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A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink

Citation

Hocking, GC and Stocks, TE and Forbes, LK, A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink, ANZIAM Journal, 51, (SUPPL) pp. E16-E36. ISSN 1446-8735 (2010) [Refereed Article]

Abstract

The time varying flow in which fluid is withdrawn from a reservoir through a point sink of variable strength beneath a free surface is considered. Asymptotic techniques are used to derive an approximate solution to the flow that is valid at intermediate times, giving a simple rational approximation to track changes in the free surface for any temporal variations in the sink strength. Comparisons with numerical simulations are given, showing that the approximation has wide applicability. Austral. Mathematical Soc. 2010.

Item Details

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 Mathematical Sciences
Author:Forbes, LK (Professor Larry Forbes)
ID Code:63635
Year Published:2010
Deposited By:Mathematics
Deposited On:2010-05-19
Last Modified:2015-01-27
Downloads:0

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