CN102996504B - Centrifugal impeller flow passage design method for controlling slope distribution - Google Patents
Centrifugal impeller flow passage design method for controlling slope distribution Download PDFInfo
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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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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
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:
;
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.
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CN102996504B true CN102996504B (en) | 2015-06-10 |
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Citations (4)
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)
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 |
-
2012
- 2012-12-14 CN CN201210545524.XA patent/CN102996504B/en active Active
Patent Citations (4)
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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