MHD flow of a third grade fluid in a porous half space with plate suction or injection: An analytical approach

The present work deals with the modeling and solution of the unsteady flow of an incompressible third grade fluid over a porous plate within a porous medium. The flow is generated due to an arbitrary velocity of the porous plate. The fluid is electrically conducting in the presence of a uniform magnetic field applied transversely to the flow. Lie group theory is employed to find symmetries of the modeled equation. These symmetries have been applied to transform the original third order partial differential equation into third order ordinary differential equations. These third order ordinary differential equations are then solved analytically and numerically. The manner in which various emerging parameters have an effect on the structure of the velocity is discussed with the help of several graphs.