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

Publish Year: 1394
Type: Journal paper
Language: English
View: 162

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Document National Code:

JR_JAFM-9-1_050

Index date: 25 January 2022

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

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.

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

M. Abdulhameed

Department of Mathematics, School of Science and Technology, The Federal Polytechnic Bauchi, P.M.B. ۰۲۳۱, Off Dass Road, Bauchi, Nigeria

H. Saleh

School of Mathematical Sciences,Universiti Kebangsaan Malaysia, ۴۳۶۰۰ Bangi Selangor, Malaysia

I. Hashim

School of Mathematical Sciences,Universiti Kebangsaan Malaysia, ۴۳۶۰۰ Bangi Selangor, Malaysia

R. Roslan

Centre for Research in Computational Mathematics, Universiti Tun Hussein Onn Malaysia, ۸۶۴۰۰ Batu Pahat, Johor, Malaysia