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MHD Double Diffusive Natural Convection Flow Over Exponentially Accelerated Inclined Plate

Published online by Cambridge University Press:  05 August 2016

G. S. Seth ,
R. Tripathi ,
R. Sharma  and
A. J. Chamkha
G. S. Seth*
Affiliation:
Department of Applied MathematicsIndian School of MinesDhanbad, India
R. Tripathi
Affiliation:
Department of Applied MathematicsIndian School of MinesDhanbad, India
R. Sharma
Affiliation:
Department of Applied MathematicsIndian School of MinesDhanbad, India
A. J. Chamkha
Affiliation:
Mechanical Engineering DepartmentPrince Mohammad Bin Fahd UniversityAl-Khobar, Kingdom of Saudi Arabia
*
*Corresponding author ([email protected])
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Abstract

An investigation of unsteady MHD double diffusive natural convection flow of a viscous, incompressible, electrically conducting, heat absorbing, radiating and chemically-reactive fluid past an exponentially accelerated moving inclined plate in a fluid-saturated porous medium, when the temperature of the plate and the concentration at the surface of the plate have ramped profiles, is carried out. Exact solutions for the fluid velocity, fluid temperature and the species concentration, under Boussinesq approximation, are obtained in closed form by the Laplace transform technique. The expressions for the shear stress, rate of heat transfer and the rate of mass transfer at the plate are also derived. Numerical evaluations of the fluid velocity, fluid temperature and the species concentration are performed and displayed graphically whereas those of the shear stress, rate of heat transfer and the rate of mass transfer at the plate are presented in tabular form for various values of the pertinent flow parameters.

Keywords

Thermal radiationChemical reactionRamped temperatureRamped surface concentration
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 1 , February 2017 , pp. 87 - 99
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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