University of Khartoum

Solution of the Magneto-fluid-dynamics Boundary Layer by Adomian Decomposition Method

Solution of the Magneto-fluid-dynamics Boundary Layer by Adomian Decomposition Method

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Title: Solution of the Magneto-fluid-dynamics Boundary Layer by Adomian Decomposition Method
Author: Gaddal, Mohamed Abdelbagi Ahmed
Abstract: The problem of the magneto-fluid-dynamics boundary layer on a flat plate is important in many areas, and many methods have been used to solve it. The objective of this research is to apply the new Adomian Decomposition Method (ADM) to solve its two coupled equations. The methodology of the research is to calculate more terms of the series representing the solutions of both f and g. The main result is obtained a much more accurate value for g'' and f'''. The problem of the convergence of the series is dealt with using Pade’ approximation, which is part of the ADM. The equations: 2f^'''+ff^''+α^2 (gg^''-ςg^' g^'' )=0 ,α=U/V 2βg^'''+(f-ηf^'+βςf^' ) g^''+(β^2 ςg^'-β^2 g-ηg^' ) f^''=0,β=√(λU/vV) The boundary condition for magnetic boundary layer: At η=0 (no slip) f=f^'=0 at η=0 f^'→1 as η→∞ Same condition on ▁b: g=g^'=0 atς=0 g^'→1 asς→∞
URI: http://khartoumspace.uofk.edu/123456789/25936


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