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      Unsteady flow induced by a withdrawal point beneath a free surface

      Stokes, Tim E.; Hocking, Graeme Charles; Forbes, Lawrence K.
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      unsteady flow.pdf
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      DOI
       10.1017/S1446181100009986
      Link
       anziamj.austms.org.au
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      Citation
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      Stokes, T. E., Hocking, G. C. & Forbes, L. K. (2005). Unsteady flow induced by a withdrawal point beneath a free surface. ANZIAM Journal, 47(2), 185-202.
      Permanent Research Commons link: https://hdl.handle.net/10289/3675
      Abstract
      The unsteady axisymmetric withdrawal from a fluid with a free surface through a point sink is considered. Results both with and without surface tension are included and placed in context with previous work. The results indicate that there are two critical values of withdrawal rate at which the surface is drawn directly into the outlet, one after flow initiation and the other after the flow has been established. It is shown that the larger of these values corresponds to the point at which steady solutions no longer exist.
      Date
      2005
      Type
      Journal Article
      Publisher
      Australian Mathematical Publishing Association Inc.
      Rights
      This article has been published in the journal: ANZIAM Journal. © 2005 Australian Mathematical Society.
      Collections
      • Computing and Mathematical Sciences Papers [1455]
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