ANZIAM  J.  44 (2002), 181-191
A note on withdrawal from a fluid of finite depth through a point sink

G. C. Hocking
  Mathematics and Statistics, DSE
  Murdoch University
  Murdoch, WA 6150
  Australia
 
J.-M. Vanden-Broeck
  Department of Mathematics
  University of East Anglia
  Norwich
  UK
 
and
L. K. Forbes
  School of Mathematics and Physics
  The University of Tasmania
  Hobart, TAS 7001
  Australia
 


Abstract
The problem of withdrawal through a point sink of water from a fluid of finite depth with a free surface is considered. Assuming the flow to be axisymmetric, it is found that there is a maximum Froude number at which such flows can exist. This maximum corresponds to the formation of a secondary stagnation ring on the free surface. This result extends earlier work on this problem. Comparison is made with a small Froude number solution and past experimental results.
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