The linear stability analysis of cavitation in flat plate cascades corresponding to 2, 3, 4, and 5-bladed impeller was carried out to clarify the effect of the blade count on cavitation instabilities. Each blade is treated independently so that all possible modes in those impellers can be found. In steady flow analysis the alternate blade cavitation was found only for impellers with even number of blades. For 2 or 4-bladed impeller, it was confirmed that there exists no additional destabilizing mode to those found in the previous analysis in which the inter-blade phase difference of disturbance was assumed. It was shown that the modes with total cavity volume fluctuation depend on the inlet duct length while the modes without total cavity volume fluctuation are independent on the system. [S0098-2202(00)01304-3]

Issue Section:
Technical Papers
Keywords:
cavitation, flow instability
Topics:
Blades, Cavitation, Cavities, Impellers, Stability
1.
Acosta, A. J., 1958, “
An Experimental Study of Cavitating Inducers
,” Proceedings of the 2nd Symposium on Naval Hydrodynamics, ONR/ACR-38, pp. 537–557.
2.
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
.
3.
Young
,
W. E.
,
1972
, “
Study of Cavitating Inducer Instabilities, Final report
,” NASA-CR-123939.
4.
Kamijo, K., Shimura, T., and Watanabe, M., 1977, “
An Experimental Investigation of Cavitating Inducer Instability
,” ASME Paper 77–Wa/FW-14.
5.
Goirand, B., Mertz, A. L., Joussellin, F., and Rebattet, C., 1992, “
Experimental Investigations of Radial Loads Induced by Partial Cavitation With a Liquid Hydrogen Inducer
,” IMechE, C453/056, pp. 263–269.
6.
Ryan, R. S., Gross, L. A., Mills, D., and Mitchell, P., 1994, “
The Space Shuttle Main Engine Liquid Oxygen Pump High-Synchronous Vibration Issue, the Problem, the Resolution Approach, the Solution
,” AIAA Paper 94-3153.
7.
Tsujimoto
,
Y.
,
Yoshida
,
Y.
,
Maekawa
,
Y.
,
Watanabe
,
S.
, and
Hashimoto
,
T.
,
1997
, “
Observations of Oscillating Cavitation of an Inducer
,”
ASME J. Fluids Eng.
,
119
, No.
4
, pp.
775
–
781
.
8.
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 Singularity Method
,”
ASME J. Fluids Eng.
,
121
, No.
4
, pp.
834
–
840
.
9.
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.
10.
Horiguchi
,
H.
,
Watanabe
,
S.
,
Tsujimoto
,
Y.
, and
Aoki
,
M.
,
2000
, “
A Theoretical Analysis of Alternate Blade Cavitation in Inducers
,”
ASME J. Fluids Eng.
,
122
, No.
1
, pp.
156
–
163
.
11.
Horiguchi
,
H.
,
Watanabe
,
S.
, and
Tsujimoto
,
Y.
,
2000
, “
Theoretical Analysis of Cavitation in Inducers with Unequal Blades with Alternate Leading Edge Cut-Back, Part I: Analytical Methods and the Results for Smaller Amount of Cutback
,”
ASME J. Fluids Eng.
,
122
, No.
2
, pp.
412
–
418
.
12.
Brennen
,
C. E.
, and
Acosta
,
A. J.
,
1976
, “
The Dynamic Transfer Function for a Cavitating Inducer
,”
ASME J. Fluids Eng.
,
98
, No.
2
, pp.
182
–
191
.
13.
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
.
14.
Wang
,
D. P.
, and
Wu
,
T. Y.
,
1965
, “
General Formulation of a Perturbation Theory for Unsteady Cavity Flows
,”
ASME J. Basic Eng.
,
87
, No.
4
, pp.
1006
–
1010
.
15.
Wade
,
R. B.
,
1967
, “
Linearized Theory of a Partially Cavitating Cascade of Flat Plate Hydrofoils
,”
Appl. Sci. Res.
,
17
, pp.
169
–
188
.
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