Partial cavitation of high-speed axisymmetric bodies is modeled using a steady potential-flow boundary-element technique. The effects of several key parameters defining the vehicle geometry are examined for configurations consisting of a disk cavitator followed by a conical section and ending in a cylindrical body. A single cavity is assumed to detach at the edge of the disk. A variety of conditions have been studied, including cavity closure on either the conical or cylindrical portions of the vehicle, variations in the cone angle, and variations in the radius of the cylindrical section. The results for the partially cavitating case are also compared with those for the supercavitating case.

Issue Section:
Technical Papers
Keywords:
external flows, cavitation, flow instability, boundary-elements methods
Topics:
Cavitation, Cavities, Flow (Dynamics), Drag (Fluid dynamics), Cylinders
1.
Efros
,
D. A.
,
1946
, “
Hydrodynamic Theory of Two-Dimensional Flow With Cavitation
,”
Dokl. Akad. Nauk SSSR
,
51
, pp.
267
–
270
.
2.
Tulin
,
M. P.
,
1964
, “
Supercavitating Flows—Small Perturbation Theory
,”
J. Ship Res.
,
7
, p.
3
3
.
3.
Cuthbert, J., and Street, R., 1964, “An Approximate Theory for Supercavitating Flow About Slender Bodies of Revolution,” LMSC Report, TM81-73/39, Lockheed Missiles and Space Co., Sunnyvale, CA.
4.
Brennan
,
C.
,
1969
, “
A Numerical Solution of Axisymmetric Cavity Flows
,”
J. Fluid Mech.
,
37
, p.
4
4
.
5.
Chou
,
Y. S.
,
1974
, “
Axisymmetric Cavity Flows Past Slender Bodies of Revolution
,”
J. Hydronautics
,
8
, p.
1
1
.
6.
Vorus, W. S., 1991, “A Theoretical Study of the Use of Supercavitation/Ventilation for Underwater Body Drag Reduction,” VAI Technical Report, Vorus & Associates, Inc., Gregory, MI.
7.
Kuria, I. M., Kirschner, I. N., Varghese, A. N., and Uhlman, J. S., 1997, “Compressible Cavity Flows Past Slender Non-Lifting Bodies of Revolution,” Proceedings of the ASME & JSME Fluids Engineering Annual Conference & Exhibition, Cavitation and Multiphase Flow Forum, FEDSM97-3262, Vancouver, BC.
8.
Uhlman
,
J. S.
,
1987
, “
The Surface Singularity Method Applied to Partially Cavitating Hydrofoils
,”
J. Ship Res.
,
31
, p.
2
2
.
9.
Uhlman
,
J. S.
,
1989
, “
The Surface Singularity or Boundary Integral Method Applied to Supercavitating Hydrofoils
,”
J. Ship Res.
,
33
, p.
1
1
.
10.
Kinnas, S. A., and Fine, N. E., 1990, “Nonlinear Analysis of the Flow Around Partially and Super-Cavitating Hydrofoils by a Potential Based Panel Method,” Proceedings of the IABEM-90 Symposium, International Association for Boundary Element Methods, Rome, Italy.
11.
Kinnas
,
S. A.
, and
Fine
,
N. E.
,
1993
, “
A Numerical Nonlinear Analysis of the Flow Around Two- and Three-Dimensional Partially Cavitating Hydrofoils
,”
J. Fluid Mech.
,
254
, pp.
151
–
181
.
12.
Varghese, A. N., Uhlman, J. S., and Kirschner, I. N., 1997, “Axisymmetric Slender-Body Analysis of Supercavitating High-Speed Bodies in Subsonic Flow,” Proceedings of the Third International Symposium on Performance Enhancement for Marine Applications, T. Gieseke, editor, Newport, RI.
13.
Kirschner, I. N., Uhlman, J. S., Varghese, A. N., and Kuria, I. M., 1995, “Supercavitating Projectiles in Axisymmetric Subsonic Liquid Flows,” Proceedings of the ASME & JSME Fluids Engineering Annual Conference & Exhibition, Cavitation and Multiphase Flow Forum, FED 210, J. Katz and Y. Matsumoto, editors, Hilton Head Island, SC.
14.
Uhlman, J. S., Varghese, A. N., and Kirschner, I. N., 1998, “Boundary Element Modeling of Axisymmetric Supercavitating Bodies,” Proceedings of the 1st Symposium on Marine Applications of Computational Fluid Dynamics, Hydrodynamic/Hydroacoustic Technology Center, McLean, VA.
15.
Savchenko, Y. N., Semenenko, V. N., Naumova, Y. I., Varghese, A. N., Uhlman, J. S., and Kirschner, I. N., 1997, “Hydrodynamic Characteristics of Polygonal Contours in Supercavitating Flow,” Proceedings of the Third International Symposium on Performance Enhancement for Marine Applications, T. Gieseke, editor, Newport, RI.
16.
Krasnov, V. K., 2002, “The Movement of an Axisymmetrical Solid With Formation of a Cavity,” Proceedings of the 2002 International Summer Scientific School on High-Speed Hydrodynamics, Chuvash National Academy of Science and Art, Cheboksary, Russia.
17.
Varghese, A. N., 1999, “Boundary-Element Modeling of Partial Cavitating and Supercavitating High-Speed Bodies,” presentation in the Proceedings of the 1999 ONR Workshop on Supercavitating High-Speed Bodies, Naval Undersea Warfare Center, Newport, RI.
18.
Varghese, A. N., and Uhlman, J. S., 2000, “Advanced Physics Modeling of Supercavitating High-Speed Bodies,” in “FY99 Annual In-House Laboratory Independent Research Annual Report,” NUWC-NPT Working Memorandum 8007 dated 17 April, Naval Undersea Warfare Center Division, Newport, RI.
19.
Tulin, M. P., 2001, “Supercavitation: An Overview,” Lecture Notes for the RTO AVT/VKI Special Course on Supercavitating Flows, von Karman Institute for Fluid Dynamics, Rhode Saint Gene`se, Belgium.
20.
Hoerner, S. F., 1965, Fluid-Dynamic Drag, Hoerner Fluid Dynamics, Brick Town, NJ.
21.
Newman, J. N., 1980, Marine Hydrodynamics, The MIT Press, Cambridge, MA.
22.
Garabedian
,
P. R.
,
1956
, “
Calculation of Axially Symmetric Cavities and Jets
,”
Pac. J. Math.
,
6
, pp.
611
–
689
.
23.
May, A., 1975, “Water Entry and the Cavity-Running Behavior of Missiles,” SEAHAC Technical Report 75-2, Naval Surface Weapons Center, White Oak Laboratory, Silver Spring, MD.
24.
Billet, M. L., and Weir, D. S., 1975, “The Effect of Gas Diffusion on the Flow Coefficient for a Ventilated Cavity,” J. Fluids Eng., December issue, American Society of Mechanical Engineers, New York, NY.
25.
Semenenko, V. N., 2001, “Artificial Supercavitation: Physics and Calculation,” Lecture Notes for the RTO AVT/VKI Special Course on Supercavitating Flows, von Karman Institute for Fluid Dynamics, Rhode Saint Gene`se, Belgium.
Copyright © 2005
 by ASME
You do not currently have access to this content.