CN102996504B - Centrifugal impeller flow passage design method for controlling slope distribution - Google Patents

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

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CN102996504B
CN102996504B CN201210545524.XA CN201210545524A CN102996504B CN 102996504 B CN102996504 B CN 102996504B CN 201210545524 A CN201210545524 A CN 201210545524A CN 102996504 B CN102996504 B CN 102996504B
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line
wheel
wheel hub
point
wheel cap
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CN102996504A (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 fluid mechanical design modeling methods and in particular relates to a centrifugal impeller flow passage design method for controlling slope distribution. Meridional flow passage design steps of a centrifugal impeller comprise the following steps: carrying out parameterized formation by controlling distribution of slopes of a wheel cap line and a wheel hub line in the axial direction; and then rotating an obtained wheel cap curve and a wheel hub curve with 360 degrees around a rotation shaft to obtain a wheel cap face and a wheel hub face. Appropriate slope distribution regularity can be flexibly selected to control distribution of flow load of the centrifugal impeller in the axial direction according to flow acting situations of the centrifugal impeller by controlling the slopes of the flow passage curves, and the acting efficiency and the stable work boundary of the centrifugal impeller are improved. The centrifugal impeller flow passage design method can be widely applied to flow design of various centrifugal and diagonal flow turbomachinery.

Description

A kind of centrifugal impeller flow passage design method controlling slope distribution
Technical field
The invention belongs to fluid machinery design model method, be specifically related to a kind of centrifugal impeller flow passage design method controlling slope distribution.
Background technique
Receded disk impeller machinery is a core component of aircraft jet engine, and is widely used in the power and energy field of various fluid compression or fluid expansion.The design of the meridional channel of receded disk impeller machinery is very large to receded disk impeller mechanical impact.But the design criterion that meridional channel design is never clear and definite, general dependence designer experience, designs subjective randomness larger.The meridional channel Profile Design method of current routine, generally adds straight line by circular arc and is formed by connecting.This design is easy to cause flow losses, reduces the mechanical efficiency of receded disk impeller machinery.
Summary of the invention
The present invention proposes a kind of centrifugal impeller flow passage design method controlling slope distribution, there is good mobile performance, the function mechanical efficiency of receded disk impeller machinery can be improved.
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 controlling wheel cap line, the distribution in the axial direction of wheel hub line slope, carrying out parametrization and being formed; The slope distribution rule of wheel cap line and wheel hub line, adopts cubic polynomial S (x)=Ax 3+ Bx 2+ Cx+D determines, wherein S is the slope of curve, and x is that dimensionless flows to length, and A, B, C, D are dimensionless factor, and occurrence is as shown in the table:
A B C D
Wheel cap line 3e-4 4.0e-2 0.42e-1 4.76
Wheel hub line 3e-4 5.1e-2 1.46 6.37
Determine that the concrete steps of wheel cap line and wheel hub line are:
(101) 4 endpoint locations of wheel cap line and wheel hub line are determined respectively according to One-Dimensional flows computational methods;
(102) wheel cap line is divided into n(50≤n≤200) section, determine the axial coordinate of n-1 point except two-end-point, according to the slope k of first point and the coordinate (Z of this point 1, R 1), determine the coordinate (Z of second point 2, R 2); Then with the slope k of second point and this point coordinates, the coordinate (Z of the 3rd point is determined 3, R 3); By that analogy, obtain wheel cap line coordinate a little;
(103) n+1 point on the wheel cap line obtained is used smooth curve, just can obtain smooth wheel cap curve;
(104) adopt the method for step (102) and (103), obtain wheel hub curve;
(2) the wheel cap curve obtained by step (1), wheel hub curve rotate 360 ° around running shaft, obtain wheel capping and wheel hub surface.
The present invention has following beneficial effect:
By controlling runner slope of a curve, can according to the flowing acting situation of centrifugal impeller, the slope distribution rule that flexible selection is suitable, control the distribution of centrifugal impeller flowing load in axis, improve the stable operation border of mechanical efficiency and centrifugal impeller, the flow design of various centrifugal, mixed flow compressor tool can be widely used in.
Accompanying drawing explanation
Fig. 1 is structural principle sketch of the present invention.
Fig. 2 is the schematic diagram of meridional channel in Fig. 1.
Fig. 3 is typical slope distribution figure of the invention process.
Number in the figure:
1-wheel cap line; 2-wheel hub line; 3-inlet line; 4-egress line.
Embodiment
The invention provides a kind of centrifugal impeller flow passage design method controlling slope distribution, below in conjunction with the drawings and specific embodiments, the present invention will be further described.
The axial longitudinal section of receded disk impeller machinery, is generally 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 envelope, as depicted in figs. 1 and 2.
The design procedure of this meridional channel is:
(1) the slope distribution rule of wheel cap line and wheel hub line, adopts cubic polynomial S (x)=Ax 3+ Bx 2+ Cx+D determines, wherein S is the slope of curve, and x is that dimensionless flows to length, and A, B, C, D are dimensionless factor, and occurrence is as shown in the table:
A B C D
Wheel cap line 3e-4 4.0e-2 0.42e-1 4.76
Wheel hub line 3e-4 5.1e-2 1.46 6.37
Determine that the concrete steps of wheel cap line and wheel hub line are:
(101) determine that wheel cap line two ends point coordinates is for (-75,78.5) (-8.4,118) respectively according to One-Dimensional flows calculating, the two ends point coordinates of wheel hub line is (-75,30) (0,118);
(102) wheel cap line is divided into 100 sections, determines that the curvature distribution rule of 101 discrete points is altogether as shown in the table according to the formula of step (1):
m% S
0 2.32822752
1.081193125 2.684830529
2.158423216 3.052522752
3.231690273 3.431304189
4.302531701 3.821744421
5.370643162 4.223781636
6.434353142 4.637521399
7.493103413 5.064098509
8.548594601 5.504275681
9.598761667 5.957385241
10.64259234 6.424558357
11.68162113 6.90694199
12.7149665 7.404196413
13.74096037 7.916498385
14.75987996 8.445282513
15.7750857 8.992472579
16.78168811 9.555828644
17.77826145 10.13622719
18.77284031 10.73894675
19.75956937 11.36083407
20.73470078 12.00065915
21.70652987 12.66517963
22.68583208 13.3630336
23.65146125 14.08025866
24.6019665 14.81672705
25.53737196 15.57258196
26.45749724 16.3476886
27.36147888 17.14132595
28.25352674 17.9574741
29.13529651 18.79829935
29.99991337 19.65719931
30.84714997 20.53264277
31.6970085 21.44647939
32.52933638 22.37828312
33.34397638 23.32532585
34.1556733 24.30460663
34.96250196 25.31572893
35.75124714 26.3412808
36.52547077 27.38215321
37.31243403 28.4771139
38.08141862 29.58511401
38.83476969 30.7036116
39.59375993 31.86377058
40.34926271 33.05391233
41.09005012 34.25336808
41.82388345 35.46919189
42.57060858 36.7360406
43.30440203 38.01054488
44.02879026 39.29034799
44.76325115 40.60891827
45.4956161 41.94554822
46.22123034 43.2858758
46.94775593 44.63791383
47.68331216 46.01715949
48.41532489 47.39829165
49.14793261 48.77911285
49.88908244 50.17321563
50.6329808 51.56957463
51.38159653 52.96339465
52.13671281 54.35230083
52.89793139 55.73561284
53.66755874 57.11429406
54.45013836 58.48557459
55.23483435 59.83023415
56.03177849 61.16597678
56.84604016 62.49105911
57.669658 63.78852295
58.50122558 65.05770015
59.35293003 66.3136157
60.22802514 67.55102947
61.10222131 68.73739341
61.99970614 69.90696689
62.92383305 71.0549536
63.86078224 72.16253241
64.81380023 73.23572679
65.79407145 74.2843528
66.80078791 75.30176227
67.82096445 76.27619754
68.86896438 77.22216587
69.9442864 78.13549514
71.04565632 79.0143245
72.17364204 79.85923184
73.32709666 80.66920419
74.50916573 81.44580417
75.73116451 82.1950839
76.97682679 82.90654766
78.24197995 83.58050177
79.56403717 84.23515278
80.91612755 84.85454996
82.28494047 85.43584244
83.69361042 85.9904904
85.16644159 86.5245884
86.65374539 87.01940575
88.15135633 87.47946666
89.74955535 87.92964662
91.36933979 88.34395631
92.99704241 88.7245832
94.68622279 89.08560158
96.45034258 89.42611574
98.22160165 89.73091521
100 90
(103) wheel cap line is divided into 100 sections, determines the axial coordinate of 99 points in centre except two-end-point, according to the slope k of first point and the coordinate (Z of this point 1, R 1), determine the coordinate (Z of second point 2, R 2); Then with the slope k of second point and this point coordinates, the coordinate (Z of the 3rd point is determined 3, R 3); By that analogy, obtain wheel cap line coordinate a little; Following table lists front 15 point coordinates, and remaining point obtains by that analogy.
Z R
-75.0 78
-72.0408 77.9949
-69.0817 77.9924
-66.1225 77.9898
-63.1633 77.9873
-60.2042 77.9847
-57.245 77.9821
-54.2858 77.9796
-51.3266 77.977
-48.3675 77.9745
-45.4083 77.9719
-42.45 78.0193
-39.5072 78.3191
-36.6048 78.8906
-33.7679 79.7287
(104) by 101 smooth curves of point on the wheel cap line that obtains, smooth wheel cap curve can just be obtained;
(105) adopt the method for step (102)-(104), obtain wheel hub curve;
(2) the wheel cap curve obtained by step (1), wheel hub curve rotate 360 ° around running shaft, obtain wheel capping and wheel hub surface.

Claims (1)

1. control a centrifugal impeller flow passage design method for slope distribution, the meridional channel of this centrifugal impeller is formed by wheel cap line, wheel hub line, inlet line, egress line envelope, and it is characterized in that, design procedure is:
(1) by controlling wheel cap line, the distribution in the axial direction of wheel hub line slope, carrying out parametrization and being formed; The slope distribution rule of wheel cap line and wheel hub line, adopts cubic polynomial S (m)=Ax 3+ Bx 2+ Cx+D determines, wherein S is the slope of curve, and x is that dimensionless flows to length, and A, B, C, D are dimensionless factor, and occurrence is as follows:
A B C D Wheel cap line 3e-4 4.0e-2 0.42e-1 4.76 Wheel hub line 3e-4 5.1e-2 1.46 6.37
Determine that the concrete steps of wheel cap line and wheel hub line are:
(101) 4 endpoint locations of wheel cap line and wheel hub line are determined respectively according to One-Dimensional flows computational methods;
(102) wheel cap line is divided into n(50≤n≤200) section, determine the axial coordinate of n-1 point except two-end-point, according to the slope k of first point and the coordinate (Z of this point 1, R 1), determine the coordinate (Z of second point 2, R 2); Then with the slope k of second point and this point coordinates, the coordinate (Z of the 3rd point is determined 3, R 3); By that analogy, obtain wheel cap line coordinate a little;
(103) n+1 point on the wheel cap line obtained is used smooth curve, just can obtain smooth wheel cap curve;
(104) adopt the method for step (102) and (103), obtain wheel hub curve;
(2) the wheel cap curve obtained by step (1), wheel hub curve rotate 360 ° around running shaft, obtain wheel capping and wheel hub surface.
CN201210545524.XA 2012-12-14 2012-12-14 Centrifugal impeller flow passage design method for controlling slope distribution Active CN102996504B (en)

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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101149061A (en) * 2007-07-30 2008-03-26 北京航空航天大学 Centrifugal impeller suitable for high rotation speed operation
CN201148995Y (en) * 2008-01-16 2008-11-12 天津内燃机研究所 Low noise cooling fan
CN201176959Y (en) * 2008-01-16 2009-01-07 天津内燃机研究所 Double-vane cooling fan
RU2354854C1 (en) * 2007-12-20 2009-05-10 Федеральное государственное унитарное предприятие "Центральный институт авиационного моторостроения имени П.И. Баранова" Axial blower or compressor high-rpm impeller

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP2603703A1 (en) * 2010-08-12 2013-06-19 Nuovo Pignone S.p.A. Radial diffuser vane for centrifugal compressors

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101149061A (en) * 2007-07-30 2008-03-26 北京航空航天大学 Centrifugal impeller suitable for high rotation speed operation
RU2354854C1 (en) * 2007-12-20 2009-05-10 Федеральное государственное унитарное предприятие "Центральный институт авиационного моторостроения имени П.И. Баранова" Axial blower or compressor high-rpm impeller
CN201148995Y (en) * 2008-01-16 2008-11-12 天津内燃机研究所 Low noise cooling fan
CN201176959Y (en) * 2008-01-16 2009-01-07 天津内燃机研究所 Double-vane cooling fan

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