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

      Hocking, Graeme Charles; Stokes, Tim E.; Forbes, Lawrence K.
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      Hocking Stokes Forbes 2010.pdf
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       journal.austms.org.au
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      Hocking, G. C., Stokes, T. E. & Forbes, L. (2010). A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink. ANZIAM Journal, 51, E16-E36.
      Permanent Research Commons link: https://hdl.handle.net/10289/3676
      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      The time varying flow in which fluid is withdrawn from a reservoir through a point sink of variable strength beneath a free surface is considered.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.
      Date
      2010
      Type
      Journal Article
      Publisher
      Cambridge University Press
      Rights
      Copyright Australian Mathematical Society 2010.
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      • Computing and Mathematical Sciences Papers [1452]
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