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On starting conditions for a submerged sink in a fluid


Forbes, LK and Hocking, GC and Stokes, TE, On starting conditions for a submerged sink in a fluid, Journal of Engineering Mathematics, 61, (1) pp. 55-68. ISSN 0022-0833 (2008) [Refereed Article]

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DOI: doi:10.1007/s10665-007-9174-2


Withdrawal of a fluid through an isolated line sink (for planar flow) or a point sink (for axi-symmetric flow in three dimensions) is considered. A linearized solution is presented in both cases, under the assumption that the sink strength is small and the sink is turned on gradually. The results show that the behaviour for small times is as if an image source were present above the surface. Asymptotic results indicate that, in both cases, the flow rapidly develops an effective image sink above the free surface.

Item Details

Item Type:Refereed Article
Keywords:Asymptotic behaviour Heuristic derivation Linearized solution Method of stationary phase Withdrawal flows
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:52293
Year Published:2008
Funding Support:Australian Research Council (DP0450225)
Web of Science® Times Cited:3
Deposited By:Mathematics
Deposited On:2008-06-17
Last Modified:2015-01-27

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