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Experimental and numerical analysis of compressible two-phase flows in a shock tube

International Journal of Modeling, Simulation, and Scientific Computing 2015年第3期6卷 35-53页

作者： J.Bruce Ralphin Rose S.Dhanalakshmi G.R.Jinu Department of Aeronautical Engineering Regional Centre of Anna University Tirunelveli 627007 India Department of Mechanical Engineering Regional Centre of Anna University Tirunelveli 627007 India Department of Mechanical Engineering University College of Engineering Nagercoil 629004 India

The comparative study on seven equation models with two different six equations modelfor compressible two-phase flow analysis is proposed. The seven equations model isderived for compressible two-phase flow that is in the nonconservation form. In thepresent work, two different six equations model are derived for two pressures, two velocities and single temperature with the derivation of the equation of state. The closingequation for one of the six equations model is energy conservation equation while anotherone is closed by entropy balance equation. The partial differential form of governingequations is hyperbolic and written in the conservative form. At this point, the set ofgoverning equations are derived based on the principle of extended *** method of solving single temperature from both six equation models are simple anddirect solution can be obtained. Numerical simulation has been tried using one of the sixequation models for air–water shock tube problems. Explicit fourth order Runge–Kuttascheme is used with Finite Volume shock Capturing method for solving the governingequations numerically. The pressure, velocity and volume fraction variations are captured along the shock tube length through flow solver. Experimental work is carried outto magnify the initial stage of liquid injection into a gas. The outcome of six equationsmodel for compressible two-phase flow has revealed the multi-phase flow characteristicsthat are similar to the actual conditions.

关键词： Two-phase flows shock tubes Runge–Kutta scheme six equation models entropy balance

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NUMERICAL SIMULATION OF 1-D UNSTEADY TWO-PHASE FLOWS WITH shockS

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Applied Mathematics and Mechanics(English Edition) 1992年第7期13卷 629-635页

作者：吴清松王柏懿 University of Science and Technology of China Hefei Institute of Mechanics Academia Sinica Beijing

In the present paper, random-choice method (RCM) and second-order GRP difference method, which are high resolution methods used for pure gas flows with shocks, are extended and employed to study the problem of one-dimensional unsteady two-phase flows. The two-phase shock wave and the flow field behind it in a dusty gas shock tube are calculated and the time-dependent change of the flow parameters for the gas and particle phase are obtained. The numerical results indicate that both the two methods can give the relaxation structure of the two-phase shocks with a sharp discontinuous front and that the GRP method has the advantages of less time-consuming and higher accuracy over the RCM method.

关键词： Gas dynamics Granular materials Mathematical models Numerical methods Relaxation processes shock tubes shock waves Unsteady flow

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