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Free convection flow of thermomicropolar fluid along a vertical plate with nonuniform surface temperature and surface heat flux

M. A. Hossain (Department of Mathematics, University of Dhaka, Dhaka, Bangladesh)
M.K. Chowdhury (Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka, Bangladesh)
R.S.R. Gorla (Department of Mechanical Engineering, Cleveland State University, Cleveland, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 August 1999

160

Abstract

We determine the effects of micro‐inertia density and the vortex viscosity on laminar free convection boundary layer flow of a thermomicropolar fluid past a vertical plate with exponentially varying surface temperature as well as surface heat flux. The governing nonsimilarity boundary layer equations are analyzed using: first, a series solution for small ξ (a scaled streamwise distribution of micro‐inertia density), second, an asymptotic solution for large ξ and, third, a full numerical solution implicit finite difference method together with Keller‐box scheme. Results are expressed in terms of local skin friction and local Nusselt number. The effects of varying the vortex viscosity parameter, Δ, surface temperature and the surface heat flux gradient n and m respectively against ξ for fluids having Prandtl number equals 0.72 and 7.0 are determined.

Keywords

Citation

Hossain, M.A., Chowdhury, M.K. and Gorla, R.S.R. (1999), "Free convection flow of thermomicropolar fluid along a vertical plate with nonuniform surface temperature and surface heat flux", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 9 No. 5, pp. 568-585. https://doi.org/10.1108/09615539910276854

Publisher

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MCB UP Ltd

Copyright © 1999, MCB UP Limited

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