Electrohydrodynamic Kelvin-Helmholtz instability in a power-law fluid layer bounded above by a porous layer

The numerical study of two immiscible, electrically conducting, non-viscous, superposed, and counter-streaming power-law fluid Kelvin-Helmholtz instability (KHI) is discussed in the present work. This instability is because, in the presence of an electric field, the upper fluid layer is heavier than the lower fluid layer. To comprehend how physical parameters such as the electric field, power-law fluid, layer thickness, porous parameter, and Bond number related to streaming fluids affect the evolution of an unsteady approach to perturbation affecting the physical system, the so-obtained dispersion relation has been investigated by applying both linear theory and the normal mode method. It has been observed that the system is stabilized by the electric field, the power-law fluid, and the porosity parameter; nevertheless, the layer thickness and Bond number of the counter-streaming fluids have a destabilizing effect on neutral stability.