the eccentric arc CD is a transition arc connecting the involute BC and the straight line DE, and the involute BC and the eccentric arc CD have the same tangent at the end point C, and the parameter equation is:
Figure BDA0003756040370000023
wherein: m is m 2 -the value of the abscissa, m, of the center of the circle of the eccentric arc CD segment 2 ＝-0.28R m ；
n 2 -the longitudinal coordinate value of the center of the circle of the eccentric arc CD segment, n 2 ＝-0.46R m ；
r 2 Radius of eccentric circular arc CD segment, r 2 ＝0.61R m ；
α 2 -the angle corresponding to the arc CD.
Further, the DE tooth tip straight line segment is a straight line segment perpendicular to the y axis of the coordinate, and the parameter equation is:
Figure BDA0003756040370000031
wherein: x is x D -abscissa of D point, x D ＝R m ；
x E -abscissa of E point, x E ＝R m ；
L DE Length of DE straight line segment, L DE ＝0.015R m 。
Further, the profile line formed by the four parts of the AB section tooth Gu Yuanhu, the BC section involute, the CD section eccentric arc and the DE section straight line is 1/6 of the improved involute type impeller profile line, and the complete profile line of the impeller can be obtained by mirroring and copying and rotating the profile line for 120 degrees.
Further, the radius-to-pitch ratio of the modified involute roots rotor profile is 1.61, and the area utilization coefficient is 0.603.
Further, when the two meshed rotors are used in the Roots blower, the center distance of the two rotors is 127mm, the gap between the two impellers is 0.2mm, the gap between the impellers and the wall surface is 0.2mm, the inlet and outlet diameters of the Roots blower are 40mm, and the outlet volume flow is 0.72121m 3 /s。
Further, the above improved involute profile coordinate values:
Figure BDA0003756040370000032
/>
Figure BDA0003756040370000041
the invention relates to a design method of a rotor with improved involute Roots rotor molded lines, which is characterized in that: the rotor with the improved involute Roots rotor molded line comprises a rotor body and three ends which are distributed on the rotor body and uniformly distributed along the circumferential direction, each end consists of a plurality of segments, each end is in an axisymmetric leaf shape, and the symmetrical half edge of each end consists of four parts of AB segment teeth Gu Yuanhu, BC segment involute, CD segment eccentric circular arcs and DE segment straight lines; the AB segment tooth Gu YuanhuThe parametric equation for (2) is:
Figure BDA0003756040370000051
wherein: m is m 1 -the value of the abscissa of the center of the arc of the tooth valley of the AB segment, m 1 ＝0.43R m ，R m The outer circle radius of the impeller;
n 1 -the longitudinal coordinate value of the center of the circle of the tooth valley arc section of the AB section, n 1 ＝0.25R m ；
r 1 Radius of AB segment tooth valley arc segment, r 1 ＝0.26R m ；
α 1 -the angle corresponding to arc AB;
the BC segment involute is an involute, and the rectangular coordinate equation:
Figure BDA0003756040370000052
wherein: e-normal spacing before and after involute change;
R 0 -base radius of involute, R 0 ＝0.55R m ；
t is the sum of the involute pressure angle and the spread angle;
the eccentric arc CD is a transition section arc line for connecting the involute BC and the straight line DE, and the involute BC and the eccentric arc CD have the same tangent line at the end point C, and the parameter equation is as follows:
Figure BDA0003756040370000053
wherein: m is m 2 -the value of the abscissa, m, of the center of the circle of the eccentric arc CD segment 2 ＝-0.28R m ；
n 2 -the longitudinal coordinate value of the center of the circle of the eccentric arc CD segment, n 2 ＝-0.46R m ；
r 2 Radius of eccentric circular arc CD segment, r 2 ＝0.61R m ；
α 2 -the angle corresponding to arc CD;
the DE tooth top straight line segment is a straight line segment perpendicular to a coordinate y axis, and the parameter equation is as follows:
Figure BDA0003756040370000054
wherein: x is x D -abscissa of D point, x D ＝R m ；
x E -abscissa of E point, x E ＝R m ；
L DE Length of DE straight line segment, L DE ＝0.015R m ；
The profile line formed by four parts of the AB section tooth Gu Yuanhu, the BC section involute, the CD section eccentric arc and the DE section straight line is 1/6 of the improved involute type impeller profile line, and the complete profile line of the impeller can be obtained by mirroring, copying and rotating the profile line by 120 degrees.
Through experimental comparison, the maximum radius-to-distance ratio and the area utilization coefficient of different molded lines
Figure BDA0003756040370000061
/>
The table shows that the diameter-to-distance ratio of the molded line Roots blower reaches 1.61, the area utilization coefficient reaches 0.603, which is incomparable with the traditional molded line, and the table shows that the blowing capacity of the novel molded line Roots blower is improved by 32% compared with the traditional molded line, and meanwhile, the complete meshing of involute and the smooth transition of curves of each section are ensured, so that the novel molded line Roots blower is a molded line with excellent performance.
In order to verify that the novel Roots blower rotor molded line can provide larger air quantity, CFD simulation software is used for modeling and simulation analysis of the Roots blowers of the various molded lines, so that flow data of the Roots blowers of the various molded lines at the outlet of the Roots blowers at the rotating speed of 1450rpm and the boost value of 0.04MPa are obtained, and the flow data of the outlet gas of the novel molded line is the maximum compared with the flow of the outlet gas of the traditional molded line through comparison analysis, so that the novel Roots blower has obvious advantages; the blowing efficiency of the Roots blower adopting the improved involute shape is obviously improved compared with that of the traditional molded line.
Geometric parameters of various molded lines and gas flow at outlet
Figure BDA0003756040370000071
In conclusion, the radius-to-pitch ratio of the rotor molded line of the Roots blower reaches 1.61, the area utilization coefficient reaches 0.603, the Roots blower has good sealing performance, can provide larger air quantity, and improves the efficiency of the Roots blower; meanwhile, the rotor matching process can achieve full-section meshing and smooth transition of curves, and has the advantages of simple structure, design optimization and strong practicability.
Drawings
FIG. 1 is a novel impeller profile of the present invention;
fig. 2 is a diagram of a modified involute roots rotor meshing.
Detailed Description
In order to make the technical problems, technical schemes and beneficial effects to be solved more clear and obvious, the invention is further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
The invention provides a rotor with an improved involute type Roots rotor molded line, which comprises a rotor body and three ends which are distributed on the rotor body and uniformly distributed along the circumferential direction, wherein each end consists of a plurality of segments, each end is in an axisymmetric leaf shape, and the symmetrical half of each end consists of four parts of AB segment teeth Gu Yuanhu, BC segment involute, CD segment eccentric circular arcs and DE segment straight lines, and adjacent curves of the AB segment teeth Gu Yuanhu, the BC segment involute, the CD segment eccentric circular arcs and the DE segment straight lines are smoothly connected.
The parameter equation of the AB section tooth valley arc is as follows:
Figure BDA0003756040370000081
wherein: m is m 1 -the value of the abscissa of the center of the arc of the tooth valley of the AB segment, m 1 ＝0.43R m ，R m The outer circle radius of the impeller;
n 1 -the longitudinal coordinate value of the center of the circle of the tooth valley arc section of the AB section, n 1 ＝0.25R m ；
r 1 Radius of AB segment tooth valley arc segment, r 1 ＝0.26R m ；
α 1 -the angle corresponding to arc AB.
The BC segment involute is an involute, and the rectangular coordinate equation:
Figure BDA0003756040370000091
wherein: e-normal spacing before and after involute change;
R 0 -base radius of involute, R 0 ＝0.55R m ；
t is the sum of the involute pressure angle and the spread angle.
The eccentric arc CD is a transition section arc line for connecting the involute BC and the straight line DE, and the involute BC and the eccentric arc CD have the same tangent line at the end point C, and the parameter equation is as follows:
Figure BDA0003756040370000092
wherein: m is m 2 -the value of the abscissa, m, of the center of the circle of the eccentric arc CD segment 2 ＝-0.28R m ；
n 2 -the longitudinal coordinate value of the center of the circle of the eccentric arc CD segment, n 2 ＝-0.46R m ；
r 2 Radius of eccentric circular arc CD segment, r 2 ＝0.61R m ；
α 2 -the angle corresponding to the arc CD.
The DE tooth top straight line segment is a straight line segment perpendicular to the coordinate y axis, and the parameter equation is as follows:
Figure BDA0003756040370000093
wherein: x is x D -abscissa of D point, x D ＝R m ；
x E -abscissa of E point, x E ＝R m ；
L DE Length of DE straight line segment, L DE ＝0.015R m 。
The profile line formed by the four parts of the AB section tooth Gu Yuanhu, the BC section involute, the CD section eccentric arc and the DE section straight line is 1/6 of the improved involute type impeller profile line, and the complete profile line of the impeller can be obtained by mirroring, copying and rotating the profile line by 120 degrees.
The radius-to-pitch ratio of the modified involute roots rotor profile is 1.61, and the area utilization coefficient is 0.603.
When the two meshed rotors are used in the Roots blower, the center distance of the two rotors is 127mm, the gap between the two impellers is 0.2mm, the gap between the impellers and the wall surface is 0.2mm, the inlet and outlet diameters of the Roots blower are 40mm, and the outlet volume flow is 0.72121m 3 /s。
The coordinate values of the profile of the improved involute impeller are as follows:
Figure BDA0003756040370000101
/>
Figure BDA0003756040370000111
the invention relates to a design method of a rotor with an improved involute Roots rotor molded line, wherein the rotor with the improved involute Roots rotor molded line comprises a rotor body and three ends which are distributed on the rotor body and uniformly distributed along the circumferential direction, each end consists of a plurality of segments, the ends are axisymmetric leaf-shaped, and the symmetric half of the ends are formed by AB segment teeth Gu YuanhuThe BC section involute, the CD section eccentric arc and the DE section straight line; the parameter equation of the AB section tooth valley arc is as follows:
Figure BDA0003756040370000112
wherein: m is m 1 -the value of the abscissa of the center of the arc of the tooth valley of the AB segment, m 1 ＝0.43R m ，R m The outer circle radius of the impeller;
n 1 -the longitudinal coordinate value of the center of the circle of the tooth valley arc section of the AB section, n 1 ＝0.25R m ；
r 1 Radius of AB segment tooth valley arc segment, r 1 ＝0.26R m ；
α 1 -the angle corresponding to arc AB;
the BC segment involute is an involute, and the rectangular coordinate equation:
Figure BDA0003756040370000113
wherein: e-normal spacing before and after involute change;
R 0 -base radius of involute, R 0 ＝0.55R m ；
t is the sum of the involute pressure angle and the spread angle;
the eccentric arc CD is a transition section arc line for connecting the involute BC and the straight line DE, and the involute BC and the eccentric arc CD have the same tangent line at the end point C, and the parameter equation is as follows:
Figure BDA0003756040370000114
wherein: m is m 2 -the value of the abscissa, m, of the center of the circle of the eccentric arc CD segment 2 ＝-0.28R m ；
n 2 -the longitudinal coordinate value of the center of the circle of the eccentric arc CD segment, n 2 ＝-0.46R m ；
r 2 ——Radius of eccentric arc CD segment, r 2 ＝0.61R m ；
α 2 -the angle corresponding to arc CD;
the DE tooth top straight line segment is a straight line segment perpendicular to a coordinate y axis, and the parameter equation is as follows:
Figure BDA0003756040370000121
wherein: x is x D -abscissa of D point, x D ＝R m ；
x E -abscissa of E point, x E ＝R m ；
L DE Length of DE straight line segment, L DE ＝0.015R m ；
The profile line formed by four parts of the AB section tooth Gu Yuanhu, the BC section involute, the CD section eccentric arc and the DE section straight line is 1/6 of the improved involute type impeller profile line, and the complete profile line of the impeller can be obtained by mirroring, copying and rotating the profile line by 120 degrees.
Through experimental comparison, the maximum radius-to-distance ratio and the area utilization coefficient of different molded lines
Figure BDA0003756040370000122
The table shows that the diameter-to-distance ratio of the molded line Roots blower reaches 1.61, the area utilization coefficient reaches 0.603, which is incomparable with the traditional molded line, and the table shows that the blowing capacity of the novel molded line Roots blower is improved by 32% compared with the traditional molded line, and meanwhile, the complete meshing of involute and the smooth transition of curves of each section are ensured, so that the novel molded line Roots blower is a molded line with excellent performance.
In order to verify that the novel Roots blower rotor molded line can provide larger air quantity, CFD simulation software is used for modeling and simulation analysis of the Roots blowers of the various molded lines, so that flow data of the Roots blowers of the various molded lines at the outlet of the Roots blowers at the rotating speed of 1450rpm and the boost value of 0.04MPa are obtained, and the flow data of the outlet gas of the novel molded line is the maximum compared with the flow of the outlet gas of the traditional molded line through comparison analysis, so that the novel Roots blower has obvious advantages; the blowing efficiency of the Roots blower adopting the improved involute shape is obviously improved compared with that of the traditional molded line.
Geometric parameters of various molded lines and gas flow at outlet
Figure BDA0003756040370000131
In conclusion, the radius-to-pitch ratio of the rotor molded line of the Roots blower reaches 1.61, the area utilization coefficient reaches 0.603, the Roots blower has good sealing performance, can provide larger air quantity, and improves the efficiency of the Roots blower; meanwhile, the rotor matching process can achieve full-section meshing and smooth transition of curves, and has the advantages of simple structure, design optimization and strong practicability.
While the invention has been described above with reference to the accompanying drawings, it will be apparent that the invention is not limited to the above embodiments, but is capable of being modified or applied directly to other applications without modification, as long as various insubstantial modifications of the method concept and technical solution of the invention are adopted, all within the scope of the invention.

Claims (2)

1. A rotor having an improved involute roots rotor profile, characterized by: the rotor comprises a rotor body and three ends which are distributed on the rotor body and uniformly distributed along the circumferential direction, wherein each end consists of a plurality of segments, the ends are axisymmetric leaf-shaped, and the symmetric half edge of each end consists of four parts of AB segment teeth Gu Yuanhu, BC segment involute, CD segment eccentric circular arcs and DE segment straight lines; the parameter equation of the AB section tooth valley arc is as follows:
Figure FDA0004157531450000011
wherein: m is m 1 -the value of the abscissa of the center of the arc of the tooth valley of the AB segment, m 1 ＝0.43R m ，R m The outer circle radius of the impeller;
n 1 -the longitudinal coordinate value of the center of the circle of the tooth valley arc section of the AB section, n 1 ＝0.25R m ；
r 1 Radius of AB segment tooth valley arc segment, r 1 ＝0.26R m ；
α 1 -the angle corresponding to arc AB;
the BC segment involute is an involute, and the rectangular coordinate equation:
Figure FDA0004157531450000012
wherein: e-normal spacing before and after involute change;
R 0 -base radius of involute, R 0 ＝0.55R m ；
t is the sum of the involute pressure angle and the spread angle;
the eccentric arc CD is a transition section arc line for connecting the involute BC and the straight line DE, and the involute BC and the eccentric arc CD have the same tangent line at the end point C, and the parameter equation is as follows:
Figure FDA0004157531450000013
wherein: m is m 2 -the value of the abscissa, m, of the center of the circle of the eccentric arc CD segment 2 ＝-0.28R m ；
n 2 -the longitudinal coordinate value of the center of the circle of the eccentric arc CD segment, n 2 ＝-0.46R m ；
r 2 Radius of eccentric circular arc CD segment, r 2 ＝0.61R m ；
α 2 -the angle corresponding to arc CD;
the DE tooth top straight line segment is a straight line segment perpendicular to a coordinate y axis, and the parameter equation is as follows:
Figure FDA0004157531450000014
wherein: x is x D -abscissa of D point, x D ＝R m ；
x E -abscissa of E point, x E ＝R m ；
L DE Length of DE straight line segment, L DE ＝0.015R m ；
The profile line formed by four parts of the AB section tooth Gu Yuanhu, the BC section involute, the CD section eccentric arc and the DE section straight line is 1/6 of the improved involute impeller profile line, and the complete profile line of the impeller can be obtained by mirroring, copying and rotating the profile line by 120 degrees; the radius-to-pitch ratio of the improved involute Roots rotor molded line is 1.61, and the area utilization coefficient is 0.603; when the two meshed rotors are used in the Roots blower, the center distance of the two rotors is 127mm, the gap between the two impellers is 0.2mm, the gap between the impellers and the wall surface is 0.2mm, the inlet and outlet diameters of the Roots blower are 40mm, and the outlet volume flow is 0.72121m 3 S; the improved involute profile coordinate values:
Figure FDA0004157531450000021
/>
Figure FDA0004157531450000031
2. a method of designing a rotor having an improved involute roots rotor profile, comprising: the rotor with the improved involute Roots rotor molded line comprises a rotor body and three ends which are distributed on the rotor body and uniformly distributed along the circumferential direction, each end consists of a plurality of segments, each end is in an axisymmetric leaf shape, and the symmetrical half edge of each end consists of four parts of AB segment teeth Gu Yuanhu, BC segment involute, CD segment eccentric circular arcs and DE segment straight lines; the parameter equation of the AB section tooth valley arc is as follows:
Figure FDA0004157531450000032
wherein: m is m 1 -the value of the abscissa of the center of the arc of the tooth valley of the AB segment, m 1 ＝0.43R m ，R m The outer circle radius of the impeller;
n 1 -the longitudinal coordinate value of the center of the circle of the tooth valley arc section of the AB section, n 1 ＝0.25R m ；
r 1 Radius of AB segment tooth valley arc segment, r 1 ＝0.26R m ；
α 1 -the angle corresponding to arc AB;
the BC segment involute is an involute, and the rectangular coordinate equation:
Figure FDA0004157531450000033
wherein: e-normal spacing before and after involute change;
R 0 -base radius of involute, R 0 ＝0.55R m ；
t is the sum of the involute pressure angle and the spread angle;
the eccentric arc CD is a transition section arc line for connecting the involute BC and the straight line DE, and the involute BC and the eccentric arc CD have the same tangent line at the end point C, and the parameter equation is as follows:
Figure FDA0004157531450000041
wherein: m is m 2 -the value of the abscissa, m, of the center of the circle of the eccentric arc CD segment 2 ＝-0.28R m ；
n 2 -the longitudinal coordinate value of the center of the circle of the eccentric arc CD segment, n 2 ＝-0.46R m ；
r 2 Radius of eccentric circular arc CD segment, r 2 ＝0.61R m ；
α 2 -arc of a circleThe included angle corresponding to the CD;
the DE tooth top straight line segment is a straight line segment perpendicular to a coordinate y axis, and the parameter equation is as follows:
Figure FDA0004157531450000042
wherein: x is x D -abscissa of D point, x D ＝R m ；
x E -abscissa of E point, x E ＝R m ；
L DE Length of DE straight line segment, L DE ＝0.015R m ；
The profile line formed by four parts of the AB section tooth Gu Yuanhu, the BC section involute, the CD section eccentric arc and the DE section straight line is 1/6 of the improved involute type impeller profile line, and the complete profile line of the impeller can be obtained by mirroring, copying and rotating the profile line by 120 degrees.
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CN102635550B (en) * 2012-05-12 2015-05-20 福州大学 Novel Roots blower rotor profile
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