Magnetic Effects on Laminar Free Convective Heat and Mass Transfer over a Vertical Plate with Arrhenius Kinetics

Oyem O. Anselm

ABSTRACT


Abstract

The present paper investigated heat and mass transfer characteristics of free convection, steady two-dimensional laminar flow of an incompressible reacting fluid over a vertical plate under the influence of magnetic field, buoyancy and thermal conductivity. The governing partial differential equations of the problem, using similarity transformations, were reduced to a couple nonlinear ordinary differential equations and solved numerically by Runge-Kutta fourth order method with shooting technique. The solution was found to be dependent on several governing parameters, including the magnetic field parameter, Grashof number, Prandtl number, activation energy parameter and Frank-Kamenetskii parameter. The numerical results concerned with velocity and temperature profiles effects of various parameters on the flow field were investigated and presented in table and displayed graphically.

Keywords: Reacting flow; Convection; Thermal conductivity; Frank-Kamenetskii parameter; Activation energy.