Numerical Investigation of Unsteady Pulsatile Transport of a Magnetohydrodynamic Fluid in an Inclined Porous Tube under the Influence of Periodic Body Acceleration

Abstract

This paper presents a comprehensive numerical study of the unsteady pulsatile transport of an electrically conducting fluid in an inclined porous tube. The flow is driven by pulsatile pressure gradient, periodic body acceleration and an externally applied magnetic field. The governing equations are modeled using Ohm’s law, Brinkman-extended Darcy law and Navier-Stokes equations. The pulsatile pressure gradient, periodic body acceleration, effect of gravity and horizontal inclination factors are taken into account in this study. The resulting partial differential equation is solved by weighted residual Galerkin finite element method and to deal with the transient condition Crank-Nicholson scheme is used. The computational results are presented graphically and effect of various emerging parameters on the flow characteristics is discussed.