MHD Natural Convection Casson Fluid Flow over a Non-Isothermal Stretching Sheet Embedded in a Porous Medium
B. O. Falodun *
Department of Mathematics, University of Ilorin, Kwara State, Nigeria
M. O. Oke
Department of Mathematics, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria
O. O. Fagbohun
Department of Electrical and Electronics Engineering, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria
*Author to whom correspondence should be addressed.
Abstract
In the present study, Magnetohydrodynamics (MHD) natural convection Casson fluid flow over a non-isothermal stretching sheet embedded in a porous medium is considered. The set of governing differential equations are simplified by similarity variables into coupled ordinary differential equations. The defined stream functions satisfied the continuity equation. Roseland approximation is utilized and the present study is therefore limited to an optically thick fluid. The transformed set of coupled nonlinear ordinary differential equations are then solved numerically via spectral homotopy analysis method (SHAM). Results revealed that the Magnetic parameter (M) reduces the velocity profile but produce a significant increase in the temperature profile. Also, it is observed that increasing the thermal radiation parameter increases the thermal condition of the fluid.
Keywords: MHD, Porous medium, SHAM, Viscous, incompressible, heat transfer, natural convection