Contents Online
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
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
Received 17 June 2022
Accepted 6 February 2023
Published 15 November 2023