The exact analytical solutions are developed for the magnetohydrodynamic (MHD) flows of
the second grade fluid in a porous medium. The analysis is performed using modified
Darcy's law and takes into account the effect of the Hall current. Closed form solutions are
given for three problems using the Fourier sine transform. Comparison has been made with
the existing results and are found to be in excellent agreement. The graphs are plotted for
various emerging parameters and discussed.