Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (1): 97-106.doi: https://doi.org/10.1007/s10483-016-2018-9

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Compressible closure models for turbulent multifluid mixing

H. JIN   

  1. Department of Mathematics, Jeju National University, Jeju 690-756, Korea
  • Received:2015-02-12 Revised:2015-07-06 Online:2016-01-01 Published:2016-01-01
  • Contact: H. JIN E-mail:hjin@jejunu.ac.kr
  • Supported by:

    Project supported by the Basic Science Research Program through the National Research Foundation (NRF) of Korea funded by the Ministry of Education, Science and Technology (No. NRF-2010-0010164)

Abstract:

This paper studies governing equations describing the turbulent fluid mixing behavior effectively. The goal is to propose a closure for compressible multiphase flow models with transport and surface tension, which satisfy the boundary conditions at the mixing zone edges, the conservation requirements, and an entropy inequality constraint. Implicitness of positivity for the entropy of averaging requires entropy inequality as opposed to conservation of entropy for microphysically adiabatic processes.

Key words: multiphase flow, averaged equation, constitutive law, closure

2010 MSC Number: 

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