Journal of Engineering Mathematics

, Volume 25, Issue 1, pp 1–11

Critical withdrawal from a two-layer fluid through a line sink

  • G. C. Hocking

DOI: 10.1007/BF00036598

Cite this article as:
Hocking, G.C. J Eng Math (1991) 25: 1. doi:10.1007/BF00036598


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.

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • G. C. Hocking
    • 1
  1. 1.Department of MathematicsUniversity of Western AustraliaNedlandsAustralia

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