Magnetic field effects on unsteady convectively driven flow past an infinite vertical cylinder in the presence of chemical reaction

R. K. Deka¹ - A. Paul²

¹ Department of Mathematics, Gauhati University, Guwahati-781014, India
² Department of Mathematical Sciences, Bodoland University, Kokrajhar-783370, India

Abstract
An exact analysis is performed to study the unsteady one-dimensional MHD free convective flow past an infinite vertical cylinder in the presence of homogeneous chemical reaction of first order. Analytical solutions of the unsteady governing linear equations are obtained by Laplace transform technique. Transient velocity, temperature, concentration profiles, skin friction, Nusselt and Sherwood numbers are presented for various physical parameters, such as thermal Grashof number, mass Grashof number, chemical reaction parameter, magnetic parameter, Prandtl number and Schmidt number. It is observed that the velocity field decreases with the increase in chemical reaction parameter as well as in magnetic field parameter. Further, it is shown that as the time progresses, the velocity, temperature and the concentration approach the steady state. Figs 14, Refs 17.