Steady MHD Fluid Flow in a Bifurcating Rectangular Porous Channel
W. I. A. Okuyade *
Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria
T. M. Abbey
Applied Mathematics and Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
*Author to whom correspondence should be addressed.
Abstract
Steady MHD fluid flow in a bifurcating rectangular porous channel is presented. The governing nonlinear equations are solved analytically by the methods of similarity transformation and regular perturbation series expansions. Expressions for the temperature, concentration and velocity are obtained and analyzed graphically. The results show that increase in bifurcation angle and Grashof numbers increase the transport velocity, whereas the increase in the magnetic field parameter decreases it. Furthermore, it is seen that an increase in bifurcation angle increases the temperature of the flow.
Keywords: Bifurcation, MHD, porous channel, perturbation method, similarity transformation, steady flow