Combined effect of viscosity and vorticity on single mode Rayleigh -Taylor instability bubble growth

TL;DR

This paper investigates how viscosity and vorticity together influence the growth rate of bubbles in single mode Rayleigh-Taylor instability, revealing that viscosity can reduce viscous drag on rising bubbles.

Contribution

It provides new insights into the combined effects of viscosity and vorticity on bubble dynamics in Rayleigh-Taylor instability.

Findings

Viscosity can decrease the net viscous drag on bubbles.

Vorticity accumulated inside bubbles affects their growth.

Viscosity and vorticity jointly influence bubble motion.

Abstract

The combined effect of viscosity and vorticity on the growth rate of the bubble associated with single mode Rayleigh -Taylor instability is investigated. It is shown that the effect of viscosity on the motion of the lighter fluid associated with vorticity accumulated inside the bubble due to mass ablation may be such as to reduce the net viscous drag on the bubble exerted by the upper heavier fluid as the former rises through it.