Abstract
This study investigates the unsteady, magnetohydrodynamic, incompressible, Couette flow of viscoelastic fluid through equidistant upright plates in the presence of permeable media, continuous heat fluxes, heat source, and energy dissipation. The flow is restricted by the flow between two equidistant upright plates, one moving and the other at rest, and the formation of free convection due to a fixed wall at a time-dependent temperature, while heat flow is constant on the wall moving upwards in its plane. The problem is solved analytically, and the expression for velocity and temperature are derived. The effect of numerous physical parameters on the flow is discussed. The local skin friction is also represented graphically, and the Nusselt number is given in the table.
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