Steady State Solutions of MHD Stokes Problems for Generalized Burgers Fluids Through Porous Media

Stokes’ problems for the incompressible generalized Burgers fluids are investigated when magnetic and porous effects are taken into account. Non-dimensional exact expressions are provided for the components of velocity, non-trivial shear stress and Darcy’s resistance. They can immediately be particularized to recover similar solutions for the viscous, second grade, Maxwell, Oldroyd-B and Burgers fluids. For their validation, the solutions are given in two forms whose equivalence has been proved in a graphical manner. The results, which correct previous solutions from the existing literature, can be useful for the experimental researchers who want to know the need time to touch the steady state and to bring to light the influence of porous medium and magnetic field on the flow resistance of the fluid. Finally, by graphical illustrations, it was shown that the flow resistance of fluid enhances through porous media and decreases when a magnetic field is present.