Combined effect of surface tension and hydromagnetics on the Kelvin-Helmholtz instability of superposed viscous fluids saturating porous medium

Abstract

This paper deals with the effects of square of the Alfve n velocity, surface tension and the medium porosity on the instability of superposed viscous fluids in hydromagnetics saturating porous medium. Graphs are plotted by giving permissible numerical value to the non-dimensional parameters. The growth rate of the perturbations decreases slightly with the increase in medium porosity has very slight stabilizing effect on the system. The square of Alfve n velocity in imaginary growth rates of the perturbations the Kelvin-Helmholtz instability has stabilizing effect on the system. Surface tension has large enough stabilizing effect on the system. The effect of surface tension dissipates the energy of any disturbance more than that carried out by the magnetic field. In other words, the role of the square of Alfve n velocity can help the surface tension to find more stability on the Kelvin-Helmholtz instability problem, while the surface tension plays the fundamental role to generate the complete stability.