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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 57, 2010 - Issue 10
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Original Articles

DRBEM Solution of the Natural Convective Flow of Micropolar Fluids

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Pages 777-798 | Received 23 Mar 2009, Accepted 11 Mar 2010, Published online: 04 Jun 2010
 

Abstract

The main purpose of this article is to present the use of the dual reciprocity boundary element method (DRBEM) in the analysis of the unsteady natural convective flow of micropolar fluids in a differentially heated rectangular cavity. The finite-difference method (FDM) is used for time discretization. All the convective terms and vorticity boundary condition are evaluated in terms of DRBEM coordinate matrix. Solutions are obtained for several values of microstructure parameter (k), Rayleigh number (Ra), and aspect ratio (A). Prandtl number values are taken as 0.71 and 7.0. The heat transfer rate (average Nusselt number) of micropolar fluids is found to be smaller than that of Newtonian fluid. Numerical results at steady-state are given in terms of streamlines, isotherms, vorticity contours, and velocity profiles, as well as a table containing Nusselt number values for several Ra and k.

Table 1 and Figure 3 contain results from the article given as reference [Citation10]. Copyright Elsevier Ltd. The article and the permission from Elsevier Ltd. are gratefully acknowledged.

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