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Unsteady Flow Induced by a Withdrawal Point Beneath a Free Surface


Stokes, TE and Hocking, GC and Forbes, LK, Unsteady Flow Induced by a Withdrawal Point Beneath a Free Surface, Anziam Journal, 47, (part 2) pp. 185-202. ISSN 1446-1811 (2005) [Refereed Article]

DOI: doi:10.1017/S1446181100009986


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 Society 2005.

Item Details

Item Type:Refereed Article
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Microfluidics and nanofluidics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Stokes, TE (Dr Timothy Stokes)
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:36458
Year Published:2005
Funding Support:Australian Research Council (DP0450225)
Web of Science® Times Cited:14
Deposited By:Mathematics
Deposited On:2005-08-01
Last Modified:2012-03-05

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