The Transient MHD Flow Generated by a PeriodicWall Motion in a Porous Space


1 Department of Mathematics, School of Science and Technology, The Federal Polytechnic Bauchi, P.M.B. 0231, Off Dass Road, Bauchi, Nigeria

2 School of Mathematical Sciences,Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia

3 Centre for Research in Computational Mathematics, Universiti Tun Hussein Onn Malaysia, 86400 Batu Pahat, Johor, Malaysia


The problem of transient flow of incompressible third grade fluid on the two-dimensional magnetohydrodynamic (MHD) flow in a porous space is analyzed. The flow is generated due to the motion of the plate in its plane with a periodic velocity. Under the flow assumptions, the governing nonlinear partial differential equation is transformed into steady-state and transient nonlinear equations. The reduced equation for the transient flow is solved analytically using symmetry approach while the nonlinear steady-state equation is solved using a modified version of He’s homotopy perturbation method. The effect of several operating parameters on the flow hydromagnetic is discussed. The results indicated that for the considered case, t = 1:5 is the moment after which the time-dependent transient motion of the fluid can be approximated with the steady-state motion, described by the steady-state solution. It is clear that, after this value of time t the time-dependent transient solution can be neglected.