Nonsimilar, laminar, steady, electrically-conducting forced convection liquid metal boundary layer flow with induced magnetic field effects

BEG, O. A., BAKIER, A. Y., PRASAD, V. R., ZUECO, J. and GHOSH, S. K. (2009). Nonsimilar, laminar, steady, electrically-conducting forced convection liquid metal boundary layer flow with induced magnetic field effects. International Journal of Thermal Sciences, 48 (8), 1596-1606.

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Abstract

A nonsimilar steady laminar boundary layer model is described for the hydromagnetic convection flow of a Newtonian, electrically-conducting liquid metal past a translating, non-conducting plate with a magnetic field aligned with the plate direction. The non-dimensional boundary layer equations are solved with the Sparrow-Quack-Boerner local nonsimilarity method (LNM). An increase in magnetic Prandtl number (Pr-m) is found to strongly enhance wall heat transfer rate (Nu(x)Re(x)(-1/2)), velocity (f') and induced magnetic field function (g), but exerts negligible influence on the temperature (theta) in the boundary layer. A rise in magnetic force number (beta) increases velocity, f', shear stress function, f '', and wall heat transfer gradient, i.e. Nu Rex_, but reduces magnetic field function, g and temperature, theta. increasing ordinary Prandtl number (Pr), decreases temperature, theta, but increases wall heat transfer rate (Nu(x)Re(x)(-1/2)). An increase in wall to free stream velocity ratio parameter, zeta, increases flow velocity. f', and induced magnetic field gradient, g' for small xi but reduces g' for larger xi, and also boosts the wall temperature gradient, Nu(x)Re(x)(-1/2). The model has potential applications in astronautical magneto-thermo-aerodynamics, nuclear reactor channel flow control with magnetic fields and MHD (magnetohydrodynamic) energy generators. (C) 2008 Elsevier Masson SAS. All rights reserved.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.1016/j.ijthermalsci.2008.12.007
Depositing User:	Ann Betterton
Date Deposited:	25 Mar 2010 11:55
Last Modified:	25 Mar 2010 11:55
URI:	http://shura.shu.ac.uk/id/eprint/1323

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