Influence of a partial slip on flows of a second grade fluid in a porous medium

In this article, exact analytical solutions for general periodic flows of a second grade fluid are obtained in the presence of partial slip and a porous medium. Three types of flow problems are considered. The exact solutions of the flow problems are obtained using Fourier transform treatment. Moreover, some flows generated by certain special oscillations are also included in each case. It is found that the velocity profile is of the wave nature and that amplitude of the wave decreases when the partial slip parameter increases.