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UNSTEADY FLOW OF A VISCOELASTIC FLUID THROUGH POROUS MEDIUM BOUNDED BY TWO POROUS PLATES

Keywords: Unsteady flow , Visco-elastic parameter , skin-friction , porous medium and porous parameter

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Abstract:

A mathematical model is proposed the problem of visco-elastic fluid under unsteady pressure gradient in region bounded by two parallel plates is studied in this paper. It is assumed that one plate is injected with certain constant velocity and that other it is sucked off with the same velocity. The above problem is solved using finite element techniques. In this paper, Galerkin method is used to determine the solutions of differential equations. The Galerkin method endowed with distinct features that account for its superiority over other competing methods. The expressions for velocity distribution and skin-friction are obtained, using Galerkinmethod. Influence of visco-elastic parameter and porous parameter on velocity distribution are shown graphically and on skin-friction are presented through table.

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