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 (βe), ionslip parameter (βi) 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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