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On cavity flow at high Reynolds numbers

Published online by Cambridge University Press:  11 April 2006

M. Nallasamy  and
K. Krishna Prasad
M. Nallasamy
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore-560012
K. Krishna Prasad
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore-560012
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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 [ges ] 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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 79 , Issue 2 , 22 February 1977 , pp. 391 - 414
Copyright
© 1977 Cambridge University Press

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