A note on steady flow into a submerged point sink

Graeme Charles Hocking, Lawrence K. Forbes, Timothy E. Stokes


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 that in fact the breakdown of steady solutions at a lower flow rate is characterized by the appearance of spurious wavelets at the free surface.



selective withdrawal, point sink, axisymmetric flow, free surface flow

DOI: http://dx.doi.org/10.21914/anziamj.v56i0.8142

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.