On cavity flow at high Reynolds numbers

Nallasamy, M and Prasad, Krishna K (1977) On cavity flow at high Reynolds numbers. In: Journal of Fluid Mechanics, 79 (02). pp. 391-414.

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Abstract

The flow in a square cavity is studied by solving the full Navier–Stokes and energy equations numerically, employing finite-difference techniques. Solutions are obtained over a wide range of Reynolds numbers from 0 to 50000. The solutions show that only at very high Reynolds numbers (Re [gt-or-equal, slanted] 30000) does the flow in the cavity completely correspond to that assumed by Batchelor's model for separated flows. The flow and thermal fields at such high Reynolds numbers clearly exhibit a boundary-layer character. For the first time, it is demonstrated that the downstream secondary eddy grows and decays in a manner similar to the upstream one. The upstream and downstream secondary eddies remain completely viscous throughout the range of Reynolds numbers of their existence. It is suggested that the behaviour of the secondary eddies may be characteristic of internal separated flows.

Item Type:	Journal Article
Publication:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
Additional Information:	Copyright of this article belongs to Cambridge University Press.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	18 Aug 2011 08:00
Last Modified:	18 Aug 2011 08:00
URI:	http://eprints.iisc.ac.in/id/eprint/39881

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