WEAKLY COMPRESSIBLE TWO-PRESSURE TWO-PHASE FLOW

doi:10.1016/S0252-9602(10)60001-X

摘要/Abstract

摘要：

We analyze the limiting behavior of a compressible two-pressure two-phase flow model as the Mach number tends to zero. Formal asymptotic expansions are derived for the solutions of compressible two-phase equations. Expansion coefficients through second order are evaluated in closed form. Underdetermination of incompressible pressures is resolved by information supplied from the weakly compressible theory. The incompressible pressures are uniquely specified by certain details of the compressible fluids from which they are derived as a limit. This aspect of two phase flow in the incompressible limit appears to be new, and results basically from closures which satisfy single phase boundary conditions at the edges of the mixing zone.

关键词: multiphase flow, asymptotic analysis, turbulence, perturbation

Abstract:

Key words: multiphase flow, asymptotic analysis, turbulence, perturbation

中图分类号:

76M45

Hyeonseong Jin, James Glimm. WEAKLY COMPRESSIBLE TWO-PRESSURE TWO-PHASE FLOW[J]. 数学物理学报(英文版), 2009, 29(6): 1497-1540.

Hyeonseong Jin, James Glimm. WEAKLY COMPRESSIBLE TWO-PRESSURE TWO-PHASE FLOW[J]. Acta mathematica scientia,Series B, 2009, 29(6): 1497-1540.

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