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Flow due to a sink near a vertical wall, in infinitely deep fluid


Forbes, LK and Hocking, GC, Flow due to a sink near a vertical wall, in infinitely deep fluid, Computers and Fluids, 34, (6) pp. 684-704. ISSN 0045-7930 (2005) [Refereed Article]

DOI: doi:10.1016/j.compfluid.2004.05.006


Flow caused by a point sink in an otherwise stagnant fluid is studied using numerical methods based on integral-equation techniques and an asymptotic solution for small Froude number. There is a vertical wall present on a plane close to the sink, so that the flow is fully three dimensional. The fluid is of infinite depth, but a free-surface bounds it above. Steady solutions are presented for various Froude numbers and distances of the source from the wall. It is shown that the numerical results and asymptotic formula are in good agreement for small Froude numbers, but the results suggest that the non-linear solution ultimately forms some limiting structure at sufficiently large Froude number. © 2004 Elsevier Ltd. All rights reserved.

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:Forbes, LK (Professor Larry Forbes)
ID Code:32527
Year Published:2005
Funding Support:Australian Research Council (DP0450225)
Web of Science® Times Cited:9
Deposited By:Mathematics
Deposited On:2005-08-01
Last Modified:2006-03-28

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