Homotopy analysis method for solving MHD free convection flow from a cooling sheet

Volume 3, Issue 1, pp 39--47 http://dx.doi.org/10.22436/mns.03.01.05

Publication Date: August 07, 2019 Submission Date: October 31, 2016 Revision Date: February 14, 2017 Accteptance Date: July 24, 2017

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Authors

Zakia Hammouch - E3MI, Departement de mathematique, FST Errachidia, Universite Moulay Ismail, BP. 509, Boutalamine, 52000 Errachidia, Morocco. Toufik Mekkaoui - E3MI, Departement de mathematique, FST Errachidia, Universite Moulay Ismail, BP. 509, Boutalamine, 52000 Errachidia, Morocco. Hssain Sadki - Departement d'Informatique, FST Errachidia, Universite Moulay Ismail, BP. 509, Boutalamine, 52000 Errachidia, Morocco.

Abstract

In this paper, we investigate the problem of MHD free convection cooling of a low-heat-resistance sheet that moves downwards in a viscous fluid. The basic equations are converted into coupled ordinary differential equations via the similarity transformation, and solved analytically using homotopy analysis method (HAM). The obtained analytical solutions for both of the velocity and the temperature with different values of the Prandtl number \(Pr\) and the magnetic parameter \(M\) are plotted and discussed in detail.

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Keywords

• Homotopy analysis method
• cooling
• MHD flow
• similarity solution

MSC

•  35C10
•  76W05
•  76M55
•  80A20

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