Cavitating flows entail phase change and hence very large and steep density variations in the low pressure regions. These are also very sensitive to: (a) the formation and transport of vapor bubbles, (b) the turbulent fluctuations of pressure and velocity, and (c) the magnitude of noncondensible gases, which are dissolved or ingested in the operating liquid. The presented cavitation model accounts for all these first-order effects, and thus is named as the “full cavitation model.” The phase-change rate expressions are derived from a reduced form of Rayleigh-Plesset equation for bubble dynamics. These rates depend upon local flow conditions (pressure, velocities, turbulence) as well as fluid properties (saturation pressure, densities, and surface tension). The rate expressions employ two empirical constants, which have been calibrated with experimental data covering a very wide range of flow conditions, and do not require adjustments for different problems. The model has been implemented in an advanced, commercial, general-purpose CFD code, CFD-ACE+. Final validation results are presented for flows over hydrofoils, submerged cylindrical bodies, and sharp-edged orifices. Suggestions for possible extensions of the model implementation, e.g., to nonisothermal flows, for ingestion and mixing of noncondensible gases, and for predictions of noise and surface damage are outlined.

1.
Kubota
,
A.
,
Kato
,
H.
, and
Yamaguchi
,
H.
,
1992
, “
A New Modeling of Cavitating Flows: A Numerical Study of Unsteady Cavitation on a Hydrofoil Section
,”
J. Fluid Mech.
,
240
, pp.
59
96
.
2.
Wang, Y-C. and Brennen, C. E., 1994, “Shock Wave Development in the Collapse of a Cloud of Bubbles,” ASME FED, Vol. 194, Cavitation and Multiphase Flow, pp. 15–19.
3.
Keller, A. P., and Rott, H. K., 1997, “The Effect of Flow Turbulence on Cavitation Inception,” ASME FED Meeting, Vancouver, Canada.
4.
Janssens, M. E., Hulshoff, S. J., and Hoejijmakers, H. W. M., “Calculation of Unsteady Attached Cavitation,” 28th AIAA Fluid Dynamics Conference, AIAA-97-1936.
5.
Hsiao, C.-T., and Pauley, L. L., 1997, “Numerical Study of Tip Vortex Cavitation Inception Using a Bubble Dynamics Model,” ASME FED Meeting, Vancouver, Canada.
6.
Choi, J. K., and Kinnas, S. A., 1997, “Cavitating Propeller Analysis Inside of a Tunnel,” ASME FED Meeting, Vancouver, Canada.
7.
Fortes-Patella
,
R.
, and
Reboud
,
J. L.
,
1998
, “
A New Approach to Evaluate the Cavitation Erosion Power
,”
ASME J. Fluids Eng.
,
120
, pp.
335
388
.
8.
Kunz, R. F., Boger, D. A., Chyczewski, T. S., Stinebring, D. R., Gibeling, H. J., and Govindan, T. R., 1999, “Multi-Phase CFD Analysis of Natural and Ventilated Cavitation about Submerged Bodies,” FEDSM99-3764, ASME Fluids Eng. Conf., San Francisco, CA.
9.
Roth, K. W., and Massah, H., 1999, “Prediction of Caviation Damage: A Comparison of Computational Fluid Dynamics and Experimental Results,” FEDSM99-6760, ASME Fluids Eng. Conf., San Francisco, CA.
10.
Avva, R. K., Singhal, A. K., and Gibson, D. H., 1995, “An Enthalpy Based Model of Cavitation,” ASME FED Summer Meeting, Hilton Head Island.
11.
Singhal, A. K., Vaidya, N., and Leonard, A. D., 1997, “Multi-Dimensional Simulation of Cavitating Flows Using a PDF Model for Phase Change,” ASME FED Meeting, Paper No. FEDSM’97-3272, Vancouver, Canada.
12.
Brennen, C. E., 1995, Cavitation and Bubble Dynamics, Oxford University Press, Oxford.
13.
Markatos
,
N. C.
, and
Singhal
,
A. K.
,
1982
, “
Numerical Analysis of One-Dimensional, Two-Phase Flow a Vertical Cylindrical Pump
,”
Adv. Eng. Software
,
4
(
3
), pp.
99
106
.
14.
Stoffel, B., and Schuller, W., 1995, “Investigations Concerning the Influence of Pressure Distribution and Cavity Length on Hydrodynamic Cavitation Intensity,” ASME Fluids Eng. Conf., Hilton Head, SC.
15.
Hinze, J. O., 1975, Turbulence, 2nd Ed. McGraw Hill, New York.
16.
Watanabe, M., and Prosperetti, A., 1994, “The Effect of Gas Diffusion on the Nuclei Population Downstream of a Cavitation Zone,” ASME FED Vol. 190, Cavitation and Gas Liquid Flow in Fluid Machinery and Devices.
17.
Reisman, G., Duttweiler, and Brennen, C., 1997, “Effect of Air Injection on the Cloud Cavitation of a Hydrofoil,” ASME FED Meeting, Vancouver, Canada.
18.
CFDRC, 2001, “CFD-ACE+ Theory and Users’ Manuals and Tutorials.”
19.
Shen, Y. J., and Dimotakis, P. E., 1989, “The Influence of Surface Cavitation on Hydrodynamic Forces,” Proc. 22nd ATTC, St. Johns.
20.
Rouse, H., and McNown, J. S., 1948, “Cavitation and Pressure Distribution, Head Forms at Zero Angle of Yaw,” Iowa Institute of Hydraulic Research, Iowa City.
21.
Nurick
,
W. H.
,
1976
, “
Orifice Cavitation and its Effect on Spray Mixing
,”
ASME J. Fluids Eng.
,
98
, pp.
681
687
.
22.
Athavale, M. M., Li, H. Y., Jiang, Y, and Singhal, A. K., 2000, “Application of the Full Cavitation Model to Pumps and Inducers,” ISROMAC-8, Honolulu, HI.
23.
Athavale, M. M., Li, H. Y., and Singhal, A. K., 2001, “Numerical Analysis of Cavitating Flows in Rocket Turbopump Elements,” Paper No. AIAA-2001-3400.
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