CN103016398A - Centrifugal impeller flow passage design method for controlling curvature distribution - Google Patents
Centrifugal impeller flow passage design method for controlling curvature distribution Download PDFInfo
- Publication number
- CN103016398A CN103016398A CN2012105463975A CN201210546397A CN103016398A CN 103016398 A CN103016398 A CN 103016398A CN 2012105463975 A CN2012105463975 A CN 2012105463975A CN 201210546397 A CN201210546397 A CN 201210546397A CN 103016398 A CN103016398 A CN 103016398A
- Authority
- CN
- China
- Prior art keywords
- line
- curvature
- wheel hub
- wheel
- wheel cap
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Images
Landscapes
- Structures Of Non-Positive Displacement Pumps (AREA)
Abstract
The invention belongs to a fluid mechanical design modeling method and particularly relates to a centrifugal impeller flow passage design method for controlling the curvature distribution. A meridional flow passage of a centrifugal impeller comprises the following design steps that the parametric forming is realized through controlling the axial distribution of the curvature of a wheel cover line and a wheel hub line; and then, an obtained wheel cover and an obtained wheel hub curve rotate for 360 degrees around a rotating shaft, and a wheel cover surface and a wheel hub surface are obtained. The design method has the advantages that the proper curvature distribution rule can be flexibly selected according to the flowing work applying condition of the centrifugal impeller through controlling the curvature of the flow passage curves, the work apply efficiency and the stable work boundary of the centrifugal impeller are improved, and the design method can be widely applied to various kinds of centrifugal and inclined flow type impeller mechanical flowing designs.
Description
Technical field
The invention belongs to fluid machinery design model method, be specifically related to a kind of centrifugal impeller runner design method of controlling curvature distribution.
Background technique
Receded disk impeller machinery is a core component of aircraft jet engine, and is widely used in the function conversion field of various fluid compressions or fluid expansion.The design of the meridional channel of receded disk impeller machinery is very large on the impact of receded disk impeller mechanical property.But the meridional channel design never has clear and definite design criterion, generally relies on designer's experience, and it is larger to design subjective randomness.Conventional wheel cap line, wheel hub line design method generally adds the straight line method by circular arc and is formed by connecting at present.This design is easy to cause flow losses, reduces the mechanical efficiency of receded disk impeller machinery.
Summary of the invention
The purpose of this invention is to provide a kind of centrifugal impeller runner design method of controlling curvature distribution, have good mobile performance, can improve the function mechanical efficiency of receded disk impeller machinery.
The technical solution used in the present invention is:
The meridional channel of this centrifugal impeller is formed by wheel cap line, wheel hub line, inlet line, egress line envelope, and design procedure is:
(1) by control wheel cap line, the distribution in the axial direction of wheel hub line curvature, come parametrization to form; Wheel cap line and the wheel hub curvature of a curve regularity of distribution, adopt following formula to determine:
,
Wherein, C (m) is wheel cap line or wheel hub curvature of a curve, and m is the dimensionless length of wheel cap line or wheel hub line; μ is that the maximum curvature place flows to the dimensionless position, and the preferred value of μ is 0.4 ~ 0.6; A is the dimensionless amplitude of wheel cap line or wheel hub line curvature, and
, R wherein
2It is the port radius that of centrifugal impeller;
The concrete steps of determining wheel cap line and wheel hub line are:
(101) determine respectively 4 endpoint locations of wheel cap line and wheel hub line according to the one dimension computational methods that flow;
(102) the wheel cap line is divided into n(50≤n≤200) section, determine n-1 the axial coordinate of putting except two-end-point, according to the curvature k of first point and this coordinate (Z
1, R
1), determine the coordinate (Z of second point
2, R
2); Then with curvature k and this point coordinates of second point, determine the coordinate (Z of the 3rd point
3, R
3); By that analogy, obtain the coordinate that the wheel cap line is had a few;
(103) n+1 point on the wheel cap line that obtains used smooth curve, just can obtain smooth wheel cap curve;
(104) method of employing step (102) and (103) obtains the wheel hub curve;
(2) the wheel cap curve that is obtained by step (1), wheel hub curve rotate 360 ° around running shaft, obtain taking turns capping and wheel hub surface.
Described wheel hub line maximum curvature radius amplitude A is 0.3 ~ 0.8 times of wheel cap line maximum curvature.
The present invention has following beneficial effect:
Curvature by the control passage curve, can be according to the mobile acting situation of centrifugal impeller, the curvature distribution rule that flexible choice is suitable, the control centrifugal impeller flows load in axial distribution, improve the stable operation border of mechanical efficiency and centrifugal impeller, can be widely used in the flow design of various centrifugal, mixed flow compressor tools.
Description of drawings
Fig. 1 is structural principle sketch of the present invention.
Fig. 2 is the schematic representation of meridional channel among Fig. 1.
Fig. 3 is typical curvature distribution figure of the invention process.
Number in the figure:
1-wheel cap line; 2-wheel hub line; The 3-inlet line; The 4-egress line.
Embodiment
The invention provides a kind of centrifugal impeller runner design method of controlling curvature distribution, the present invention will be further described below in conjunction with the drawings and specific embodiments.
The axial longitudinal section of receded disk impeller machinery generally is referred to as meridional channel.This meridional channel is formed by wheel cap line 1, wheel hub line 2, inlet line 3 and egress line 4 envelopes, as depicted in figs. 1 and 2.
The design procedure of this meridional channel is:
(1) according to formula
Determine wheel cap line curvature distribution curve, get μ=0.5, A=0.03, m is in interval [0,1], and e is natural constant 2.718, therefore obtains the distribution curve of C shown in wheel cap curvature among Fig. 3.
(101) get n=100 point at the curvature distribution line, determine the curvature value that curve point is required as next step, as shown in the table.
m% | C | m% | |
|
1 | 0.011088 | 51 | 1.347303 | |
2 | 0.013462 | 52 | 1.339243 | |
3 | 0.016279 | 53 | 1.325917 | |
4 | 0.019606 | 54 | 1.307484 | |
5 | 0.02352 | 55 | 1.28416 | |
6 | 0.028103 | 56 | 1.256217 | |
7 | 0.033444 | 57 | 1.223976 | |
8 | 0.039641 | 58 | 1.187802 | |
9 | 0.046799 | 59 | 1.148096 | |
10 | 0.055029 | 60 | 1.105287 | |
11 | 0.064448 | 61 | 1.059826 | |
12 | 0.075178 | 62 | 1.012178 | |
13 | 0.087344 | 63 | 0.962814 | |
14 | 0.101075 | 64 | 0.912201 | |
15 | 0.116496 | 65 | 0.860798 | |
16 | 0.133735 | 66 | 0.809049 | |
17 | 0.152912 | 67 | 0.757376 | |
18 | 0.17414 | 68 | 0.706173 | |
19 | 0.197524 | 69 | 0.655803 | |
20 | 0.223153 | 70 | 0.606594 | |
21 | 0.251102 | 71 | 0.558838 | |
22 | 0.281423 | 72 | 0.512787 | |
23 | 0.314147 | 73 | 0.468652 | |
24 | 0.349275 | 74 | 0.426606 | |
25 | 0.386781 | 75 | 0.386781 | |
26 | 0.426606 | 76 | 0.349275 | |
27 | 0.468652 | 77 | 0.314147 |
28 | 0.512787 | 78 | 0.281423 | |
29 | 0.558838 | 79 | 0.251102 | |
30 | 0.606594 | 80 | 0.223153 | |
31 | 0.655803 | 81 | 0.197524 | |
32 | 0.706173 | 82 | 0.17414 | |
33 | 0.757376 | 83 | 0.152912 | |
34 | 0.809049 | 84 | 0.133735 | |
35 | 0.860798 | 85 | 0.116496 | |
36 | 0.912201 | 86 | 0.101075 | |
37 | 0.962814 | 87 | 0.087344 | |
38 | 1.012178 | 88 | 0.075178 | |
39 | 1.059826 | 89 | 0.064448 | |
40 | 1.105287 | 90 | 0.055029 | |
41 | 1.148096 | 91 | 0.046799 | |
42 | 1.187802 | 92 | 0.039641 | |
43 | 1.223976 | 93 | 0.033444 | |
44 | 1.256217 | 94 | 0.028103 | |
45 | 1.28416 | 95 | 0.02352 | |
46 | 1.307484 | 96 | 0.019606 | |
47 | 1.325917 | 97 | 0.016279 | |
48 | 1.339243 | 98 | 0.013462 | |
49 | 1.347303 | 99 | 0.011088 | |
50 | 1.35 | 100 | 0.009096 |
(102) determine respectively that according to the mobile computational methods of one dimension wheel cap line two ends point coordinates is (75,78.5) (8.4,118), the two ends point coordinates of wheel hub line is (75,30) (0,118);
(103) the wheel cap line is divided into 100 sections, determines the axial coordinate of 99 points except two-end-point, according to the curvature C of first point and this coordinate (Z
1, R
1), determine the coordinate (Z of second point
2, R
2); Then with curvature C and this point coordinates of second point, determine the coordinate (Z of the 3rd point
3, R
3); By that analogy, obtain the coordinate that the wheel cap line is had a few;
Z | R |
-75 | 78.5 |
-73.43502035 | 78.49837151 |
-71.87004041 | 78.49723887 |
-70.30506015 | 78.49660208 |
-68.81463966 | 78.4964566 |
-67.36149893 | 78.49674775 |
-65.90835897 | 78.49794052 |
-64.49041769 | 78.50043056 |
-63.1428718 | 78.50401094 |
-61.79532991 | 78.50902705 |
-60.4478 | 78.5163 |
-59.19965419 | 78.52510629 |
-57.95152095 | 78.53598324 |
-56.70342316 | 78.54997346 |
-55.51736745 | 78.56645111 |
-54.36234894 | 78.58547891 |
-53.2074032 | 78.6083379 |
-52.0814135 | 78.63517143 |
-51.01321625 | 78.66477902 |
-49.94514409 | 78.69888829 |
-48.8773 | 78.739 |
-47.88962662 | 78.781556 |
-46.90216959 | 78.82948334 |
-45.91511564 | 78.88454202 |
-44.97727118 | 78.943993 |
-44.06420693 | 79.00856366 |
-43.1517497 | 79.08104449 |
-42.26209545 | 79.16068784 |
-41.41715175 | 79.24455363 |
-40.57306032 | 79.33702157 |
-39.7303 | 79.4402 |
-38.9472264 | 79.54598906 |
-38.16539107 | 79.66136073 |
-37.38548975 | 79.78847279 |
-36.64120868 | 79.92172112 |
-35.91558782 | 80.06294656 |
-35.19249573 | 80.21645047 |
-34.4864099 | 80.38031078 |
-33.81092076 | 80.55015465 |
-33.13862012 | 80.73273475 |
-32.4707 | 80.9299 |
-31.83930479 | 81.13118307 |
-31.21206294 | 81.34590452 |
-30.59032841 | 81.57541667 |
-29.98947406 | 81.81398306 |
-29.40166698 | 82.06376927 |
-28.82032767 | 82.3281936 |
-28.25072259 | 82.60561671 |
-27.69692694 | 82.89342318 |
-27.15061213 | 83.19571583 |
-26.613 | 83.5125 |
-26.08805929 | 83.84127543 |
-25.57185361 | 84.18427962 |
-25.06526527 | 84.54086465 |
-24.56604623 | 84.91276126 |
-24.07558341 | 85.29917647 |
-23.59542853 | 85.69835262 |
-23.12251306 | 86.11245916 |
-22.65380903 | 86.5448392 |
-22.19610716 | 86.98921534 |
-21.7493 | 87.4441 |
-21.29927336 | 87.92480732 |
-20.86081588 | 88.41647846 |
-20.43337189 | 88.91751556 |
-20.00551642 | 89.44151307 |
-19.58363389 | 89.98204787 |
-19.17292295 | 90.5311522 |
-18.76671878 | 91.09641676 |
-18.35960455 | 91.68695539 |
-17.96377109 | 92.28530572 |
-17.5782 | 92.8901 |
-17.18476376 | 93.53120341 |
-16.80244892 | 94.17918998 |
-16.43021125 | 94.83290251 |
-16.05606746 | 95.51357865 |
-15.68666375 | 96.21087025 |
-15.32729414 | 96.91340328 |
-14.97182242 | 97.63167977 |
-14.61541408 | 98.37716362 |
-14.2689692 | 99.12742719 |
-13.9316 | 99.8817 |
-13.58902351 | 100.6733133 |
-13.25620892 | 101.4691852 |
-12.93245342 | 102.268717 |
-12.60924113 | 103.0932455 |
-12.29132488 | 103.9322472 |
-11.98257072 | 104.7746709 |
-11.6791764 | 105.6299164 |
-11.37815372 | 106.5078659 |
-11.08641924 | 107.3890091 |
-10.8037 | 108.273 |
-10.52216891 | 109.185579 |
-10.25015068 | 110.1011232 |
-9.987505226 | 111.0193485 |
-9.730545926 | 111.9536834 |
-9.481440164 | 112.8974661 |
-9.242291884 | 113.8437931 |
-9.012212468 | 114.7971747 |
-8.790301913 | 115.7623325 |
-8.578864424 | 116.7299409 |
-8.4 | 118.0 |
(104) with 101 smooth curves of point on the wheel cap line of upper table, just can obtain smooth wheel cap curve, as shown in Figure 2;
(105) method of employing step (102)-(104) obtains the wheel hub curve, as shown in Figure 2;
(2) the wheel cap curve that is obtained by step (1), wheel hub curve rotate 360 ° around running shaft, obtain taking turns capping and wheel hub surface.
Claims (2)
1. centrifugal impeller runner design method of controlling curvature distribution, the meridional channel of this centrifugal impeller is formed by wheel cap line, wheel hub line, inlet line, egress line envelope, it is characterized in that, and design procedure is:
(1) by control wheel cap line, the distribution in the axial direction of wheel hub line curvature, come parametrization to form; Wheel cap line and the wheel hub curvature of a curve regularity of distribution, adopt following formula to determine:
,
Wherein, C (m) is wheel cap line or wheel hub curvature of a curve, and m is the dimensionless length of wheel cap line or wheel hub line; μ is that the maximum curvature place flows to the position percent value, and the preferred value of μ is 0.4 ~ 0.6; A is the dimensionless amplitude of wheel cap line or wheel hub line curvature, and
, R wherein
2It is the port radius that of centrifugal impeller;
The concrete steps of determining wheel cap line and wheel hub line are:
(101) determine respectively 4 endpoint locations of wheel cap line and wheel hub line according to the one dimension computational methods that flow;
(102) the wheel cap line is divided into n(50≤n≤200) section, determine n-1 the axial coordinate of putting except two-end-point, according to the curvature k of first point and this coordinate (Z
1, R
1), determine the coordinate (Z of second point
2, R
2); Then with curvature k and this point coordinates of second point, determine the coordinate (Z of the 3rd point
3, R
3); By that analogy, obtain the coordinate that the wheel cap line is had a few;
(103) n+1 point on the wheel cap line that obtains used smooth curve, just can obtain smooth wheel cap curve;
(104) method of employing step (102) and (103) obtains the wheel hub curve;
(2) the wheel cap curve that is obtained by step (1), wheel hub curve rotate 360 ° around running shaft, obtain taking turns capping and wheel hub surface.
2. a kind of centrifugal impeller runner design method of controlling curvature distribution according to claim 1 is characterized in that, wheel hub line maximum curvature radius value A is 0.3 ~ 0.8 times of wheel cap line maximum curvature value.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201210546397.5A CN103016398B (en) | 2012-12-14 | 2012-12-14 | Centrifugal impeller flow passage design method for controlling curvature distribution |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201210546397.5A CN103016398B (en) | 2012-12-14 | 2012-12-14 | Centrifugal impeller flow passage design method for controlling curvature distribution |
Publications (2)
Publication Number | Publication Date |
---|---|
CN103016398A true CN103016398A (en) | 2013-04-03 |
CN103016398B CN103016398B (en) | 2015-06-10 |
Family
ID=47965369
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201210546397.5A Active CN103016398B (en) | 2012-12-14 | 2012-12-14 | Centrifugal impeller flow passage design method for controlling curvature distribution |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN103016398B (en) |
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106593943A (en) * | 2016-12-06 | 2017-04-26 | 大连理工大学 | Nuclear main pump runner forming method based on intermediate line control |
CN110374900A (en) * | 2019-08-09 | 2019-10-25 | 西安交通大学 | A kind of flow-mixing blower fan with sinusoidal pattern meridional channel |
CN111120400A (en) * | 2019-12-24 | 2020-05-08 | 哈尔滨工程大学 | Centrifugal compressor for micro gas turbine |
Citations (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US6106230A (en) * | 1995-12-14 | 2000-08-22 | Warman International Limited | Centrifugal pump |
EP2261510A2 (en) * | 2009-06-10 | 2010-12-15 | Mitsubishi Heavy Industries, Ltd. | Method of manufacturing impeller of centrifugal rotary machine and impeller of centrifugal rotary machine |
CN102062118A (en) * | 2011-01-07 | 2011-05-18 | 江苏大学 | Design method for centrifugal pump impeller with high specific revolution number |
US20110158795A1 (en) * | 2008-05-27 | 2011-06-30 | Kevin Edward Burgess | Centrifugal pump impellers |
CN102146933A (en) * | 2010-02-09 | 2011-08-10 | 上海东方泵业(集团)有限公司 | Method for designing inlet edge of impeller of centrifugal pump |
CN102434489A (en) * | 2011-11-18 | 2012-05-02 | 江苏国泉泵业制造有限公司 | Method for designing three-flow-channel impeller of cutting pump |
DE102011007907B3 (en) * | 2011-04-21 | 2012-06-21 | Ksb Aktiengesellschaft | Impeller for centrifugal pumps |
CN102691671A (en) * | 2012-03-08 | 2012-09-26 | 江苏大学 | Designing method of impeller core main pump wheel |
CN102734209A (en) * | 2012-06-29 | 2012-10-17 | 江苏国泉泵业制造有限公司 | Design method of efficient screw centrifugal pump impeller |
-
2012
- 2012-12-14 CN CN201210546397.5A patent/CN103016398B/en active Active
Patent Citations (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US6106230A (en) * | 1995-12-14 | 2000-08-22 | Warman International Limited | Centrifugal pump |
US20110158795A1 (en) * | 2008-05-27 | 2011-06-30 | Kevin Edward Burgess | Centrifugal pump impellers |
EP2261510A2 (en) * | 2009-06-10 | 2010-12-15 | Mitsubishi Heavy Industries, Ltd. | Method of manufacturing impeller of centrifugal rotary machine and impeller of centrifugal rotary machine |
CN102146933A (en) * | 2010-02-09 | 2011-08-10 | 上海东方泵业(集团)有限公司 | Method for designing inlet edge of impeller of centrifugal pump |
CN102062118A (en) * | 2011-01-07 | 2011-05-18 | 江苏大学 | Design method for centrifugal pump impeller with high specific revolution number |
DE102011007907B3 (en) * | 2011-04-21 | 2012-06-21 | Ksb Aktiengesellschaft | Impeller for centrifugal pumps |
CN102434489A (en) * | 2011-11-18 | 2012-05-02 | 江苏国泉泵业制造有限公司 | Method for designing three-flow-channel impeller of cutting pump |
CN102691671A (en) * | 2012-03-08 | 2012-09-26 | 江苏大学 | Designing method of impeller core main pump wheel |
CN102734209A (en) * | 2012-06-29 | 2012-10-17 | 江苏国泉泵业制造有限公司 | Design method of efficient screw centrifugal pump impeller |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106593943A (en) * | 2016-12-06 | 2017-04-26 | 大连理工大学 | Nuclear main pump runner forming method based on intermediate line control |
CN106593943B (en) * | 2016-12-06 | 2019-01-04 | 大连理工大学 | A kind of core main pump runner forming method based on intermediate line traffic control |
CN110374900A (en) * | 2019-08-09 | 2019-10-25 | 西安交通大学 | A kind of flow-mixing blower fan with sinusoidal pattern meridional channel |
CN111120400A (en) * | 2019-12-24 | 2020-05-08 | 哈尔滨工程大学 | Centrifugal compressor for micro gas turbine |
Also Published As
Publication number | Publication date |
---|---|
CN103016398B (en) | 2015-06-10 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN101769266B (en) | Centrifugal fan blade | |
CN103291653A (en) | Low-specific-speed impeller and design method for blade thereof | |
CN102032213A (en) | Biomimetic processing method for leading edge of blade at end area | |
CN103410779B (en) | A kind of flow separation method for stationary cascade of high-load axial flow air compressor | |
CN103422912A (en) | Turbine with moving blades with pits at blade tops | |
CN101149061A (en) | Centrifugal impeller suitable for high rotation speed operation | |
CN108829970A (en) | Axial fan blade optimum design method and optimization system based on vortex dynamics | |
CN103671254A (en) | Vane structure for weakening axial flow pump vane top leakage flow and leakage vortex | |
CN105971931A (en) | Method for designing centrifugal impeller splitter blade | |
CN107092763A (en) | The three-dimensional design method of turbomachinery impeller with Castability | |
CN103016398A (en) | Centrifugal impeller flow passage design method for controlling curvature distribution | |
CN203404124U (en) | Low-specific speed impeller | |
CN103925238B (en) | Epicycloid centrifugal pump impeller | |
CN105673558A (en) | Centrifugal blower vane designed based on load method | |
CN108980103B (en) | Design method of forward multi-wing centrifugal ventilator impeller with inlet winglet | |
CN101149062A (en) | Wheel hub shaping method for improving end area blocking | |
CN102536329B (en) | Modeling method for axis-asymmetric end wall of annular blade grid of air compressor or turbine | |
CN114186513A (en) | Modeling design method for axial flow compressor blade with reverse S-shaped front edge | |
CN106567861A (en) | Axial flow pump guide vane hydraulic design method and device | |
CN108205607B (en) | Hydraulic design method for high-specific-speed centrifugal pump impeller | |
CN103628926A (en) | 3m<2>-steam-exhaust-area low-pressure stage set last stage blade of variable speed industrial steam turbine | |
CN203906376U (en) | Airfoil blade for drag reduction through riblet surface | |
CN104047890B (en) | The method for designing of the preposition inducer of a kind of axial-flow type low lift | |
CN206092077U (en) | Low -cost high efficiency steam turbine moving vane | |
CN202348525U (en) | Axial-flow rotary propeller type water turbine |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
C06 | Publication | ||
PB01 | Publication | ||
C10 | Entry into substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
C14 | Grant of patent or utility model | ||
GR01 | Patent grant |