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Unsteady Natural Convection Flow in a Square Cavity Filled with a Porous Medium Due to Impulsive Change in Wall Temperature

Kumari, M and Nath, G (2009) Unsteady Natural Convection Flow in a Square Cavity Filled with a Porous Medium Due to Impulsive Change in Wall Temperature. In: Transport in Porous Media, 77 (3). pp. 463-474.

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Abstract

Unsteady natural convection flow in a two- dimensional square cavity filled with a porous material has been studied. The flow is initially steady where the left- hand vertical wall has temperature T-h and the right- hand vertical wall is maintained at temperature T-c ( T-h > T-c) and the horizontal walls are insulated. At time t > 0, the left- hand vertical wall temperature is suddenly raised to (T-h) over bar ((T-h) over bar > T-h) which introduces unsteadiness in the flow field. The partial differential equations governing the unsteady natural convection flow have been solved numerically using a finite control volume method. The computation has been carried out until the final steady state is reached. It is found that the average Nusselt number attains a minimum during the transient period and that the time required to reach the final steady state is longer for low Rayleigh number and shorter for high Rayleigh number.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Springer.
Keywords: Unsteady natural convection - Square cavity - Porous medium - Sudden change in wall temperature.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 09 Nov 2009 09:30
Last Modified: 30 Dec 2012 15:10
URI: http://eprints.iisc.ernet.in/id/eprint/19962

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