Abstract

AbstractThe effect of inclined magnetic and electric field on the growth rate of the Kelvin-Helmholtz instability of a flow in the porous layer is presented. The base flow is assumed to be fully developed and the linear theories along with normal modes are used to understand the stability of the flow over the interface between the fluid saturated porous layer and the clear fluid layer to a large extent. The effect of inclined magnetic and electric fields on the growth rate of instability is studied in terms of non-dimensional parameters like the Darcy number, Electric and Magnetic parameters. It is observed that the inclined magnetic field has a stabilizing impact when the angle of orientation is \(90^{\circ }\) and whereas the horizontal magnetic field with a zero angle of inclination has a neutral impact on the stability of the system. For the large Darcy numbers, that is a porous medium with small porosity, the system will be stable whereas for smaller values of Darcy number, the system is marginally stable. The numerical and graphical results were presented and validated for a wide range of non-dimensional parameters.KeywordsShear-instabilityInclined-magnetic-fieldHartmann-numberElectric-numberGrowth-rateDispersion-relation

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