Bubble effect on Kelvin-Helmholtz' instability

TL;DR

This paper investigates how bubbles in a fluid layer influence Kelvin-Helmholtz instability, deriving boundary conditions for bubbly flows and showing that bubbles can stabilize certain flow configurations.

Contribution

It introduces boundary conditions for bubbly flows in Lagrangian models and analyzes their effect on Kelvin-Helmholtz instability, revealing stabilization effects due to bubbles.

Findings

Bubbles can stabilize flow at specific wavelengths.

Derived boundary conditions for bubbly flow models.

Analyzed instability in two-layer fluid systems.

Abstract

We derive boundary conditions at interfaces (contact discontinuities) for a class of Lagrangian models describing, in particular, bubbly flows. We use these conditions to study Kelvin-Helmholtz' instability which develops in the flow of two superposed layers of a pure incompressible fluid and a fluid containing gas bubbles, co-flowing with different velocities. We show that the presence of bubbles in one layer stabilizes the flow in some intervals of wave lengths.