Combined effect of horizontal magnetic field and vorticity on Rayleigh Taylor instability

TL;DR

This paper investigates how horizontal magnetic fields and vorticity influence the evolution of Rayleigh-Taylor instability, revealing their effects on bubble dynamics and confirming consistency with previous models.

Contribution

It introduces a model incorporating magnetic field strength and vorticity to analyze bubble evolution in Rayleigh-Taylor instability, extending prior linear and nonlinear studies.

Findings

Magnetic field strength affects early nonlinear bubble evolution.

Vorticity generation influences bubble tip parameters.

Model aligns with previous linear and nonlinear observations.

Abstract

In this research, the height, curvature and velocity of the bubble tip in Rayleigh-Taylor instability at arbitrary Atwood number with horizontal magnetic field are investigated. To support the earlier simulation and experimental results, the vorticity generation inside the bubble is introduced. It is found that, in early nonlinear stage, the temporal evolution of the bubble tip parameters depend essentially on the strength and initial perturbation of the magnetic field, although the asymptotic nature coincides with the non magnetic case. The model proposed here agrees with the previous linear, nonlinear and simulation observations.