Title: Mixed convection in a lid-driven and inclined square enclosure under a magnetic field

Authors: Mehmet Cem Ece, Elif Buyuk Ogut

Addresses: Department of Mechanical Engineering, Trakya University, 22030 Edirne, Turkey. ' Vocational School of Gebze, Kocaeli University, 41420 Gebze-Kocaeli, Turkey

Abstract: Steady, laminar, mixed convection flow under the presence of a magnetic field of arbitrary direction in an inclined square enclosure with isothermally heated and moving side walls, and stationary and adiabatic horizontal walls was considered. The governing equations were solved numerically for the stream function, vorticity and temperature using the differential quadrature method for various Reynolds, Grashof and Hartman numbers and inclination angle of the enclosure. The results showed that the movement of the side walls of the enclosure has a significant effect on the flow and temperature fields. Magnetic field applied parallel to the side walls is more effective in reducing the heat transfer rate. Counterclockwise inclination of the enclosure increases the average Nusselt number while clockwise inclination reduces it.

Keywords: mixed convection; shear force; buoyancy; magnetic fields; inclined enclosures; square enclosures; laminar flow; stream function; vorticity; temperature; side walls; heat transfer.

DOI: 10.1504/PCFD.2009.022307

Progress in Computational Fluid Dynamics, An International Journal, 2009 Vol.9 No.1, pp.43 - 51

Published online: 29 Dec 2008 *

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