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An approach for the numerical simulation of ultra-high speed compressible supercavitating flows
Ying Chen * #,Chuanjing Lu,Xin Chen,Jie Li,Jiayi Cao
MOE Key Laboratory of Hydrodynamics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240
*Correspondence author
#Submitted by
Subject:
Funding: Specialized Research Fund for the Doctoral Program of Higher Education of China （No.No. 20110073120009）, The National Nature Science Foundation of China （No.Grant No. 11102110）
Opened online:11 July 2014
Accepted by: none
Citation: Ying Chen,Chuanjing Lu,Xin Chen.An approach for the numerical simulation of ultra-high speed compressible supercavitating flows[OL]. [11 July 2014] http://en.paper.edu.cn/en_releasepaper/content/4603442
 
 
Ultra-high speed projectile running in water with the velocity close to the speed of sound usually causes large supercavity. For the computation of such transonic cavitating flows, a high-speed model reflecting the compressibility of both the liquid and the vapor phases is suggested in this paper. The model is achieved within a self-developed numerical solver and well used to simulate the ultra-high speed subsonic supercavitating flows. An improved TAIT equation corrected with local temperature is adopted as the equation of state (EOS) for the liquid phase, and the Peng-Robinson EOS is used for the vapor phase. A cubic nonlinear eddy viscosity turbulence model (NLEVM) is introduced to provide better treatment on the anisotropic turbulence stresses in the large-scaled swirling flow structure inside the cavity. The ultra-high speed (Ma=0.7) supercavitating flows around disk cavitator and cylindrical object are investigated and compared with the results in low speed (Ma=0.007) condition. The flow variables are reasonably predicted, and the cavity profiles are compared to be close to the experimental empirical formula. An important conclusion in the compressible cavitating flow theory is verified by the numerical result that, at any specific cavitation number the cavity's size and the drag coefficient both increase along with the rise of Mach number. On the contrary, it is found as well that the cavity's slenderness ratio decreases when Mach number goes up. It indicates that the compressibility has different influences on the length and the radius of the supercavity.
Keywords:supercavity; numerical simulation; compressible; Mach number
 
 
 

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