A STUDY OF MAGNETOHYDRODYNAMIC POUISILLE FLOW OF A THIRD-GRADE FLUID IN NON-DARCIAN POROUS PLATES WITH SLIP EFFECT AND HEAT TRANSFER

In this paper, the MHD Pouisille flow of a third-grade fluid in a non-Darcian porous plate with a slip effect has been studied. The flow flux and the heat transfer analysis were carried out. The governing non-linear ordinary differential equations (ODE) were non-dimensionalize and the resulting ODE is solved by perturbation techniques. The result obtained was illustrated and presented in form of graphs. The effect of various governing flow parameters on velocity and temperature profile was taken into account. It is found that the effect of cross Renold's number, the porosity of the medium, and the Magnetic parameter are to slow down the velocity profile of the fluid while it increases with an increase in Darcy's number and slip parameter. Also, it is noticed that the temperature profile of the fluid increases with the increase in the value of the Prandtl number.