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Analytic Comparison of MHD Squeezing Flow in Porous Medium with Slip Condition


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1 Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan
 

The aim of this paper is to compare the efficiency of various techniques for squeezing flow of an incompressible viscous fluid in a porous medium under the influence of a uniform magnetic field squeezed between two large parallel plates having slip boundary. Fourth-order nonlinear ordinary differential equation is obtained by transforming theNavier-Stokes equations. Resulting boundary value problem is solved using Differential Transform Method (DTM), Daftardar Jafari Method (DJM), Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), and Optimal Homotopy Asymptotic Method (OHAM). The problem is also solved numerically using Mathematica solver NDSolve. The residuals of the problem are used to compare and analyze the efficiency and consistency of the abovementioned schemes.
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  • Analytic Comparison of MHD Squeezing Flow in Porous Medium with Slip Condition

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Authors

Inayat Ullah
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan
M. T. Rahim
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan
Hamid Khan
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan
Mubashir Qayyum
Department of Mathematics, National University of Computer and Emerging Sciences, FAST, Peshawar Campus, Pakistan

Abstract


The aim of this paper is to compare the efficiency of various techniques for squeezing flow of an incompressible viscous fluid in a porous medium under the influence of a uniform magnetic field squeezed between two large parallel plates having slip boundary. Fourth-order nonlinear ordinary differential equation is obtained by transforming theNavier-Stokes equations. Resulting boundary value problem is solved using Differential Transform Method (DTM), Daftardar Jafari Method (DJM), Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), and Optimal Homotopy Asymptotic Method (OHAM). The problem is also solved numerically using Mathematica solver NDSolve. The residuals of the problem are used to compare and analyze the efficiency and consistency of the abovementioned schemes.