Unsteady Magneto Hydro Dynamic Flow of a Second Order Fluid over an Oscillating Sheet with a Second Order Slip Flow Model

Unsteady slip-flow of second grade non-Newtonian electrically conducting fluid over an oscillating sheet has been considered and solved numerically. A second-order slip velocity model is used to predict the flow characteristic past the wall. With the assumption of infinite length in x-direction, velocity of the fluid can be assumed as a function of y and t, hence, with proper variable change partial governing equations are converted to ordinary differential equations, and resulting equations are solved numerically. Fourth-order finite difference scheme is used to solve the transformed governing equations. The effects of magnetic field applied on surface, slip flow parameters, frequency of oscillating, mass suction or injection and elastic second number on the velocity distribution are shown graphically and discussed. With increase of slip flow parameter, unlike that of other parameters, thickness of the fluid affected by motion of boundary will decrease. It is also realized that both injection and suction of mass on the sheet, will increase amplitude of velocity.