Numerical Method for Supercavitating Flow over Disk Cavitator of Underwater Supersonic Projectile

Abstract

Abstract: To deal with the effect of compressibility on the supersonic supercavitating projectile, a finite volume method was presented based on the ideal compressible potential flow. A solution for the inverse problem of supercavitating flow was proposed using continuity equation and Tait state equation combining with Riabouchinsky closure model. A new iterative scheme about supercavity shape was designed according to the impenetrable condition. The compressibility effect on the supercavity shape and drag coefficient was analyzed on the basis of solving supersonic supercavitating flow over disk cavitator. Under the supersonic condition(Mach number is between 1.0 and 1.2), the fluid compressibility will make the supercavitation a slight asymmetry. The front section is narrower than the end of the section and the maximum supercavity section is slightly moved backward. The supercavity slenderness and pressure drag coefficient will raise with the increase of Mach number at constant cavitation number. The computational results are agree well with other result.

Key words: supersonic, projectile, supercavity, finite volume method, potential flow, fluid dynamics

CLC Number:

O 353.4

MENG Qing-Chang, ZHANG Zhi-Hong, LIU Ju-Bin, GU Jian-Nong. Numerical Method for Supercavitating Flow over Disk Cavitator of Underwater Supersonic Projectile[J]. Journal of Shanghai Jiaotong University, 2011, 45(10): 1435-1439.

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