Three Dimensional Second Grade Fluid Flow Between Two Parallel Horizontal Plates with Periodic Suction/Injection in Slip Flow Regime

Abstract

Three dimensional incompressible second grade fluid flow between two parallel horizontal permeable plates is developed and analyzed theoretically. The flow turns into three dimensional due to the application of sinusoidal normal injection at the stationary plate lying downside and its resultant removal by suction over the higher plate in moving with uniform velocity. The equations of motion are solved through regular perturbation method. The dependence of velocity components along main flow direction through parallel porous plates on flow parameters such as slip parameter, Reynolds number, suction/injection parameter and non Newtonian parameter are discussed graphically. It is noted that slip enhances the main flow component of velocity.