Abstract
The surface instability of Kelvin-Helmholtz type in a couple stress fluid layers bounded above by a porous layer and below by a rigid surface is investigated using linear stability analysis. A simple theory based on fully developed flow approximations is used to derive the dispersion relation for the growth rate of KHI in presence of couple stress fluid. In order to observe the effect of boundary layer applying the Beavers-Joseph (BJ) slip condition. The dispersion relation is derived using suitable boundary and surface conditions and the results are discussed through graphically. The couple stress fluid is found to be stabilizing effect and the influence of the various parameters of the problem on the interface stability is thoroughly analyzed.
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