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Critical withdrawal from a twolayer fluid through a line sink
 G. C. Hocking
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Abstract
The problem of withdrawing water through a line sink from a region containing two homogenous layers of different density is considered. Assuming steady, irrotational flow of an ideal fluid, a nonlinear integral equation is derived and solved numerically. Confirmation of earlier research is given, and some new results obtained in which the interface between the two layers rises up and then enters the sink vertically from above, even when the sink is located above the undisturbed level of the interface. A diagram is presented which summarises the work on this problem to this time.
Part of this work was carried out while the author was at the Centre for Water Research, University of Western Australia.
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 Title
 Critical withdrawal from a twolayer fluid through a line sink
 Journal

Journal of Engineering Mathematics
Volume 25, Issue 1 , pp 111
 Cover Date
 19910201
 DOI
 10.1007/BF00036598
 Print ISSN
 00220833
 Online ISSN
 15732703
 Publisher
 Kluwer Academic Publishers
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 Authors

 G. C. Hocking ^{(1)}
 Author Affiliations

 1. Department of Mathematics, University of Western Australia, 6009, Nedlands, Western Australia, Australia