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A NOTE ON STEADY FLOW INTO A SUBMERGED POINT SINK

Published online by Cambridge University Press:  14 October 2014

G. C. HOCKING ,
L. K. FORBES  and
T. E. STOKES
G. C. HOCKING*
Affiliation:
Mathematics & Statistics, Murdoch University, Perth, WA, Australia email G.Hocking@murdoch.edu.au
L. K. FORBES
Affiliation:
School of Mathematics & Physics, University of Tasmania, Hobart, Australia email Larry.Forbes@utas.edu.au
T. E. STOKES
Affiliation:
Department of Mathematics, University of Waikato, Hamilton, New Zealand email stokes@waikato.ac.nz
*
✉G.Hocking@murdoch.edu.au
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Abstract

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The steady, axisymmetric flow induced by a point sink (or source) submerged in an unbounded inviscid fluid is computed. The resulting deformation of the free surface is obtained, and a limit of steady solutions is found that is quite different to those obtained in past work. More accurate solutions indicate that the old limiting flow rate was too high and, in fact, the breakdown of steady solutions at a lower flow rate is characterized by the appearance of spurious wavelets at the free surface.

Keywords

0102selective withdrawalpoint sinkaxisymmetric flowfree surface flow

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 56 , Issue 2 , October 2014 , pp. 150 - 159
Copyright
Copyright © 2014 Australian Mathematical Society 

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