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The unsteady withdrawal of fluid from a reservoir of finite depth with a free surface through a line sink is considered. A numerical method is used to investigate the evolution of a free surface in several different geometric and initial configurations, and it is shown that there are some critical flow parameters at which the flow changes its nature. The existence of steady states is also considered. Results both with and without surface tension are included and placed in context with previous work. Inclusion of surface tension reveals that solutions either evolve to a steady state or drawdown. As the sink is moved off the base, the behaviour becomes consistent with flows in a fluid of infinite depth, and consequently flows can be classified as either "shallow" or "deep" depending on their drawdown behaviour.

Item Type:	Refereed Article
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:	51528
Year Published:	2008
Funding Support:	Australian Research Council (DP0450225)
Web of Science® Times Cited:	13
Deposited By:	Mathematics
Deposited On:	2008-04-02
Last Modified:	2015-01-27
Downloads:	0