Journal of Engineering Mathematics

, Volume 29, Issue 1, pp 1–10

Withdrawal of fluid through a line sink beneath a free surface above a sloping boundary

  • C. R. Dun
  • G. C. Hocking

DOI: 10.1007/BF00046379

Cite this article as:
Dun, C.R. & Hocking, G.C. J Eng Math (1995) 29: 1. doi:10.1007/BF00046379


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 well-known 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.

Key words

Free surface flow selective withdrawal reservoirs 

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

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