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Combined MHD and Pulsatile Flow on Porous Medium

A. Khechiba1, Y. Benakcha1, A. Ghezal1, P. Spetiri2
Laboratoire de Mécanique des Fluides Théorique et Appliquée LMFTA, Faculté de physique, Université des sciences et de la technologie Houari Boumediene Bab Ezzouar, Alger, Algérie.
Institut de Recherche en Informatique de Toulouse IRIT, ENSEEHIT, Toulouse F -31000, France.
* Corresponding Author: A. Khechiba. Email: .

Fluid Dynamics & Materials Processing 2018, 14(2), 137-154. https://doi.org/ 10.3970/fdmp.2018.04054

Abstract

This work investigates the dynamic behavior of a pulsatile flow electrically conducting through porous medium in a cylindrical conduit under the influence of a magnetic field. The imposed magnetic field is assumed to be uniform and constant. An exact solution of the equations governing magneto hydro-dynamics (MHD) flow in a conduit has been obtained in the form of Bessel functions. The analytical study has been used to establish an expression between the Hartmann number, Darcy number and the stress coefficient. The numerical method is based on an implicit finite difference time marching scheme using the Thomas algorithm and Gauss Seidel iterative method for solving the resulting algebraic system of equations. The results show that the flow behavior is strongly affected by the permeability parameter of medium porosity and the Hartmann number. It has also shown that the stress coefficient has a sinusoidal aspect and it increases with decreasing Darcy number.

Keywords

Pulsatile flow, stress coefficient, permeability, magnetic field, analytical solution, finite difference.

Cite This Article

Khechiba, A., Benakcha, Y., Ghezal, A., Spetiri, P. (2018). Combined MHD and Pulsatile Flow on Porous Medium. FDMP-Fluid Dynamics & Materials Processing, 14(2), 137–154.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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