unsteady magneto hydro dynamic flow of a second order fluid over an oscillating sheet with a second order slip flow model

eunsteady 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 over the wall. with the assumption of infinite length in the x-direction, the velocity of the fluid can be assumed as a function of y and t, hence, with proper change variable 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 equations. the effects of the magnetic field applied on the surface, slip flow parameters, the frequency of oscillating, mass suction or injection and elastic second number on the velocity distribution are shown graphically and discussed. with the increase of slip flow parameter, unlike that of other parameters, the thickness of the fluid affected by the motion of boundary will decrease. it is also realized that both injection and suction of mass on the sheet, will increase the amplitude of velocity. keywords: unsteady flow; mhd flow; second order fluid; slip parameters; magneto hydro dynamic flow