Method of Lines Analysis of Soret and Dufour Effects on an Unsteady Heat and Mass Transfer MHD Natural Convection Couette Flow
M. O. Durojaye *
Department of Mathematics, University of Abuja, Nigeria.
J. A. Kazeem
Department of Mathematics, University of Abuja, Nigeria.
F. O. Ogunfiditimi
Department of Mathematics, University of Abuja, Nigeria.
I. J. Ajie
Mathematics Programme, National Mathematical Center, Abuja, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This study examines the numerical solutions of an unsteady natural convection Couette flow of a viscous, incompressible and electrically conducting fluid between the two vertical parallel plates in the presence of thermal radiation, Soret and Dufour. The fundamental dimensionless governing partial differential equations for the impulsive movement of the plate are solved by method of lines (MOL). The numerical simulations for the effects of Soret and Dufour on the velocity profile, the temperature profile and the concentration profile of the flow are shown graphically. The analysis indicates that the fluid velocity is an increasing function of Soret and Dufour numbers. Also, the concentration profile and the temperature profile increase with increase in the Soret number and Dufour number respectively.
Keywords: MHD flow, method of lines (MOL), dufour, soret, couette flow