SOLUTION TO BERMAN’S MODEL OF VISCOUS FLOW IN POROUS CHANNEL BY OPTIMAL HOMOTOPY ASYMPTOTIC METHOD

  • Murad Ullah Khan Department of Mathematics, Islamia College Peshawar, KPK, Pakistan
Keywords: Fourth order differential equation, Optimal Homotopy Asymptotic Method, Berman’s model, Navier stokes equations, Reynolds numbers

Abstract

Berman developed the fourth-order nonlinear differential equation with initial and boundary conditions. This model
is based on two-dimensional, steady, incompressible viscous fluids that flow through the permeable channel with wall
suction/Injection. The solution of this model is semi-analytically computed by optimal Homotopy asymptotic technique
(OHAM). Reynolds number is based on Suction or injection through the wall, so for different values of Reynolds, we
obtained different types of semi-analytic solutions by OHAM.

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Published
2017-11-20