Equations for two-phase flows: a primer

TL;DR

This paper provides a comprehensive review of the equations governing two-phase flows with interfaces, emphasizing the proper inclusion of surface tension effects in the interface balance equations.

Contribution

It offers a self-contained overview of two-phase flow equations, highlighting the correct incorporation of surface tension into interface dynamics.

Findings

Clarifies the formulation of interface equations with surface tension

Provides a unified presentation of two-phase flow models

Serves as a foundational reference for further research

Abstract

The main goal of these notes is to give a review of the equations for two phase flow problems with an interface between the two phases in a self-contained way, and, in particular, to properly include surface tension into the interface balance equations.