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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The time varying flow in which fluid is withdrawn from a reservoir through a point sink of variable strength beneath a free surface is considered.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 |
| UTAS 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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