Abstract
This paper deals with the study of an unsteady magnetohydrodynamic (MHD) flow and heat transfer of a reactive, viscous, incompressible, electrically conducting fluid between two infinitely long parallel porous plates where one of the plates is set into impulsive/uniformly accelerated motion in the presence of a uniform transverse magnetic field at the Arrhenius reaction rate, with the Hall currents taken into account. The transient momentum equations are solved analytically with the use of the Laplace transform technique, and the velocity field and shear stresses are obtained in a unified closed form. The energy equation is tackled numerically using Matlab. The effects of the pertinent parameters on the fluid velocity, temperature, shear stresses, and the heat transfer rate at the plates are investigated. The results reveal that the combined effects of magnetic field, suction/injection, exothermic reaction, and variable thermal conductivity have a significant impact on the hydromagnetic flow and heat transfer.
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