Unsteady MHD free convection flow and heat transfer along an infinite vertical porous plate under Arrhenius kinetics

Abstract

Steady free convection flow of an electrically conducting fluid along an infinite vertical porous plate under Arrhenius kinetics are investigated in the presence of strong transverse magnetic field imposed perpendicularly to the plate .A similarity parameter length scale (h) as a function of time and the suction velocity are considered to be inversely proportional to this parameter. The coupled non-linear ordinary differential equations obtained are solved numerically using symbolic algebra package (MAPLE).The effects of various parameters on the velocity and temperature distributions are presented in graphs. The results show that (i)the velocity and the temperature of the fluid decrease with the increase in prandtl number (ii) fluid velocity decreases due to increase in the Hartmann number (iii) fluid velocity increases due to increase in Grashof number which agrees with natural phenomena because of the buoyancy force which assist the flow.

Journal of the Nigerian Association of Mathematical Physics, Volume 15 (November, 2009), pp 477 - 484