Detection of a type of interphase interaction force for mathematical models of gas suspension with pair interaction

Authors

  • Yury Mikhailovich Kovalev South Ural State University

Keywords:

mathematical model, invariance, multi-component mixture

Abstract

Based on the analysis of invariance under Galilean transformations of a known mathematical model describing a two-phase medium flow, it was shown that despite the invariance of the equations for conservation of components, the resulting equation for conservation of total energy of the mixture is not reliable. The reasons for this discrepancy are thoroughly examined and eliminated. Functional dependence of the interphase interaction was determined for the obtained mathematical model of a two-phase medium.

Author Biography

Yury Mikhailovich Kovalev, South Ural State University

Dr. Sc. (Physics and Mathematics), Professor, Head of the Computational Continuum Mechanics Department

Published

2014-10-01

Issue

Section

Mathematics