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research-article

Magnetohydrodynamic Mixed Convective Flow Due to A Vertical Plate With Induced Magnetic Field

[+] Author and Article Information
Raj Nandkeolyar

School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, India
rajnandkeolyar@gmail.com

Mahesha Narayana

Department of Mathematics, M. S. Ramaiah University of Applied Sciences, Peenya Campus, Bengaluru-560058, India
narayanamahesha@gmail.com

Sandile S Motsa

Mathematics Department, University of Swaziland, Private Bag 4, Kwaluseni, Swaziland; School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africa
sandilemotsa@gmail.com

Precious Sibanda

School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africa
sibandap@ukzn.ac.za

1Corresponding author.

ASME doi:10.1115/1.4040644 History: Received December 27, 2017; Revised May 01, 2018

Abstract

The steady hydromagnetic flow of a viscous, incompressible, perfectly conducting and heat absorbing fluid past a vertical flat plate under the influence of an aligned magnetic field is studied. The flow is subject to mixed convective heat transfer. The fluid is assumed to have a reasonably high magnetic Prandtl number which causes significant induced magnetic field effects. Such fluid flows find application in many magnetohydrodynamic devices including MHD power-generation. The effects of viscous dissipation and heat absorption by the fluid are investigated. The governing non-linear partial differential equations are converted into a set of non-similar partial differential equations which are then solved using a Spectral quasi-linearization method (SQLM). The effects of the important parameters on the fluid velocity, induced magnetic field, fluid temperature and as well as on the coefficient of skin-friction and the Nusselt number are discussed qualitatively.

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