Radiation and Chemical Reaction Effects on Unsteady MHD Free Convection Parabolic Flow Past an Infinite Isothermal Vertical Plate with Viscous Dissipation

Author:

Reddy B. Prabhakar1

Affiliation:

1. Department of Mathematics, College of Natural and Mathematical Sciences , The University of Dodoma , P. Box. No: 338, Dodoma , Tanzania ; Geethanjali College of Engineering and Technology , Cheeryal (V), Keesara (M), Medchal (Dist) - 501301 , Telangana, India

Abstract

Abstract The numerical investigation of the effects of radiation and chemical reaction on an unsteady MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical porous plate taking into account the viscous dissipation effect has been carried out. The fluid is considered a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing equations for this investigation are solved numerically by applying the Ritz finite element method. Numerical results for the velocity profiles, temperature profiles and concentration profiles as well as the skin-friction are presented through graphs and tables for different values of the physical parameters involved. Results obtained show a decrease in the temperature and velocity in the boundary layer as the radiation parameter increased. The velocity increases with an increase in the thermal and mass Grashof numbers and decreases with an increase in the magnetic parameter. Further, the concentration and velocity decreases with increasing the Schmidt number and chemical reaction parameter. These findings are in very good agreement with the studies reported earlier.

Publisher

Walter de Gruyter GmbH

Subject

Fluid Flow and Transfer Processes,Transportation,Civil and Structural Engineering

Reference25 articles.

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2. [2] Shanker R.T. and Gnaneshwar R.M. (2007): Radiation effects on MHD flow past an impulsively started infinite vertical plate through a porous medium with variable temperature and mass diffusion. − J. Pure and Appl. Phys., vol.19, No.3, pp.191-200.

3. [3] Bear J. (1998): Dynamics of Fluids in Porous Media. − New York: Dover.

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