Abstract
The present work is concerned with unsteady 2-dimensional laminar free convection flow of an incompressible, viscous, electrically conducting (Newtonian or polar) fluid through a porous medium bounded by an infinite vertical plane surface of constant temperature. A uniform magnetic field acts perpendicular to the surface which absorbs the fluid with a suction velocity varying periodically with time about a non-zero constant mean value. The equations of conservation of mass, momentum, angular velocity, and energy, which govern the flow and heat transfer problem, are solved analytically using regular perturbation techniques. The effects of material parameters such as Grashof number, Prandtl number, permeability parameter, suction parameter, and magnetic parameter on the velocity, angular velocity, and temperature are discussed. Numerical results are presented graphically and discussed.
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