Stokes, Tim E.Hocking, Graeme CharlesForbes, Lawrence K.2010-03-042010-03-042005Stokes, T. E., Hocking, G. C. & Forbes, L. K. (2005). Unsteady flow induced by a withdrawal point beneath a free surface. ANZIAM Journal, 47(2), 185-202.https://hdl.handle.net/10289/3675The 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.application/pdfenThis article has been published in the journal: ANZIAM Journal. © 2005 Australian Mathematical Society.mathematicsJournal Article10.1017/S1446181100009986