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http://dx.doi.org/10.6112/kscfe.2014.19.3.091

GAS-LIQUID TWO-PHASE HOMOGENEOUS MODEL FOR CAVITATING FLOW -Part II. HIGH SPEED FLOW PHENOMENA IN GAS-LIQUID TWO-PHASE MEDIA  

Shin, B.R. (Institute of Flow Informatics)
Park, S. (Dept. of Ocean Engineering, Korea Maritime and Ocean Univ.)
Rhee, S.H. (Dept. of Naval Architecture and Ocean Engineering, Seoul Nat'l Univ.)
Publication Information
Journal of computational fluids engineering / v.19, no.3, 2014 , pp. 91-97 More about this Journal
Abstract
A high resolution numerical method aimed at solving cavitating flow was proposed and applied to gas-liquid two-phase shock tube problem with arbitrary void fraction. The present method with compressibility effects employs a finite-difference 4th-order Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL TVD scheme. The Jacobian matrix from the inviscid flux of constitute equation is diagonalized analytically and the speed of sound for the two-phase media is derived by eigenvalues. So that the present method is appropriate for the extension of high order upwind schemes based on the characteristic theory. By this method, a Riemann problem for Euler equations of one dimensional shock tube was computed. Numerical results of high speed flow phenomena such as detailed observations of shock and expansion wave propagations through the gas-liquid two-phase media and some data related to computational efficiency are made. Comparisons of predicted results and solutions at isothermal condition are provided and discussed.
Keywords
Compressible Flow; Gas-Liquid Two-phase Flow; Cavitating Flow; Homogeneous Model; MUSCL TVD Scheme; Runge-Kutta Method; Equation of State; Riemann Problem;
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Times Cited By KSCI : 1  (Citation Analysis)
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