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

journal contribution
posted on 2023-05-17, 02:35 authored by Hocking, GC, Stocks, TE, Lawrence ForbesLawrence Forbes
The time varying flow in which fluid is withdrawn from a reservoir through a point sink of variable strength beneath a free surface is considered.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.

History

Publication title

ANZIAM Journal

Volume

51

Issue

SUPPL

Pagination

E16-E36

ISSN

1446-8735

Department/School

School of Natural Sciences

Publisher

Cambridge University Press

Place of publication

Cambridge, England

Repository Status

  • Restricted

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