Energy dissipation in elasto-capillary fluid-structure interaction systems involving three immiscible fluids

TL;DR

This paper demonstrates that in a system involving three immiscible fluids and an elastic solid, the energy dissipates over time, extending previous models of fluid-structure interactions.

Contribution

It establishes an energy dissipation law for a complex elasto-capillary fluid-structure interaction system with three immiscible fluids.

Findings

Solution satisfies an energy dissipation law

Extends previous models to three-fluid systems

Provides theoretical foundation for energy analysis in such systems

Abstract

Here, we consider the elasto-capillary fluid-structure interaction problem studied in Bhopalam, Bueno & Gomez (2022), i.e., three immiscible fluids in contact with an elastic solid. In this article, we show that the solution of this fluid-structure interaction problem satisfies an energy dissipation law.