Abstract
The present investigation explores the unsteady magnetohydrodynamic (MHD) free convective oscillating flow of an optically thin incompressible viscous fluid embedded in two parallel porous walls under the influence of an externally applied transverse magnetic field with a chemical reaction. The radiative heat flux and heat absorption effects are taken into account. The governing equations are solved for the velocity, temperature, and concentration distributions making by making use of the Laplace transformation methodology. The impacts of a combined of relevant flow parameters on concentration, temperature, and velocity distribution are discussed with pertinent non-dimensional parameters. Also, the friction factor coefficient, Nusselt number, and Sherwood number are found and explored in tabular format. The magnitude of the velocity field is climbing with an increase in permeability parameters, and thermal and solutal buoyancy forces. Heat absorptions coefficient and Prandtl number are increasing, which reduces the temperature. Also, the skin friction coefficient strengthens with mounting in the Hartmann number.
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