Sharp-Interface Continuum Thermodynamics of multicomponent fluid systems with interfacial mass

TL;DR

This paper rigorously derives the thermodynamic equations for multicomponent fluid systems with interfaces, introduces a new mass transfer model influenced by surface agents, and clarifies inconsistencies in prior work.

Contribution

It provides a consistent derivation of balance equations and entropy production, and proposes a novel mass transfer model considering surface-active agents.

Findings

Derived consistent local balance equations and entropy production rates.

Developed a new model for interfacial mass transfer influenced by surface agents.

Compared and clarified differences with existing literature.

Abstract

We revisit the sharp-interface continuum thermodynamics of two-phase multicomponent fluid systems with interfacial mass. Since the published work is not fully consistent, we provide a rigorous derivation of the local balance equations and the entropy production rates, including all relevant steps and mathematical tools. Special emphasis is put on an axiomatic form of the entropy principle which, at the same time, allows for an efficient closure process. The latter builds on an appropriate representation of the entropy production rates, which is based on structural information being obtained from a more refined model which includes partial momenta and is given in an appendix. The closure relations obtained for the one-sided bulk-interface species transfer rates are further investigated, which leads to a novel model for mass transfer at fluid interfaces, influenced by the presence of adsorbed surface active agents. We finally compare our results in detail with the existing literature on continuum thermodynamics of two-phase multicomponent fluid systems with interfacial mass.