Aligned Magnetic Field Effect on Unsteady MHD Natural Convection Flow of a Chemically Reacting, Radiative and Dissipative Fluid Past a Porous Vertical Plate in the Presence of Constant Heat and Mass Flux

R.Chandra Sekhar Reddy*, K.Jayarami Reddy**, M.S.N. Reddy***
* Department of Mathematics, Priyadarshini Institute of Technology, Tirupati, A.P, India.
** Department of Mathematics, K.L University, Guntur, A.P, India.
*** Department of Mathematics, JNTUA College of engineering, Pulivendula, A.P, India.
Periodicity:October - December'2014
DOI : https://doi.org/10.26634/jmat.3.4.3186

Abstract

The analytical results are investigated for an unsteady MHD free convection heat and mass transfer flow of a viscous, dissipative incompressible fluid past an infinite vertical plate through porous medium. The presence of thermal radiation, chemical reaction, joules heating are considered along with aligned magnetic field effect and constant heat and mass flux. The non dimensional governing equations are reduced to a set of ordinary differential equation by using a multiple parameter perturbation technique. The expansion for the velocity, the temperature and the concentration are obtained with reference to the assumed boundary conditions. The expressions for Skin friction, Nusselt number and Sherwood number are also derived. The consequences of varied physical parameters like magnetic parameter (M), Radiation parameter (R), Grashof number (Gr), Sharewood number (Gm), Prandtl number (Pr), Eckert number (Ec), and heat source parameter on the flow quantified are studied numerically with the help of tables and graphs.

Keywords

MHD Flow, Free Convection, Heat and Mass Transfer, Aligned Magnetic Field, Heat Flux, Mass Flux, Chemical Reaction, Radiation, Joule effect, Viscous Dissipation.

How to Cite this Article?

Reddy, R.C.S., Reddy, K.J., and Reddy, M.S.N. (2014). Aligned Magnetic Field Effect on Unsteady MHD Natural Convection Flow of a Chemically Reacting, Radiative and Dissipative Fluid Past a Porous Vertical Plate in the Presence of Constant Heat and Mass Flux. i-manager’s Journal on Mathematics, 3(4), 27-41. https://doi.org/10.26634/jmat.3.4.3186

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