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Withdrawal of fluid through a line sink beneath a free surface above a sloping boundary
 C. R. Dun,
 G. C. Hocking
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A series truncation method is used to compute the flow into a line sink from a region of fluid with a free surface and a sloping wall beneath the sink. The method admits a wellknown exact solution for a particular value of the slope. Solutions with a cusp above the sink, and with a stagnation point above the sink are computed for all values of the slope, and compared with results at both ends of the range, i.e. with results for both a vertical wall and a horizontal bottom, with good agreement.
 Title
 Withdrawal of fluid through a line sink beneath a free surface above a sloping boundary
 Journal

Journal of Engineering Mathematics
Volume 29, Issue 1 , pp 110
 Cover Date
 199501
 DOI
 10.1007/BF00046379
 Print ISSN
 00220833
 Online ISSN
 15732703
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 Free surface flow
 selective withdrawal
 reservoirs
 Industry Sectors
 Authors

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

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