Acta mathematica scientia, Series B >
WEAKLY COMPRESSIBLE TWO-PRESSURE TWO-PHASE FLOW
Received date: 2009-10-21
Online published: 2009-11-20
Supported by
This work was supported by National Research Foundation of Korea Grant funded by the Korean Government (2009-0059567).
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.
Key words： multiphase flow; asymptotic analysis; turbulence; perturbation
Hyeonseong Jin , James Glimm . WEAKLY COMPRESSIBLE TWO-PRESSURE TWO-PHASE FLOW[J]. Acta mathematica scientia, Series B, 2009 , 29(6) : 1497 -1540 . DOI: 10.1016/S0252-9602(10)60001-X
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