[01] Oyelami Funmilayo Helen, Department of Mathematical and Physical Sciences, Afe Babalola University, Ado Ekiti, Nigeria.

Investigation was carried out studying magnetic field and radiative heat transfer effects on transient MHD Prandtl-Eyring radiative, incompressible, viscous and electrically conducting non-Newtonian fluid between two fixed parallel plates filled with porous medium. The formulated physical equations were solved numerically after non-dimensionalising using finite difference scheme of Crank Nicolson and the boundary condition for the fluid at the wall was assumed to be the one of slip. Numerical findings are provided with the help of graphs to discuss the effects of various flow parameters, that is, thermal radiation parameter (N), Prandtl number (Pr), Darcy number (Da), thermal Grashof number (Gr), Magnetic field parameter wall-slip parameter (λ)) as they influence the flow on velocity and temperature profiles. From the findings, it was discovered that the presence of magnetic field (M) in an electrically conducting fluid causes an increase in Lorentz force, which causes the fluid's motion to be retarded, thereby decreasing the velocity profile while increasing thermal radiation parameter (N) decreases the velocity profile and this decrease in velocity is followed by a decrease in the velocity layer. In addition, an increase in thermal Grashof number (Gr) allows the speed distribution to rise and the buoyancy force is increased by this increase while the wall-slip parameter in the lower plate gives rise to an increase in the velocity of the fluid.

Wall-slip, Porous Plates, Prandtl-Eyring Model, Magnetohydrodynamic

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