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Surface instability in a finite thickness fluid saturated porous layer
Authors:N Rudraiah  B S Krishnamurthy and T Masuoka
Institution:(1) UGC-DSA Centre in Fluid Mechanics, Department of Mathematics, Bangalore University, Central College Campus, 560001 Bangalore, India;(2) Department of Physics, Gulbarga University, 585 106 Gulbarga, India;(3) Department of Mechanical Engineering, Kitakushu Institute of Technology, Japan
Abstract:The Rayleigh-Taylor (RT) instability at the interface between fluid and fluid saturated sparsely packed porous medium has been investigated making use of boundary layer approximation and Saffmann 8] boundary condition. An analytical solution for dispersion relation is obtained and is numerically evaluated for different values of the parameters. It is shown that RT instability can be controlled by a suitable choice of the thickness of porous layer, ratio of viscosities and the slip parameter.
Keywords:RT instability  flow past porous media  Brinkmann model  Saffmann boundary condition
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