CN103016398A - Centrifugal impeller flow passage design method for controlling curvature distribution - Google Patents

Centrifugal impeller flow passage design method for controlling curvature distribution Download PDF

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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
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line
curvature
wheel hub
wheel
wheel cap
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CN103016398B (en
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徐全勇
黄旭东
周明
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Tsinghua University
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Tsinghua University
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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

A kind of centrifugal impeller runner design method of controlling curvature distribution
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
Figure BDA0000259022242
, 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
Figure BDA0000259022243
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% C
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
Figure FDA0000259022232
, 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.
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Cited By (3)

* Cited by examiner, † Cited by third party
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

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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

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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
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Cited By (4)

* Cited by examiner, † Cited by third party
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

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