An analysis of alternate blade cavitation on flat plate cascade is made using a singularity method based on a closed cavity model. In the steady flow analysis, it was found that two kinds of steady cavitation patterns exist. One is equal length cavitation in which the cavity lengths of all blades are the same. The other is alternate blade cavitation in which the cavity length changes alternately from blade to blade. Although the present model fails to predict the range of cavitation number where alternate blade cavitation occurs, it predicts alternate blade cavitation fairly well in terms of cavity length. A parameter study shows that the development of alternate blade cavitation is quite different depending on the solidity of cascade. The stability of equal length and alternate blade cavitation is then examined allowing the cavity length freely to change. It was found that alternate blade cavitation is stable for the cascades with larger solidity and unstable for the cascades with smaller solidity. The equal length cavitation is stable in both cases only in the region of cavitation number larger than that where the alternate blade cavitation solution separates from the equal length cavitation. [S0098-2202(00)01301-8]

Issue Section:
Technical Papers
Keywords:
cavitation, flow instability, flow control
Topics:
Blades, Cascades (Fluid dynamics), Cavitation, Cavities, Stability, Flow (Dynamics)
1.
Acosta, A. J., 1958, “An Experimental Study of Cavitating Inducer,” Proceedings of the 2nd Symposium on Naval Hydrodynamic, ONR/ACR-38, pp. 533–557.
2.
Young, W. E., 1972, “Study of Cavitating Inducer Instabilities, Final report,” NASA-CR-123939.
3.
Kamijo
,
K.
,
Yoshida
,
M.
, and
Tsujimoto
,
Y.
,
1993
, “
Hydraulic and Mechanical Performance of LE-7 LOX Pump Inducer
,”
AIAA J. Propulsion Power
,
9
, No.
6
, pp.
819
–
826
.
4.
Tsujimoto
,
Y.
,
Kamijo
,
K.
, and
Yoshida
,
Y.
,
1993
, “
A Theoretical Analysis of Rotating Cavitation in Inducers
,”
ASME J. Fluids Eng.
,
115
, No.
1
, pp.
135
–
141
.
5.
Huang
,
J. D.
,
Aoki
,
M.
, and
Zhang
,
J. T.
,
1998
, “
Alternate Blade Cavitation on Inducer
,”
JSME Int. J., Ser. B
,
41
, No.
1
, pp.
1
–
6
.
6.
de Bernardi, J., Joussellin, F., and Von Kaenel, A., 1993, “Experimental Analysis of Instabilities Related to Cavitation in a Turbopump Inducer,” 1st International Symposium on Pump Noise and Vibrations.
7.
Wade
,
R. B.
,
1967
, “
Linearized Theory of a Partially Cavitating Cascade of Flat Plate Hydrofoils
,”
Appl. Sci. Res.
,
17
, pp.
169
–
188
.
8.
Aoki, M., 1993, “Experiment for Prediction of Suction Performance in Helical Inducer,” Internal Report of Ebara Research Co., Ltd., ETR 93-22.
9.
Brennen, C. E., 1994, Hydrodynamics of Pump, Consepts ETI and Oxford University Press.
10.
Watanabe, S., Tsujimoto, Y., Franc, J. P., and Michel, J. M., 1998, “Linear Analysis of Cavitation Instabilities,” Proceedings of the 3rd International Symposium on Cavitation, Vol. 1, pp. 347–352.
11.
Le
,
Q.
,
Franc
,
J. P.
, and
Michel
,
J. M.
,
1993
, “
Partial Cavities: Global and Mean Pressure Distribution
,”
ASME J. Fluids Eng.
,
115
, No.
1
, pp.
243
–
248
.
12.
Watanabe
,
S.
,
Sato
,
K.
,
Tsujimoto
,
Y.
, and
Kamijo
,
K.
,
1999
, “
Analysis of Rotating Cavitation in a Finite Pitch Cascade Using a Closed Cavity Model and a Singularity Method
,”
ASME J. Fluids Eng.
,
121
, No.
4
, pp.
834
–
840
.
Copyright © 2000
 by ASME
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