CN211422908U - Outer straight rotor for high-energy Roots pump - Google Patents
Outer straight rotor for high-energy Roots pump Download PDFInfo
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- CN211422908U CN211422908U CN201922117178.5U CN201922117178U CN211422908U CN 211422908 U CN211422908 U CN 211422908U CN 201922117178 U CN201922117178 U CN 201922117178U CN 211422908 U CN211422908 U CN 211422908U
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Abstract
The utility model discloses a high energy roots pump is with outer straight rotor, including rotor body and conjugate body the same completely with it, the profile of rotor body is by circumference array setting behind the half impeller profile mirror image, the half impeller profile comprises first circular arc section, first transition circular arc section, second transition circular arc section, straightway, the first curve section, the second curve section and the second circular arc section of pitch circle inboard outside the pitch circle; rotor apical axis and the nodical of pitch circle are crossed to the starting point normal of straightway, and the terminal point is located the pitch circle, and its precipitous degree is determined by the contained angle between starting point normal and rotor apical axis is only, the utility model discloses simple structure, through the utility model discloses a rotor profile can realize the bigger form factor of rotor and the volume utilization coefficient that corresponds, and the internal leakage rate that reduces is especially radial leakage rate and conjugate leakage.
Description
Technical Field
The utility model relates to a rotor for pump, concretely relates to outer straight rotor for high energy roots pump.
Background
The roots pump is a variable displacement vacuum pump, which is called a rotary displacement pump, and has two blade-shaped rotors rotating synchronously in opposite directions in the pump, and small gaps are formed among the rotors and between the rotors and the inner wall of a pump shell without contacting each other.
The volumetric utilization of the roots pump is equal to the rotor volumetric utilization factor × (1-internal leakage rate), wherein the rotor volumetric utilization factor λ ≈ 1-1 ≈ 4 @2The larger the shape factor defined by "═ top maximum radius/pitch circle radius", the higher the volume utilization factor λ. Meanwhile, the existing research also shows that for the same leakage gap, the larger the form factor is, the larger the comprehensive curvature radius at the leakage gap is, and the lower the leakage rate therein is.
At present, in the aspect of conjugate internal leakage, three forms of convex-convex (such as an involute rotor profile), flat-convex (such as a linear rotor profile) and concave-convex (such as a cycloid rotor profile) are shared, as shown in fig. 1, from the effect of inhibiting conjugate internal leakage, the concave-convex form (such as the cycloid rotor profile) is superior to the flat-convex form (such as the linear rotor profile), and the flat-convex form (such as the linear rotor profile) is superior to the convex-convex form (such as the involute rotor profile); in view of this, the linear rotor is more applied to the occasion that the multistage tandem roots pump and the like require a thick shaft, but the linear section profile of the linear rotor is positioned on the inner side of the rotor pitch circle, which is called as the inner linear rotor for short, as shown in fig. 2, as can be seen from fig. 2, the shape coefficient of the inner linear rotor is very small because the linear section profile of the linear rotor is positioned on the inner side of the rotor pitch circle; since the two-lobe case is 1.293, the three-lobe case is 1.134, and the four-lobe case is 1.076, only the inner straight rotor of the two-lobe case is used, and the leakage rate in the two-lobe case is large for the same leakage gap.
SUMMERY OF THE UTILITY MODEL
The utility model discloses it is not enough in to the background art, designed a high energy roots pump is with outer straight rotor, aim at: by arranging the straight line segment profile outside the pitch circle and further improving the shape factor of the profile, the shape factor of the rotor is maximized to improve the volume utilization rate and reduce the internal leakage rate.
The purpose of the utility model is realized through the following ways:
an outer straight rotor for a high-energy Roots pump comprises a rotor body and a conjugate body completely identical to the rotor body, wherein the profile of the rotor body is arranged in a circumferential array mode after being mirrored by a half impeller profile, and the half impeller profile consists of a first arc section, a first transition arc section, a second transition arc section, a straight line section, a first curve section, a second curve section and a second arc section which are arranged on the outer side of a pitch circle; the normal of the starting point of the straight line section passes through the intersection point of the rotor top axis and the pitch circle, the end point is positioned on the pitch circle, the steepness degree of the straight line section is uniquely determined by the included angle between the normal of the starting point and the rotor top axis, the first curve section of the inner side of the pitch circle is uniquely determined by the straight line section on the conjugate body through the conjugate relation between the straight line section and the rotor top axis, the second curve section of the inner side of the pitch circle is uniquely determined by the end contour point of the first arc section on the outer side of the pitch circle on the conjugate body through the conjugate relation between the straight line section and the pitch circle, and the second arc section of the inner side of the pitch circle is determined by the first.
Further, let the ending contour point of the first arc segment outside the pitch circle be 2, the ending contour point of the first curve segment inside the pitch circle, which is not located on the pitch circle, be 6, the rotor center o of the first arc segment outside the pitch circle, the radius be raThe radius raIs uniquely determined by the geometric relationship between a preset central angle for controlling radial leakage and a contour point 2 on the conjugate body which just avoids a contour point 6 on a first curve section on the inner side of a pitch circle of the body, and the center of a first transition arc section on the outer side of the pitch circle is set as o23The circle center of the second transition arc section is o34The first transition arc section and the circle center o thereof23Radius between the first transition arc section and the circle center o34The radius between the two is equal, the included angle is α, the central angle is ζ, 1 is a vertex, 8 is a valley point, the shape coefficient of the rotor is, the conjugate center o ', θ is a back-off angle, N represents the number of rotor blades, the main body vertex axis is represented by o1, o '8 represents the conjugate valley axis, oo ' represents the central connecting line of the main body and the conjugate.
Further, the position where the body top axis o1 and the conjugate body valley axis o '8 are superposed on the center line oo' is taken as the starting position of the conjugate rotational movement; after the counterclockwise conjugate rotation is performed by a certain avoidance angle theta, the conjugate body contour point 6 coincides with the body contour point 2, and the position at this time is defined as an avoidance limit position point 6 (2). At this time, a triangle o6(2) o 'is constructed by the body center o, the conjugate center o' and the avoidance limit position point 6(2), and the geometrical relationship of the triangle is obtained
Then, the form factor of the rotor is
In the above formula, r represents a pitch circle radius, r6Represents the distance from the contour point 6 on the conjugate to its center o', α6Indicating the angle between 6 and o' 8.
Further, since the body is identical to the conjugate, r on the conjugate6And α6Can be determined by the geometric dimension of the straight line segment outside the pitch circle on the body.
Further, the starting included angle controls the steepness degree of a straight line segment on the outer side of the pitch circle, the shape coefficient of the rotor body determined by the steepness degree and the central angle, and the larger the starting included angle is, the steeper the rotor is, the smaller the central angle is, and the larger the shape coefficient is.
Further, based on the conjugate geometrical relationship between the straight line segment outside the pitch circle and the curve segment on the conjugate body, and based on the limit relationship that the conjugate body curve segment does not have geometrical interference such as 'corner points', the included angle α is 48.2732 degrees when N is two, 51.7380 degrees when N is three, 56.4062 degrees when N is four,
further, on the premise that the central angle σ is given in advance, the conjugate body contour point 2 gets away from the extreme geometric relationship of the body contour point 6, and the change rule of (σ) - σ is obtained as shown in the following table.
| σ/° | 0 | 1 | 2 | 3 | 4 | 5 |
| ε(N＝2) | 1.4472 | 1.4299 | 1.4125 | 1.3950 | 1.3773 | 1.3596 |
| ε(N＝3) | 1.4327 | 1.4145 | 1.3961 | 1.3775 | 1.3588 | 1.3399 |
| ε(N＝4) | 1.4091 | 1.3897 | 1.3700 | 1.3501 | 1.3298 | 1.3093 |
Further, as can be seen from the change rule table of (ζ) - ζ, the (ζ) - ζ has an extremely strong linear correlation. Then, the fitting of the outer straight rotor shape coefficient is obtained by the function of the above table data and the "insert chart → X Y scatter chart → add trend line → display formula" in the EXCEL table
Further, the corresponding volume utilization coefficient of the outer straight rotor is as follows:
the above-mentionedAnd the straight line segment type coefficient of the outer straight rotor is 0.025, and is obtained by further calculation after the actual measurement result of the 3D model of the outer straight rotor.
The utility model has the advantages that:
the utility model has the advantages of simple structure, through the utility model discloses a rotor profile can realize the bigger form factor of rotor and the volume utilization coefficient that corresponds, and the internal leakage rate that reduces especially radially leaks rate and conjugate leakage.
Drawings
The present invention will be described in further detail with reference to the accompanying drawings:
FIG. 1 is a schematic diagram of three conjugated forms of rotor profile;
FIG. 2 is a schematic view of a prior art inner straight rotor profile;
FIG. 3 is a schematic view of the outline structure of the outer straight rotor of the present invention;
fig. 4 is a schematic structural diagram of the outer straight rotor body of the present invention, in which the contour point 2 avoids the conjugate body contour point 6;
FIG. 5 is a schematic view of the outline structure of the two-blade outer straight rotor of the present invention;
FIG. 6 is a schematic view of the three-blade outer straight rotor of the present invention;
fig. 7 is a schematic view of the outline structure of the four-blade outer straight rotor of the present invention.
In the figure, 1, a vertex, 2, another contour endpoint on the first arc segment, which is not the vertex, and 3, a circumscribed contour point of the first transition arc segment and the second transition arc segment outside the pitch circle; 4. the starting contour point of the pitch circle outside straight line segment, 5, the termination node of the pitch circle outside straight line segment, 6, the termination contour point of the pitch circle inside first curve segment, 7, the tangent point of the pitch circle inside second curve segment and the second arc segment, 8, the valley point, 12, the pitch circle outside first arc segment, 23, the pitch circle outside first transition arc segment, 34, the pitch circle outside second transition arc segment, 45, the pitch circle outside straight line segment, 56, the pitch circle inside first curve segment, 67, the pitch circle inside second curve segment, 78, the pitch circle inside second arc segment. r, pitch circle radius, r6The distance from the contour point 6 on the conjugate to its center o', α6Denotes an angle between 6o ' and o '8, o, a body center, o ', a conjugate center, α, an initial angle, ζ, a central angle, θ, a receding angle, o23Center of the first transition arc section outside the pitch circle, o34The center of the second transition arc section outside the pitch circle and the intersection point of the pitch circle and the top shaft, o67The center of the second curve section at the inner side of the pitch circle and the intersection point of the pitch circle and the valley axis raAnd the radius of the first arc section outside the pitch circle.
Detailed Description
The present invention will be further described with reference to the accompanying drawings.
As shown in fig. 3, the utility model discloses a high energy roots pump is with outer straight rotor, including rotor body and the conjugate body identical with it, rotor body's profile is circumference array setting behind by half impeller profile mirror image, half impeller profile is by first circular arc section 12, first transition circular arc section 23, second transition circular arc section 34, straightway 45, the inboard first curve section 56 of pitch circle, the inboard second of pitch circle outsideA curve section 67 and a second arc section 78, the rotor center o of the first arc section outside the pitch circle is set as the radius raSetting the center of the first transition arc section outside the pitch circle as o23The circle center of the second transition arc section is o34The normal 4o of the starting point of the straight line segment 45 can be obtained by setting the included angle to α and the central angle to ζ34Crossing the intersection o of the rotor top shaft and the pitch circle34The end point 5 is located on the pitch circle and steeply runs from the starting point normal 4o34An included angle α between the first curve segment 56 and the rotor top axis is uniquely determined, the first curve segment 56 on the inner side of the pitch circle is uniquely determined by the straight line segment 45 on the outer side of the pitch circle on the conjugate body (note: the contour is the contour of the body and the conjugate body because the contour is completely the same, the contour is the contour of the body and the conjugate body, and the identification of the contour segments on the contour is consistent), the second curve segment 78 on the inner side of the pitch circle is determined by the conjugate relation between the first curve segment 12 on the conjugate body, as shown in FIG. 4, o ' is the center of the conjugate body, theta is the back-off angle, N is the number of rotor blades, o1 is the top axis of the body, o '8 is the valley axis of the conjugate body, oo ' is the central connecting line of the body and the conjugate body, 2 is the other contour end point of the non-vertex on the first curve segment, 6 is the end contour point of the first curve segment on the inner side of the pitch circle, and the second curve segment 67 on the inner side of the pitch circle is determined by the contour point 2 on the conjugate body and the conjugate relation betweenaUniquely determined by the geometric relationship between the central angle ζ given for controlling radial leakage and the contour point 6 on the exact-avoiding conjugate body, the first transition circular arc segment 23 and its center o23Radius between the first transition arc section and the circle center o34The radius between them is equal, as shown in fig. 4, the position when the body top axis o1 and the conjugate body valley axis o '8 are superposed on the central connecting line oo' is taken as the starting position of the conjugate rotational movement; after rotating a certain angle theta in a counterclockwise conjugate manner, the conjugate body contour point 6 is superposed with the body contour point 2, the position at this time is taken as an avoidance limit position point 6(2), and at this time, a triangle o6(2) o 'is constructed through the body center o, the conjugate body center o' and the avoidance limit position point 6(2), and the triangle geometric relationship can be obtained through the triangle geometric relationship
Said r represents the pitch circle radius, r6Indicating the distance from the contour point 6 on the conjugate to its center o' α6Denotes the angle between 6o 'and o'8, r on the conjugate due to the identity of the body and the conjugate6And α6Can be determined by the geometric dimension of the straight line segment outside the pitch circle on the body, as shown in figure 3, 6 DEG67Length of (2) and 4 DEG34Are equal in length and are respectively set to rho6、ρ4And ρ is6＝ρ4Additionally set 5o34Length of (1) is ρ6. Then by triangle 5oo34The geometric relationship of
Composed of a right triangle 54o34The geometric relationship of
Composed of a triangle 6o67o geometric relationship of
Will be composed of a triangle 6o67Equation r derived from o geometric relationship6R and α6The avoidance angles theta (sigma, N) and r can be uniquely solved by substituting the triangle o6(2) o' into the formulaaR (σ, N), the shape factor of the outer straight rotor is
The initial included angle controls the steepness degree of a straight line section on the outer side of a pitch circle, the shape coefficient of a rotor body is determined by the steepness degree and a central angle, the larger the initial included angle is, the steeper the rotor is, the smaller the central angle is, the larger the shape coefficient is, based on the conjugate geometric relationship existing between the straight line section on the outer side of the pitch circle and a curve section on a conjugate body, according to the limit relationship that the curve section of the conjugate body does not have geometric interference such as 'angular points', when N is two, the included angle alpha is 48.2732 degrees, when N is three, the included angle alpha is 51.7380 degrees, when N is four, the included angle alpha is 56.4062 degrees, on the premise that the central angle sigma is preset, the conjugate body contour point 2 avoids the limit geometric relationship of the body contour point 6, and the change rule of (sigma) -sigma is as shown in the following table.
| σ/° | 0 | 1 | 2 | 3 | 4 | 5 |
| ε(N＝2) | 1.4472 | 1.4299 | 1.4125 | 1.3950 | 1.3773 | 1.3596 |
| ε(N＝3) | 1.4327 | 1.4145 | 1.3961 | 1.3775 | 1.3588 | 1.3399 |
| ε(N＝4) | 1.4091 | 1.3897 | 1.3700 | 1.3501 | 1.3298 | 1.3093 |
As shown in the above table, if (σ) - σ has a very strong linear correlation, the fitting of the shape coefficient of the outer straight rotor is obtained by the function of the data in the above table and the "insert diagram → X Y scatter diagram → increase trend line → display formula" in the EXCEL table
The corresponding volume utilization coefficient of the outer straight rotor is as follows:
the above-mentionedThe straight line section type coefficient of the outer straight rotor is 0.025, the straight line section type coefficient is obtained by further calculation after the actual measurement result of the 3D model of the outer straight rotor, after the checking calculation, the fitting value and the corresponding accurate value obtained by fitting the outer straight shape coefficient are fitted, the fitting error is not more than 0.2 percent, the comparison is facilitated, and the shape coefficient and the corresponding volume utilization coefficient of the inner straight rotor are
The above-mentioned′The linear section type coefficient of the inner straight rotor is 0.045, and the coefficient is represented by sigmaTaking an example of a 2 ° outer straight rotor, the corresponding capacity utilization coefficient is 0.486 when the number of rotor blades is two, 0.474 when the number of rotor blades is three, 0.453 when the number of rotor blades is four, and 0.097 when the number of rotor blades is two, 1.299 λ 'when the number of rotor blades is three, 0.187 when the number of rotor blades is three, and 4.67 λ' when the number of rotor blades is four, compared with the roots's having a two rotor blades, a 1.299 λ' when the number of rotor blades is three, a 2.535 λ 'when the number of rotor blades is three, a larger outer straight rotor shape coefficient, a higher capacity utilization ratio, a lower sensitivity of λ to the number of blades N, and a higher pulsation of the rotor, and a corresponding pump mass when the number of lobes is 3, the roots' have a higher mass utilization coefficient, The performance of the outer straight rotor with 2 deg. and the common involute rotor with the same shape coefficient are compared and analyzed, as shown in the following table.
| Type of contour | Coefficient of mass | Coefficient of volume utilization | Coefficient of pulsation |
| Outer straight line | 0.6614 | 0.4732 | 0.06370 |
| Involute curve | 0.7072 | 0.4601 | 0.06552 |
From the table, the mass center coefficient is the ratio of the distance from the mass center of the single blade to the wheel center to the pitch circle radius, and can be measured by a 3D model of the single blade, so that the mass center of the outer straight rotor blade obviously deviates to the valley, the dynamic balance performance of the rotor system is good, the volume utilization coefficient is high, and the pulsation quality is good.
In addition, the first arc section 12 in pitch circle outside has constituted the leakage structure in concentric equal gap with the arc surface in the pump case to reduced radial leakage rate, to sum up, adopt the utility model discloses can obtain bigger form factor and rather than corresponding volume utilization coefficient, reduce the especially radial leakage rate of leakage rate and conjugate leakage rate of internal leakage rate, in addition, the utility model discloses better dynamic balance performance and pulsation quality have.
Claims (3)
1. The utility model provides a high energy roots pump is with outer straight rotor, includes rotor body and conjugate identical with it, its characterized in that: the rotor comprises a rotor body and a rotor body, wherein the rotor body is formed by mirroring half impeller profiles and arranging the half impeller profiles in a circumferential array, and the half impeller profiles are composed of a first arc section, a first transition arc section, a second transition arc section, a straight line section, a first curve section, a second curve section and a second arc section on the outer side of a pitch circle; the normal of the starting point of the straight line section passes through the intersection point of the rotor top axis and the pitch circle, the end point is positioned on the pitch circle, the steepness degree of the straight line section is uniquely determined by the included angle between the normal of the starting point and the rotor top axis, the first curve section of the inner side of the pitch circle is uniquely determined by the straight line section on the conjugate body through the conjugate relation between the straight line section and the rotor top axis, the second curve section of the inner side of the pitch circle is uniquely determined by the end contour point of the first arc section on the outer side of the pitch circle on the conjugate body through the conjugate relation between the straight line section and the pitch circle, and the second arc section of the inner side of the pitch circle is determined by the first.
2. The outer straight rotor for the high-energy roots pump as claimed in claim 1, wherein: further, based on the conjugate geometric relationship between the straight line segment outside the pitch circle and the curve segment on the conjugate body, and based on the limit relationship that the conjugate body curve segment does not have geometric interference such as "corner points", it can be obtained that when N is two, the included angle α is 48.2732 degrees, when N is three, the included angle α is 51.7380 degrees, and when N is four, the included angle α is 56.4062 degrees.
3. The outer straight rotor for the high-energy roots pump as claimed in claim 2, wherein: further, under the premise that the central angle sigma is given in advance, the conjugate body contour point is avoided from the limit geometric relation of the body contour point, and the change rule of the shape coefficient sigma-sigma of the outer straight rotor is obtained as the following table.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201922117178.5U CN211422908U (en) | 2019-11-29 | 2019-11-29 | Outer straight rotor for high-energy Roots pump |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201922117178.5U CN211422908U (en) | 2019-11-29 | 2019-11-29 | Outer straight rotor for high-energy Roots pump |
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| Publication Number | Publication Date |
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| CN211422908U true CN211422908U (en) | 2020-09-04 |
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| CN201922117178.5U Withdrawn - After Issue CN211422908U (en) | 2019-11-29 | 2019-11-29 | Outer straight rotor for high-energy Roots pump |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110878753A (en) * | 2019-11-29 | 2020-03-13 | 宿迁学院 | Outer straight rotor for high-energy Roots pump |
| CN115095520A (en) * | 2022-07-20 | 2022-09-23 | 北京通嘉宏瑞科技有限公司 | Roots vacuum pump rotor capable of inhibiting radial leakage, vacuum pump and working method of vacuum pump |
-
2019
- 2019-11-29 CN CN201922117178.5U patent/CN211422908U/en not_active Withdrawn - After Issue
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110878753A (en) * | 2019-11-29 | 2020-03-13 | 宿迁学院 | Outer straight rotor for high-energy Roots pump |
| CN110878753B (en) * | 2019-11-29 | 2024-05-10 | 宿迁学院 | Outer straight rotor for high-energy Roots pump |
| CN115095520A (en) * | 2022-07-20 | 2022-09-23 | 北京通嘉宏瑞科技有限公司 | Roots vacuum pump rotor capable of inhibiting radial leakage, vacuum pump and working method of vacuum pump |
| CN115095520B (en) * | 2022-07-20 | 2024-04-09 | 北京通嘉宏瑞科技有限公司 | Roots vacuum pump rotor capable of inhibiting radial leakage, vacuum pump and working method of vacuum pump |
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Effective date of registration: 20211217 Address after: 641400 No. 8, longhui Road, Jiancheng, Jianyang, Chengdu, Sichuan Patentee after: SICHUAN WUHUAN PETROCHEMICAL EQUIPMENT Co.,Ltd. Address before: No. 399, Huanghe South Road, Sucheng District, Suqian City, Jiangsu Province Patentee before: SUQIAN College |
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Granted publication date: 20200904 Effective date of abandoning: 20240510 |