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Unsteady free convection flow in the stagnation-point region of a rotating sphere

Takhar, HS and Slaouti, A and Kumaria, M and Nath, G (1998) Unsteady free convection flow in the stagnation-point region of a rotating sphere. In: International Journal of Non-Linear Mechanics, 33 (05). pp. 857-865.

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Abstract

The unsteady free convection boundary-layer flow in the forward stagnation-point region of a sphere, which is rotating with time-dependent angular velocity in an ambient fluid, has been studied. Both constant wall temperature and constant hear flux conditions have been considered. The non-linear coupled parabolic partial differential equations governing the flow have been solved numerically using an implicit finite-difference scheme. The skin friction and the heat transfer are enhanced by the buoyancy force. The effect of the buoyancy force is found to be more pronounced for smaller Prandtl numbers than for larger Prandtl numbers. For a given buoyancy force, the heat transfer increases with an increase in Prandtl number, but the skin friction decreases.

Item Type: Journal Article
Publication: International Journal of Non-Linear Mechanics
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: unsteady free convection;heat transfer;stagnation-point; rotating sphere.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 04 Jan 2010 07:32
Last Modified: 19 Sep 2010 05:28
URI: http://eprints.iisc.ac.in/id/eprint/19435

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