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Research Journal of Science and Technology
Year : 2015, Volume : 7, Issue : 3
First page : ( 165) Last page : ( 175)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2015.00023.6

Mixed convective elastico-viscous fluid flow past a porous plate in presence of induced magnetic field and energy dissipations

Choudhury Rita1, Debnath Kamal2, Dey Debasish3,*

1Department of Mathematics, Gauhati University, Guwahati-781 014, Assam, India

2Department of Mathematics, Royal School of Engineering and Technology, Guwahati-781 035, Assam, India

3Department of Mathematics, Dibrugarh University, Dibrugarh-786 004, Assam, India

*Corresponding Author E-mail: debasish41092@gmail.com

Online published on 29 October, 2015.

Abstract

A mixed convective hydro-magnetic flow of visco-elastic fluid past an infinite vertical porous surface with constant suction has been investigated in presence of heat and mass transfer. Visco-elastic fluid flow is characterized by Walters liquid (Model B’) for short relaxation memories. A magnetic field of strength B0 is applied along the transverse direction to the surface. To study the governing fluid motion, we have considered the effects of induced magnetic field and magnetic dissipations of energy. Mechanism of heat transfer arises from mixed convection along with dissipation of energy due to viscosity. Let Tw and Cw be respectively the temperature and the molar species concentration of the fluid at the surface. To solve the governing equations of motion, we have used multi-parameter perturbation scheme. Two non-dimensional numbers taken as perturbation parameters are Eckert number and visco-elastic parameter. The results are discussed graphically for the various values of elastico-viscous parameter along with other values of flow parameters involved in the solution.

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Keywords

Elastico-viscous, induced magnetic field, perturbation scheme, current density, Eckert number. 2000 AMS Mathematics subject classification:, 76A05, 76A10.

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