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On starting conditions for a submerged sink in a fluid
Journal article   Open access   Peer reviewed

On starting conditions for a submerged sink in a fluid

L.K. Forbes, G.C. Hocking and T.E. Stokes
Journal of Engineering Mathematics, Vol.61(1), pp.55-68
2008
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Abstract

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.

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Citation topics
8 Earth Sciences
8.205 Ocean Dynamics
8.205.2114 Hydraulic Flows
Web Of Science research areas
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
ESI research areas
Engineering
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