ANZIAM  J.  47 (2005), 185-202
Unsteady flow induced by a withdrawal point beneath a free surface

T. E. Stokes
  Department of Mathematics
  University of Waikato
  New Zealand
G. C. Hocking
  School of Engineering Science
  Murdoch University
  WA 6150
L. K. Forbes
  School of Mathematics and Physics
  University of Tasmania
  GPO Box 252-37
  TAS 7001

The unsteady axisymmetric withdrawal from a fluid with a free surface through a point sink is considered. Results both with and without surface tension are included and placed in context with previous work. The results indicate that there are two critical values of withdrawal rate at which the surface is drawn directly into the outlet, one after flow initiation and the other after the flow has been established. It is shown that the larger of these values corresponds to the point at which steady solutions no longer exist.
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