Thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids
Fluid Dynamics
2023-02-21 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this paper we derive a class of thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids. The class of mixture models is fully compatible with the continuum theory of mixtures. The resulting mixture models may be formulated either in constituent or in mixture quantities. This permits a direct comparison with the Navier-Stokes Cahn-Hilliard model with non-matching densities, which reveals the key modeling simplifications of the latter.
Cite
@article{arxiv.2302.09287,
title = {Thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids},
author = {M. ten Eikelder and K. van der Zee and D. Schillinger},
journal= {arXiv preprint arXiv:2302.09287},
year = {2023}
}
Comments
Preprint, 43 pages, 2 figures