Numerical Calculation for Subsonic Compressible Supercavitating Flow over Disk-Cavitator

Article Preview

Abstract:

A finite volume method has been formulated based on the ideal compressible potential theory. By using the continuity equation and Tait state equation as well as Riabouchinsky closure model, an "inverse problem" solution has been presented for the supercavitating flow. According to the impenetrable condition on the surface of supercavity, a new iterative method for the supercavity shape has been designed to deal with the effect of compressibility on supercavity shape and pressure field. The supercavity shape changes from ellipse to taper, as well as the drag coefficient increases with Mach number increasing. The results compare well with the experiment data and empirical formula, and the numerical method is proven to be valid.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

737-742

Citation:

Online since:

October 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2010 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] KAM W. N. Overview of the ONR supercavitating high-speed bodies program[J], AIAA Guidance, Navigation, and Control Conference and Exhibit. Keystone, Colorado, 2006, 1-4.

DOI: 10.2514/6.2006-6440

Google Scholar

[2] KIRSCHNER I. N., FINE N. E., UHLMAN J. S. et al. Supercavitation research and development[R], Undersea Defense Technologies, Waikiki, HI, Oct, 2001, 1-10.

Google Scholar

[3] SAVCHENKO Y. N. Supercavitation-Problems and perspectives[C], CAV2001. Pasadena, CA, 2001, 1-8.

Google Scholar

[4] SEMENENKO V. N. Artificial supercavitation: physics and calculation[R], Supercavitating Flow, von Karman Institue, Brussels Belgium, 2001, 205-237.

Google Scholar

[5] MENG Qing-chang, ZHANG Zhi-hong, GU Jian-nong, et al. Analysis and calculation for tail-slaps of supercavitating projectile[J], Explosion and Shock Waves, 2009, 01, 56-60(in Chinese).

Google Scholar

[6] SEREBRYAKOV V. Problems of hydrodynamics for high speed motion in water with supercavitation[C], CAV2006, Wageningen, The Netherlands, 2006, 1-16.

Google Scholar

[7] SEREBRYAKOV V., SCHNERR G. Some problems of hydrodynamics for sub-and supersonic motion in water with supercavitation[C], CAV2003, Osaka, Japan, 2003, 1-19.

Google Scholar

[8] SEREBRYAKOV V. Some models of prediction of supercavitation flows based on slender body approximation[C], CAV2001. Pasadena, CA, 2001, 1-13.

Google Scholar

[9] SEREBRYAKOV V. Some problems of the supercavitation theory for sub or supersonic motion in water[R], High Speed Body Motion in Water, Kiev, Ukraine, 1997, 235-255.

Google Scholar

[10] VASIN A. D. Supercavities in compressible fluid[R], Supercavitating Flow, von Karman Institue, Brussels Belgium, 2001, 357-385.

Google Scholar

[11] VASIN A. D. Thin axisymmetric cavities in a subsonic compressible flow[J], Izvestiya Akademii Nauk SSSR, Mekhanika Zhdkosti i Gaza, 1987, 5, 174-177.

Google Scholar

[12] VASIN A. D. Slender axisymmetric cavities in a supersonic flow[J], Izvestiya Akademii Nauk SSSR, Mekhanika Zhdkosti i Gaza, 1987, 1, 179-181.

Google Scholar

[13] ZHANG Zhi-hong, MENG Qing-chang. Calculation method of supercavity profile about a slender cone type projectile traveling in water at subsonic speed[J], Explosion and Shock Wave, 2010, 30(in press, in Chinese).

Google Scholar

[14] VLASENKO Y. D. Experimental investigation of supercavitation flow regimes at subsonic and transonic speeds[C], CAV2003. Osaka, Japan, 2003, 1-8.

Google Scholar

[15] OHTANI K., KIKUCHI T., NUMATA D. et al. Study on supercavitation phenomenon induced by a high-speed slender projectile on water[C], 23rd IAHR Symposium, Yokohama, Japan, 2006, 1-10.

Google Scholar

[16] HRUBES J. D. High_speed imaging of supercavitating underwater projectiles[J], Exp. Fluids, 2001, 30, 57-61.

DOI: 10.1007/s003480000135

Google Scholar

[17] GU Jian-nong, ZHANG Zhi-hong, FAN Wu-jie. Experimental study on the penetration law for a rotating pellet entering water[J], Explosion and Shock Wave, 2005, 04, 341-349(in Chinese).

Google Scholar

[18] LINDAU J. W., VENKATESWARAN S., KUNZ R. F. et al. Computation of compressible multiphase flows[C], 41st ASME. Reno, Nevada, 2003, 1-11.

DOI: 10.2514/6.2003-1285

Google Scholar

[19] KUNZ J. W., LINDAU R. F. Fully coupled, 6-DOF to URANS, modeling of cavitating flows around a supercavitating vehicle[C], CAV2003. Osaka, Japan, 2003, 1-11.

Google Scholar

[20] KUNZ R. F., LINDAU J. W., BILLET M. L. et al. Multiphase CFD modeling of developed and supercavitating flows[R], Supercavitating Flow, von Karman Institue, Brussels Belgium, 2001, 269-312.

Google Scholar

[21] ZHANG Peng, FU Hui-ping. The numerical simulation of supercavitatoin around projectiles from subsonic to supersonic[J], Journal of Projectiles, Rockets, Missiles, and Guidance, 2009, 29, 5, 166-169(in Chinese).

Google Scholar

[22] YI Wen-jun, WANG Zhong-yua, XIONG Tian-hong, et al. Analysis of supercavity shape for underwater projectile with typical cavitator[J], Journal of Ballistics, 2008, 20, 2, 103-106(in Chinese).

Google Scholar

[23] VASIN A. D. Some problems of supersonic cavitation flows[C], CAV2001. Pasadena, CA, 2001, 1-14.

Google Scholar

[24] VASIN A. D. Calculation of axisymmetric cavities downstream of a disk in subsonic compressible fluid flow[J], Fluid Dynamics, 1996, 21, 2, 240-248.

DOI: 10.1007/bf02029683

Google Scholar

[25] VASIN A.D. Calculation of axisymmetric cavities downstream of a disk in a supersonic flow[J], Fluid Dynamics, 1997, 32, 4, 513-519.

Google Scholar

[26] VASIN A. D. Supercavitating flows at supersonic speed in compressible water. High Speed Body Motion in Water[R], High Speed Body Motion in Water, Kiev, Ukraine, 1997, 215-224.

Google Scholar

[27] SEMENENKO V. N. Dynamic processes of supercavitation and computer simulation[R], Supercavitating Flow, von Karman Institue, Brussels Belgium, 2001, 239-268.

Google Scholar

[28] SEMENENKO V. N. Computer simulation of unsteady supercavitating flows[R], High Speed Body Motion in Water, Kiev, Ukraine, 1997, 225-234.

Google Scholar

[29] SAVCHENKO Y. N. Control of Supercavitation Flow and Stability of Supercavitating Motion of Bodies[R], Supercavitating Flow, von Karman Institue, Brussels Belgium, 2001, 313-342.

Google Scholar