Influence of Electric and Magnetic Fields on Rayleigh–Taylor Instability in a Power-Law Fluid

Abstract

AbstractElectrodynamic RTI (ERTI) with a poor conducting fluid in a thin layer of an incompressible two fluids bounded upper side by a boundary with more dense fluid and lower side with a rigid boundary subjected to linear stability is investigated in the present study. A dispersion relation for growth rate of ERTI using linear stability theory was developed. This relation accounting for the growth disturbance is also obtained. The impact of the consequences of both electric as well as magnetic fields along with surface tension, power-law fluid, layer thickness on the ERTI using the approximations established by Rudraiah et al. (Acta Mech 119:165, 1996 [1]) is investigated. It reveals that electric-field, magnetic-field, power-law fluid and layer thickness stabilizes the system, whereas bond number destabilizes the interface.KeywordsPower-law fluidERTIPorous layerMagnetic field