Analysis of the energy dissipation laws in multi-component phase field models

TL;DR

This paper investigates two thermodynamically consistent approaches for modeling three-component fluid flows with diffusive interfaces, comparing their analytical and numerical properties to enhance understanding of energy dissipation laws.

Contribution

It introduces and compares two novel approaches for three-component fluid flow modeling that preserve thermodynamic consistency within an energetic variational framework.

Findings

Both approaches maintain thermodynamic consistency.

Analytical comparison reveals differences in algebraic and dynamic behavior.

Numerical simulations validate the theoretical analysis.

Abstract

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the coupled systems of partial differential equations that comprise the resulting models. The issue of algebraic and dynamic consistency is investigated. In addition, the two approaches that are presented are compared analytically and numerically.