The Effect of Slip Condition, Radiation and Chemical Reaction on Unsteady MHD Periodic Flow of a Viscous Fluid through Saturated Porous Medium in a Planer Channel

Tavva Sudhakar Reddy*, M. C. Raju**, S. Vijaya Kumar Varma***
* Department of Mathematics, Shree Rama Educational Society Group of institutions, Tirupathi,Chittor District, Andhra Pradesh, India.
** Department of Mathematics, Annamacharya Institute of Technology and Sciences Rajampet, Kadapa District, Andhra Pradesh, India.
*** Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh, India.
Periodicity:January - March'2012
DOI : https://doi.org/10.26634/jmat.1.1.1665

Abstract

In this paper the effect of slip condition, Chemical reaction, radiation and unsteady periodic flow of a viscous incompressible fluid through a porous medium in the presence of magnetic field is studied. The governing equations have been solved by general perturbation technique. The analytical solutions for velocity, temperature, concentration are presented and the effects of various physical parameters like Hartmann number M, Reynolds number Re,, Grashof number Gr, modified Grashof number Gm, permeability parameter k , the chemical reaction parameter kc, and Schmidt number on velocity, temperature and concentration are studied though graphs. The expression for skin friction is also derived and the effects of various physical parameters mentioned above are discussed. It is observed that the velocity of a fluid increases with an increase in slip parameter h, and it shows reverse effect in the case magnetic parameter M and concentration decreases with an increase in chemical reaction parameter kc.

Keywords

Chemical reaction, MHD, Radiation, Porous medium and Heat and Mass transfer.

How to Cite this Article?

Reddy, T.S., Raju, M.C., and Varma, S.V.K. (2012). The Effect of Slip Condition, Radiation and Chemical Reaction on Unsteady MHD Periodic Flow of a Viscous Fluid Through Saturated Porous Medium in a Planer Channel. i-manager’s Journal on Mathematics, 1(1), 18-28. https://doi.org/10.26634/jmat.1.1.1665

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