Krishna, B and Chavaraddi, . and Katagi, N N and Awathi, V B and Gouder, Priya M (2014) Effect of boundary roughness on Kelvin-Helmholtz instability in Couple stress fluid layer bounded above by a porous layer and below by rigid surface. International Journal of Computational Engineering Research, 4 (1). pp. 35-43. ISSN 2250-3005

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Abstract

The effect of boundary roughness on Kelvin-Helmholtz instability (RTI) of a couple-stress fluid layer bounded above by a porous layer and below by a rigid surface with roughness boundary is studied using linear stability analysis. Because of the growing importance of non-Newtonian fluids (Couple-stress fluid) in modern technology and industries as well as various practical applications investigations on such fluids are desirable. An expression for the growth rate of KHI is derived using suitable boundary and surface conditions in addition to couple-stress boundary conditions. Also in order to observe the effect of boundary layer applying the Beavers-Joseph (BJ) slips condition. From this it is clear that the effects of couple stress parameter, roughness parameter, bond number and porous parameter play a significant role in maintaining the stability on the two fluid systems. 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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