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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v42.i4.30
pages 315-333

Effects of Thermal Radiation and Chemical Reaction on Steady MHD Mixed Convective Flow over a Vertical Porous Plate with Induced Magnetic Field

Dipak Sarma
Department of Mathematics, Cotton College (Gauhati University) Guwahati-781001, Assam, India
Kamalesh K. Pandit
Department of Mathematics, Cotton College (Gauhati University) Guwahati-781001, India; Department of Mathematics, PDUAM, Eraligool Karimganj 788723, Assam, India

ABSTRACT

The objective of the present study is to investigate the effect of chemical reaction and radiation on the laminar mixed free-force convection flow of a viscous incompressible electrically conducting fluid above a vertical porous plate under the action of a transverse applied magnetic field. The governing non-dimensional equations relevant to the problem, containing partial differential equations are simplified first by Boussinesq's approximation and are transformed by usual similarity transformations into a system of coupled non-linear ordinary differential equations. In the presence of transverse magnetic field, the dimensionless governing equations are solved analytically by using regular perturbation technique with Eckert number Ec << 1 as perturbation parameter. The effects of thermal radiation and chemical reaction are taken into account in presence of induced magnetic field. Under certain assumptions, the solution for velocity field, temperature distribution, concentration field and induced magnetic field to the second approximations are obtained. The influences of the various parameters entering into the problem on the velocity, temperature and concentration fields and on induced magnetic fields are studied graphically. It is found that the magnitude of the velocity, the temperature and the induced magnetic field are reduced considerably with a rise in the radiation parameter N or the chemical reaction parameter K or the magnetic parameter M. Also, an increase in the chemical reaction parameter K produces a decrease in the concentration of the fluid flow. The effects of various parameters on the skin friction coefficient τ, Nusselt Number Nu and Sherwood Number Sh are presented in tabular form.


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