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Unsteady free surface flow due to a line sink at an arbitrary location with surface tension
Journal article   Open access   Peer reviewed

Unsteady free surface flow due to a line sink at an arbitrary location with surface tension

W.F. Mansoor, G.C. Hocking and D.E. Farrow
Computers & Fluids, Vol.266, 106059
2023
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Unsteady free surface flow due to a line sink at an arbitrary location with surface tension840.07 kBDownloadView
Published (Version of Record)CC BY V4.0 Open Access

Abstract

Selective withdrawal Sink flows Unsteady free surface flow
The unsteady flow generated when a line sink is located at an arbitrary location beneath the free surface of a fluid of finite depth is considered. Interest is in the evolution to a steady state flow, splashing flows and the drawdown of the surface. The location of the sink away from, but near to, a vertical barrier leads to some interesting new surface flows due to interactions and reflection, some of which have a profound impact on the nature of the critical drawdown flow parameters. Interesting new solutions with a delayed drawdown that are initiated by a reflected wave are presented. A linearized solution and a fully nonlinear solution are presented and the results discussed. Regions of steady, unsteady and supercritical flow are identified.

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