Unsteady flow induced by a withdrawal point beneath a free surface
Stokes, 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.
Permanent Research Commons link: https://hdl.handle.net/10289/3675
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.
Australian Mathematical Publishing Association Inc.
This article has been published in the journal: ANZIAM Journal. © 2005 Australian Mathematical Society.