Abstract
The nonlinear analysis of the combined effect of magnetic field and compressibility on the growth rate of Rayleigh-Taylor (RT) instability has been investigated for inviscid two fluid interface. We have considered an interface-parallel density dependent magnetic field and used Layzer’s approach to analyze the problem. We have also investigated the relative effect of magnetic pressure and hydrodynamic pressure on RT instability through the variation of the ratio of hydromagnetic pressure to magnetic pressure (β). Dynamics of bubble and spike has been studied analytically and numerically. Finally, we have obtained the stability conditions of our result through linear stability analysis
Highlights
Under the gravitational force, when a denser fluid overlies a lighter fluid, the interfacial instability occurs between those two fluids, and it is called Rayleigh-Taylor instability (RTI)
The growth rate of bubble and spikes is substantially reduced and shows oscillatory stabilization due to the combined effect which is conducive in Inertial Confinement Fusion (ICF) burn
According to the linear analysis,when the externally applied magnetic field is parallel to the interface of separation of the two fluid system, the RTI remain unaffected [22]
Summary
Under the gravitational force, when a denser fluid overlies a lighter fluid, the interfacial instability occurs between those two fluids, and it is called Rayleigh-Taylor instability (RTI). In nonlinear theory, it has been studied separately, the evolution of the interfacial fluid structure due to RTI in compressible fluids [26] and that due to presence of magnetic field [27]. The present paper is addressed to the problem of the evolution of the nonlinear interfacial structure caused by RTI in presence of a magnetic field parallel to the surface of separation of the two compressible fluids. With such a geometry, there is no effect of the magnetic field in the classical linear approximation [22].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
