Communications in Mathematical Sciences

Volume 21 (2023)

Number 8

A non-equilibrium multi-component model with miscible conditions

Pages: 2195 – 2211

DOI: https://dx.doi.org/10.4310/CMS.2023.v21.n8.a6

Author

Jean Bussac (Laboratoire de Mathématiques Jean Leray, Nantes Université, Nantes, France)

Abstract

This paper concerns the study of a full non-equilibrium model for a compressible mixture of any number of phases. Miscible conditions are considered in one phase, which lead to non-symmetric constraints on the statistical fractions. These models are subject to the choice of interfacial and source terms. We show that under a standard assumption on the interfacial velocity, the interfacial pressures are uniquely defined. The model is hyperbolic and symmetrizable under nonresonance conditions. Classes of entropy-consistent source terms are then proposed.

Keywords

multiphase flows, Baer–Nunziato, nonconservative, closure laws

2010 Mathematics Subject Classification

35L60, 35L65, 76T30

The full text of this article is unavailable through your IP address: 3.138.179.120

Received 17 June 2022

Accepted 6 February 2023

Published 15 November 2023