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Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth

Published online by Cambridge University Press:  13 February 2001

G. C. HOCKING  and
L. K. FORBES
G. C. HOCKING
Affiliation:
Mathematics and Statistics, DSE, Murdoch University, Murdoch, Western Australia, 6150, Australia
L. K. FORBES
Affiliation:
School of Mathematics and Physics, University of Tasmania, GPO Box 252-237, Hobart, 7001, Tasmania, Australia
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Abstract

The steady response of a fluid consisting of two regions of different density, the lower of which is of finite depth, is considered during withdrawal. Super-critical flows are considered in which water from both layers is being withdrawn, meaning that the interface is drawn down directly into the sink. The results indicate that if the flow rate is above some minimum, the angle of entry of the interface depends more strongly on the relative depth of the sink than on the flow rate. This has quite dramatic consequences for the understanding of selective withdrawal from layered fluids.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 428 , 10 February 2001 , pp. 333 - 348
Copyright
© 2001 Cambridge University Press

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