This paper describes a new time marching calculation of blade surface cavitation based on a linearized free streamline theory using a singularity method. In this calculation, closed cavity models for partial and super cavities are combined to simulate the transitional cavity oscillation between partial and super cavities. The results for an isolated hydrofoil located in a 2-D channel are presented. Although the re-entrant jet is not taken into account, the transitional cavity oscillation with large amplitude, which is known to occur when the cavity length exceeds 75 percent of the chord length, was simulated fairly well. The partial cavity oscillation with relatively high frequency was simulated as damping oscillations. The frequency of the damping oscillation agrees with that of a stability analysis and of experiments. The present calculation can be easily extended to simulate other cavity instabilities in pumps or cascades.

1.
Wade
,
R. B.
, and
Acosta
,
A. J.
,
1966
, “
Experimental Observations on the Flow Past a Plano-Convex Hydrofoil
,”
ASME J. Basic Eng.
,
88
, pp.
273
283
.
2.
Kawanami
,
Y.
,
Kato
,
H.
,
Yamaguchi
,
H.
,
Tanimura
,
M.
, and
Tagaya
,
Y.
,
1997
, “
Mechanism and Control of Cloud Cavitation
,”
ASME J. Fluids Eng.
,
119
, pp.
788
794
.
3.
Le
,
Q.
,
Franc
,
J. P.
, and
Michel
,
J. M.
,
1993
, “
Partial Cavities: Global and Mean Pressure Distribution
,”
ASME J. Fluids Eng.
,
115
, pp.
243
248
.
4.
Arndt, R. E. A., Song, C. C. S., Kjeldsen, M., He, J., and Keller, A., 2000, “Instability of Partial Cavitation: A Numerical/Experimental Approach,” Proceedings, 23rd Symposium on Naval Hydrodynamics, Val de Reuli.
5.
Sato
,
K.
,
Tanada
,
M.
,
Monden
,
S.
, and
Tsujimoto
,
Y.
,
1999
, “
Observations of Oscillating Cavitation on a Flat Plate Hydrofoil,” (in Japanese
),
Trans. Jpn. Soc. Mech. Eng., Ser. B
,
65
, No.
639
, pp.
3659
3667
.
6.
Tulin M. P., and Hsu, C. C., 1980, “New Applications of Cavity Flow Theory,” Proceedings, 13th Symposium on Naval Hydrodynamics, pp. 107–131.
7.
Kubota
,
A.
,
Kato
,
H.
, and
Yamaguchi
,
H.
,
1992
, “
New Modeling of Cavitating Flows: A Numerical Study of Unsteady Cavitation on a Hydrofoil Section
,”
J. Fluid Mech.
,
240
, pp.
59
96
.
8.
Dang
,
J.
, and
Kuiper
,
G.
,
1999
, “
Re-Entrant Jet Modeling of Partial Cavity Flow on Two-Dimensional Hydrofoils
,”
ASME J. Fluids Eng.
,
121
, pp.
773
780
.
9.
Nishiyama
,
T.
, and
Shire
,
M.
,
1985
, “
Self-Excited Oscillation of the Cavity on a Hydrofoil and Lift Fluctuation (Linear Analysis by a Singularity Method
),” (in Japanese),
Trans. Jpn. Soc. Mech. Eng., Ser. B
,
59
, No.
561
, pp.
2796
2804
.
10.
Watanabe, S., Tsujimoto, Y., Franc, J. P., and Michel, J. M., 1998, “Linear Analysis of Cavitation Instabilities,” Proceedings, 3rd International Symposium on Cavitation, Vol. I, pp. 347–352.
11.
Geurst
,
J. A.
,
1959
, “
Linearized Theory for Partially Cavitated Hydrofoils
,”
International Shipbuilding Progress
,
6
, No.
60
, pp.
369
384
.
12.
Geurst
,
J. A.
,
1960
, “
Linearized Theory for Fully Cavitated Hydrofoils
,”
International Shipbuilding Progress
,
7
, No.
65
, pp.
12
27
.
13.
Wu
,
T. Y.
,
1962
, “
A Wake Model for Free-Streamline Flow Theory, Part 1
,”
J. Fluid Mech.
,
13
, pp.
161
181
.
You do not currently have access to this content.