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Unsteady natural convection from a horizontal annulus filled with a porous medium

Kumari, M and Nath, G (2008) Unsteady natural convection from a horizontal annulus filled with a porous medium. In: International Journal of Heat and Mass Transfer, 51 (19-20). pp. 5001-5007.

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Abstract

The unsteady natural convection flow from a horizontal cylindrical annulus filled with a non-Darcy porous medium has been studied. The unsteadiness in the problem arises due to the impulsive change in the wall temperature of the outer cylinder. The Navier–Stokes equations along with the energy equation governing the unsteady natural convection flow have been solved by the finite-volume method. The effect of time variation on the heat transfer is more pronounced only in a small time interval immediately after the start of the impulsive motion and the steady state is reached after certain time. The results show that the annulus completely filled with a porous medium has the best insulating effectiveness. Convection in the horizontal annulus is confined mostly at top and bottom regions. Hence, only these regions should be insulated. In case of annulus partially filled with a porous material, insulating the region near the outer cylinder is more effective than insulating the region near the inner cylinder. The effect of Darcy number on the heat transfer is more pronounced than that of the Grashof number.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Unsteady flow;Natural convection;Horizontal annulus;Porous medium.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 12 Apr 2010 08:40
Last Modified: 19 Sep 2010 05:59
URI: http://eprints.iisc.ernet.in/id/eprint/26873

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