Development of Richtmyer-Meshkov and Rayleigh-Taylor Instability in presence of magnetic field

TL;DR

This paper derives analytical expressions for the growth rates of Rayleigh-Taylor and Richtmyer-Meshkov instabilities in magnetized fluids, showing how magnetic fields can suppress or enhance these instabilities depending on their orientation.

Contribution

It provides new analytical formulas for instability growth rates in magnetized fluids using Layzer's potential flow model, considering the effects of magnetic fields.

Findings

Magnetic fields can suppress or enhance instabilities based on their orientation.

Interface oscillations occur if both fluids are conducting.

Magnetic fields have no effect in the linear regime.

Abstract

Fluid instabilities like Rayleigh-Taylor,Richtmyer-Meshkov and Kelvin-Helmholtz instability can occur in a wide range of physical phenomenon from astrophysical context to Inertial Confinement Fusion(ICF).Using Layzer's potential flow model, we derive the analytical expressions of growth rate of bubble and spike for ideal magnetized fluid in R-T and R-M cases. In presence of transverse magnetic field the R-M and R-T instability are suppressed or enhanced depending on the direction of magnetic pressure and hydrodynamic pressure. Again the interface of two fluid may oscillate if both the fluids are conducting. However the magnetic field has no effect in linear case.