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MHD Natural Convection Heat and Mass Transfer Flow Past a Time Dependent Moving Vertical Plate with Ramped Temperature in a Rotating Medium with Hall Effects, Radiation and Chemical Reaction

Published online by Cambridge University Press:  21 October 2014

G. S. Seth  and
S. Sarkar
G. S. Seth*
Affiliation:
Department of Applied Mathematics, Indian School of Mines, Dhanbad, India
S. Sarkar
Affiliation:
Department of Applied Mathematics, Indian School of Mines, Dhanbad, India
*
* Corresponding author ([email protected]
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Abstract

An investigation of unsteady hydromagnetic natural convection heat and mass transfer flow of an electrically conducting, viscous, incompressible and optically thick radiating fluid past an impulsively moving infinite vertical plate embedded in a uniform porous medium in a rotating system with Hall effects in the presence of homogeneous first order chemical reaction is carried out when temperature of the plate has a temporarily ramped profile. Exact solution of the governing equations is obtained in closed form by Laplace transform technique. Expressions for skin friction due to primary and secondary flows and Nusselt number are derived for both ramped temperature and isothermal plates. Expression for Sherwood number is also derived. The numerical values of primary and secondary fluid velocities, fluid temperature and species concentration are displayed graphically whereas those of skin friction are presented in tabular form for various values of pertinent flow parameters. In order to highlight the influence of ramped temperature distribution within the plate on the flow-field, the fluid flow past a ramped temperature plate is compared with the one past an isothermal plate.

Keywords

Hall currentCoriolis forceChemical reactionRamped wall temperature
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 1 , February 2015 , pp. 91 - 104
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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