Abstract
A problem describing the oscillating flow of an incompressible magnetohydrodynamic second-grade fluid in a porous medium with combined effect of heat and mass transfer in the presence of radiation is investigated. Exact solutions for cosine oscillations are obtained via the Laplace transform method. The obtained starting solutions are explicitly expressed as the sum of steady state and transient solutions. It is shown that previous results for a nonporous medium and hydrodynamic fluid are the limiting cases of the present problem. The effects of different parameters for velocity are plotted and discussed physically.