A sensitivity analysis is done for turbulent cavitating flows using a pressure-based Navier-Stokes solver coupled with a phase volume fraction transport model and nonequilibrium k-ε turbulence closure. Four modeling parameters are assessed, namely, Cε1 and Cε2, which directly influence the production and destruction of the dissipation of turbulence kinetic energy, and Cdest and Cprod, which regulate the evaporation and condensation of the phases. Response surface methodology along with design of experiments is used for the sensitivity studies. The difference between the computational and experimental results is used to judge the model fidelity. Under noncavitating conditions, the best selections of Cε1 and Cε2 exhibit a linear combination with multiple optima. Using this information, cavitating flows around an axisymmetric geometry with a hemispherical fore-body and the NACA66(MOD) foil section are assessed. Analysis of the cavitating model has identified favorable combinations of Cdest and Cprod. The selected model parameters are found to work well for different geometries with different cavitation numbers for attached cavity. It is also confirmed that the cavitation model parameters employed in the literature are within the range identified in the present study.

1.
Arndt
,
R. E. A.
,
1981
, “
Cavitation in Fluid Machinery and Hydraulic Structures
,”
Annu. Rev. Fluid Mech.
,
13
, pp.
273
328
.
2.
Brennen, C. E., 1995, Cavitation and Bubble Dynamics, Oxford University Press, New York.
3.
Knapp, R. T., Daily, J. W., and Hammitt, F. G., 1970, Cavitation, McGraw-Hill, New York.
4.
Gopalan
,
S.
, and
Katz
,
J.
,
2000
, “
Flow Structure and Modeling Issues in the Closure Region of Attached Cavitation
,”
Phys. Fluids
,
12
, pp.
895
911
.
5.
Singhal, A. K., Vaidyan, N., and Leonard, A. D., 1997, “Multi-dimensional Simulation of Cavitating Flows Using a PDF Model for Phase Change,” ASME Paper No. FEDSM97-3272.
6.
Merkle, C. L., Feng, J., and Buelow, P. E. O., 1998, “Computational Modeling of the Dynamics of Sheet Cavitation,” 3rd International Symposium on Cavitation, Grenoble, France.
7.
Kunz
,
R. F.
,
Boger
,
D. A.
,
Stinebring
,
D. R.
,
Chyczewski
,
T. S.
,
Lindua
,
J. W.
,
Gibeling
,
H. J.
,
Venkateswaran
,
S.
, and
Govindan
,
T. R.
,
2000
, “
A Pre-conditioned Navier-Stokes Method for Two-Phase Flows With Application to Cavitation Prediction
,”
Comput. Fluids
,
29
, pp.
849
875
.
8.
Ahuja
,
V.
,
Hosangadi
,
A.
, and
Arunajatesan
,
S.
,
2001
, “
Simulations of Cavitating Flows Using Hybrid Unstructured Meshes
,”
ASME J. Fluids Eng.
,
123
, pp.
231
340
.
9.
Senocak
,
I.
, and
Shyy
,
W.
,
2002
, “
A Pressure-Based Method for Turbulent Cavitating Flow Computations
,”
J. Comput. Phys.
,
176
, pp.
363
383
.
10.
Senocak, I., and Shyy, W., 2001, “Numerical Simulation of Turbulent Flows With Sheet Cavitation,” CAV2001 4th International Symposium on Cavitation, Paper No. CAV2001A7.002.
11.
Senocak, I., 2002, “Computational Methodology for the Simulation of Turbulent Cavitating Flows,” Ph.D. dissertation, University of Florida, Gainesville, FL.
12.
Launder
,
B. E.
, and
Spalding
,
D. B.
,
1974
, “
The Numerical Computation of Turbulent Flows
,”
Comput. Methods Appl. Mech. Eng.
,
3
, pp.
269
289
.
13.
Shyy, W., Thakur, S. S., Ouyang, H., Liu, J., and Blosch, E., 1997, Computational Techniques for Complex Transport Phenomena, Cambridge University Press, New York.
14.
Wang
,
G.
,
Senocak
,
I.
,
Shyy
,
W.
,
Ikohagi
,
T.
, and
Cao
,
S.
,
2001
, “
Dynamics of Attached Turbulent Cavitating Flows
,”
Prog. Aerosp. Sci.
,
37
, pp.
551
581
.
15.
Myers, R. H., and Montgomery, D. C., 1995, Response Surface Methodology—Process and Product Optimization Using Designed Experiment, John Wiley and Sons, New York.
16.
Senocak, I., and Shyy, W. 2002, “Evaluation of Cavitation Models for Navier-Stokes Computations,” ASME Paper No: FEDSM2002-31011.
17.
Singhal
,
A. K.
,
Li
,
H.
,
Athavale
,
M. M.
, and
Jiang
,
Y.
,
2002
, “
Mathematical Basis and Validation of the Full Cavitation Model
,”
ASME J. Fluids Eng.
,
124
, pp.
617
624
.
18.
Shyy, W., 1994, Computational Modeling for Fluid Flow and Interfacial Transport, Elsevier, Amsterdam (revised printing 1997).
19.
Thakur, S. S., Wright, J. F., Shyy, W., and Udaykumar, H., 1997, “SEAL: A Computational Fluid Dynamics and Heat Transfer Code for Complex 3-D Geometries,” Technical Report, University of Florida, Gainesville, FL.
20.
Shyy
,
W.
, and
Thakur
,
S. S.
,
1994
, “
A Controlled Variation Scheme in a Sequential Solver for Recirculating Flows. Part I. Theory and Formulation
,”
Numer. Heat Transfer, Part B
,
25
(
3
), pp.
245
272
.
21.
Shyy
,
W.
, and
Thakur
,
S. S.
,
1994
, “
A Controlled Variation Scheme in a Sequential Solver for Recirculating Flows. Part II. Applications
,”
Numer. Heat Transfer, Part A
,
25
(
3
), pp.
273
286
.
22.
SAS Institute Inc., 1995, JMP Version 3, Cary, NC.
23.
Microsoft Corporation, 1985–1999, Microsoft Excel 2000.
24.
Lasdon
,
L. S.
,
Waren
,
A.
,
Jain
,
A.
, and
Ratner
,
M.
, 1978, “Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming,” ACM Trans. Math. Softw. 4:1.
25.
Kim, J., Kline, S. J., and Johnston, J. P., 1978, “Investigation of Separation and Reattachment of a Turbulent Shear Layer: Flow over a Backward-Facing Step,” Report No. MD-37, Thermosciences Division, Department of Mechanical Engineering, Stanford University, Stanford, CA.
26.
Rouse, H., and McNown, J. S., 1948, “Cavitation and Pressure Distribution, Head Forms at Zero Angle of Yaw,” Studies in Engineering, Bulletin 32, State University of Iowa.
27.
Reboud, J. L., Stutz, B., and Coutier, O., 1998, “Two-Phase Flow Structure of Cavitation: Experiment and Modeling of Unsteady Effects,” 3rd International Symposium on Cavitation, Grenoble, France.
28.
He
,
X.
,
Senocak
,
I.
,
Shyy
,
W.
,
Gangadharan
,
S. N.
, and
Thakur
,
S.
,
2000
, “
Evaluation of Laminar-Turbulent Transition and Equilibrium Near-Wall Turbulence Models
,”
Numer. Heat Transfer, Part A
,
37
, pp.
101
112
.
29.
Shen, Y., and Dimotakis, P., 1989, “The Influence of Surface Cavitation on Hydrodynamic Forces,” Proceedings of 22nd ATTC, St. John, Newfoundland, Canada, Aug., pp. 44–53.
You do not currently have access to this content.