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Unsteady flows induced by a point source or sink in a fluid of finite depth


Stokes, TE and Hocking, GC and Forbes, LK, Unsteady flows induced by a point source or sink in a fluid of finite depth, European Journal of Applied Mathematics, 28, (3) pp. 357-379. ISSN 0956-7925 (2017) [Refereed Article]

Copyright Statement

Copyright 2016 Cambridge University Press

DOI: doi:10.1017/S0956792516000310


The time-varying flow in which fluid is withdrawn from or added to a reservoir of infinite or arbitrary finite depth through a point sink or source of variable strength beneath a free surface is considered. Backed up by some analytic work, a numerical method is used, and the results are compared with previous work on steady and unsteady flows. In the case of withdrawal for an impulsively started flow, it is found that the critical flow rate increases with reservoir depth, although it changes little as the depth increases beyond double the sink submergence depth. The largest flow rate at which steady solutions can evolve in source flows follows a similar pattern although at a considerably higher value. Simulations indicate that some of the previously calculated steady state solutions at higher flow rates may be unstable, if they exist at all.

Item Details

Item Type:Refereed Article
Keywords:free-surface potential flows, ideal fluids
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:118090
Year Published:2017
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2017-07-04
Last Modified:2018-07-30

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