Dynamics effects in gradient theory for fluid mixtures

TL;DR

This paper introduces a novel approach to analyze the dynamics of fluid mixture interfaces, extending classical equilibrium equations and relations to out-of-equilibrium conditions with new formulae for isothermal layers.

Contribution

It extends equilibrium interface equations and classical relations like Maxwell and Clapeyron to out-of-equilibrium fluid mixture interfaces.

Findings

Extended Maxwell rule for out-of-equilibrium interfaces

Derived Clapeyron-like relations for isothermal layers

New framework for studying fluid mixture interface dynamics

Abstract

We propose a new method to study motions of mixtures in fluid interfaces. We extend the equations of equilibrium in interfaces and the results associated with travelling waves for van der Waals like fluids. Maxwell rule is extended to interfaces of fluid mixtures out of equilibrium. Formulae like Clapeyron relation are obtained for isothermal layers.