A new multi-phase model for low speed gas/liquid mixtures is presented; it does not require ad-hoc closure models for the variation of mixture density with pressure and yields thermodynamically correct acoustic propagation for multi-phase mixtures. The solution procedure has an interface-capturing scheme that incorporates an additional scalar transport equation for the gas void fraction. Cavitation is modeled via a finite rate source term that initiates phase change when liquid pressure drops below its saturation value. The numerical procedure has been implemented within a multi-element unstructured framework CRUNCH that permits the grid to be locally refined in the interface region. The solution technique incorporates a parallel, domain decomposition strategy for efficient 3D computations. Detailed results are presented for sheet cavitation over a cylindrical head form and a NACA 66 hydrofoil.

Issue Section:
Technical Papers
Keywords:
cavitation, two-phase flow, mixtures, numerical analysis
Topics:
Cavitation, Flow (Dynamics), Pressure, Simulation, Hydrofoil, Density, Acoustics, Engineering simulation, Cavities, Turbulence
1.
Kubota
,
A.
,
Kato
,
H.
, and
Yamaguchi
,
H.
,
1992
, “
Cavity Flow Predictions Based on the Euler Equations
,”
J. Fluid Mech.
,
240
, pp.
59
–
96
.
2.
Chen
,
Y.
, and
Heister
,
S. D.
,
1996
, “
Modeling Hydrodynamic Nonequilibrium in Cavitating Flows
,”
ASME J. Fluids Eng.
,
118
, pp.
172
–
178
.
3.
Delaunay, Y., and Kueny, J. L., 1990, “Cavity Flow Predictions based on the Euler Equations,” ASME Cavitation and Multi-Phase Flow Forum, Vol. 109, pp. 153–158.
4.
Janssens, M. E., Hulshoff, S. J., and Hoeijmakers, H. W. M., 1997, “Calculation of Unsteady Attached Cavitation,” AIAA-97-1936, 13th AIAA CFD Conferences, Snowmass, CO, June 29–July 2.
5.
Merkle, C. L., Feng, J. Z. and Buelow, P. E. O., 1998, “Computational Modeling of the Dynamics of Sheet Cavitation,” Proceedings of the 3rd International Symposium on Cavitation, Grenoble.
6.
Kunz, R. F., et al., 1999, “A Preconditioned Navier-Stokes Method for Two-Phase Flows with Application to Cavitation Prediction,” 14th AIAA CFD Conference, Norfolk, VA, June 28–July 1.
7.
Ahuja, V., Hosangadi, A., Ungewitter, R., and Dash, S. M., 1999, “A Hybrid Unstructured Mesh Solver for Multi-Fluid Mixtures,” AIAA-99-3330, 14th AIAA CFD Conference, Norfolk, VA, June 28–July 1.
8.
Hosangadi, A., Sinha, N., and Dash, S. M., 1997, “A Unified Hyperbolic Interface Capturing Scheme for Gas/Liquid Flows,” AIAA-97-2081, 13th AIAA CFD Conferences, Snowmass, CO, June 29–July 2.
9.
Hosangadi, A., Lee, R. A., Cavallo, P. A., Sinha, N., and York, B. J., 1998, “Hybrid, Viscous, Unstructured Mesh Solver for Propulsive Applications,” AIAA-98-3153, AIAA 34th JPC, Cleveland, OH, July 13–15.
10.
So
,
R. M. C.
,
Sarkar
,
A.
,
Gerodimos
,
G.
, and
Zhang
,
J.
,
1997
, “
A Dissipation Rate Equation for Low Reynolds Number and Near-Wall Technique
,”
Theor. Comput. Fluid Dyn.
,
9
, pp.
47
–
63
.
11.
Hosangadi
,
A.
,
Lee
,
R. A.
,
York
,
B. J.
,
Sinha
,
N.
, and
Dash
,
S. M.
,
1996
, “
Upwind Unstructured Scheme for Three-Dimensional Combusting Flows
,”
J. Propul. Power
,
12
, No.
3
, May–June, pp.
494
–
503
.
12.
Barth, T. J., 1991, “A 3-D Upwind Euler Solver for Unstructured Meshes,” AIAA-91-1548, 10th AIAA CFD Conference, Honolulu, HI, June.
13.
Barth, T. J., and Linton, S. W., 1995, “An Unstructured Mesh Newton Solu-tion for Compressible Fluid Flow and Its Parallel Implementation,” AIAA-95-0221, 33th AIAA Aerospace Sciences Meeting at Reno, NV, Jan 9–14.
14.
Rouse, H., and McNown, J. S., 1948, “Cavitation and Pressure Distribution: Head Forms at a Zero Angle of Yaw,” Technical Report: State University of Iowa Engineering Bulletin No. 32.
15.
Shen, Y. T., and Dimotakis, P., 1989, “The Influence of Surface Cavitation on Hydrodynamic Forces,” 22nd American Towing Tank Conference, St Johns, NF, August 8–11.
16.
Singal, A. K., Vaidya, N., and Leonard, A. D., 1997, “Multi-Dimensional Simulation of Cavitating Flows Using a PDF Model for Phase Change,” FEDSM97-3272, 1997 ASME Fluids Engineering Division Summer Meeting, Vancouver, British Columbia, Canada, June 22–26.
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 by ASME
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