Title: Non-linear transient hydromagnetic partially ionised dissipative Couette flow in a non-Darcian porous medium channel with Hall, ionslip and Joule heating effects

Authors: Joaquin Zueco, O. Anwar Beg, L.M. Lopez-Ochoa

Addresses: Departamento de Ingenieria Termica y de Fluidos, Technical University of Cartagena, ETSII, Campus Muralla del Mar, Cartagena 30202, Spain. ' Magnetohydrodynamics and Heat Transfer Research, Mechanical Engineering Department, Sheffield Hallam University, Harmer Building, Sheffield, South Yorkshire, S1 1WB, UK. ' Departamento de Ingenieria Mecanica, Universidad de La Rioja, C/Luis de Ulloa, 20 E-26004 Logrono (La Rioja), Spain

Abstract: We study the transient magnetohydrodynamic (MHD) viscous laminar flow and heat transfer in a channel containing a Darcy-Forchheimer porous medium, under a constant pressure gradient with Hall current, ionslip, transpiration, viscous and Joule heating. The dimensionless momentum and heat conservation equations are solved using the Network Simulation Method (NSM). The effects of a number of thermophysical parameters on the transport phenomena are studied including Darcy number (Da), Forchheimer quadratic drag number (Fs), Hartmann number (Ha), Hall current parameter (β_e), ionslip parameter (β_i) and Eckert number (Ec). The model finds applications in geophysics and MHD energy generators.

Keywords: mathematical modelling; hydromagnetic Couette flow; non-Darcy porous regime; Hall currents; ionslip currents; Forchheimer drag; MHD energy systems; geophysics; transient MHD flow; magnetohydrodynamics; viscous laminar flow; heat transfer; channels; Joule heating; network simulation method.

DOI: 10.1504/PCFD.2011.038837

Progress in Computational Fluid Dynamics, An International Journal, 2011 Vol.11 No.2, pp.116 - 129

Published online: 04 Mar 2011 *

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