Abstract

Purpose: This paper deals with the steady mixed convective hydromagnetic flow past a vertical porous plate embedded in a homogeneous porous medium in presence of source and sink. Findings: The objective is to obtain the solution by using homotopy analysis method. The zeroth order and mth order deformations equations are obtained by using HAM.

Highlights

  • IntroductionNonlinear partial differential equations are partial differential equations with nonlinear terms

  • In mathematics and physics, nonlinear partial differential equations are partial differential equations with nonlinear terms

  • Reviews and the applications related to convective flows in porous media and/or magnetic field are available in Rosa, Bejan, Kaviany, Vafai, Nield and Bejan, Ferraro and Plumpton

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Summary

Introduction

Nonlinear partial differential equations are partial differential equations with nonlinear terms. A few nonlinear differential equations have known exact solutions, but many which are important in applications do not Sometimes these equations may be linearized by an expansion process in which nonlinear terms are discarded. Many efforts have been made by researchers to find ways to solve these non-linear equations or to reduce the error in the solutions These methods are widely used in engineering problems. Especially in thermo-convection regimes and in nuclear, geophysical and naval energy systems Among these methods, the homotopy analysis method and the homotopy perturbation method are two powerful methods, which give acceptable analytical results with convergence and stability. Singh and coauthor have studied convective flow problems under different physical situations including some models, where in the use of homotopy analysis method and similarity transformation followed by perturbation technique have been made. The zeroth order and mth order deformations equations are obtained by using HAM

Mathematical Formulation
KT ρCP
PrF dG dξ
Solution of the Problem
Zeroth order deformation equations
Solution by Analytic Approximation Method
Conclusion
Full Text
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