Thermodynamically Compatible Hyperbolic Model for Two-Phase Compressible Fluid Flow with Surface Tension

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详细

A two-phase flow model for compressible immiscible fluids is presented, the derivation of which is based on the use of the theory of symmetric hyperbolic thermodynamically compatible systems. The model is an extension of the previously proposed thermodynamically compatible model of compressible two-phase flows due to the inclusion of new state variables of the medium associated with surface tension forces. The governing equations of the model form a hyperbolic system of differential equations of the first order and satisfy the laws of thermodynamics (energy conservation and entropy increase). The properties of the model equations are studied and it is shown that the Young–Laplace law of capillary pressure is fulfilled in the asymptotic approximation at the continuum level.

作者简介

E. Romenski

Sobolev Institute of Mathematics SB RAS

编辑信件的主要联系方式.
Email: evrom@math.nsc.ru
Russia, Novosibirsk

I. Peshkov

University of Trento

编辑信件的主要联系方式.
Email: ilya.peshkov@unitn.it
Italy, Trento

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版权所有 © Е.И. Роменский, И.М. Пешков, 2023

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