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      Unsteady free surface flow induced by a line sink in a fluid of finite depth

      Stokes, Tim E.; Hocking, Graeme Charles; Forbes, Lawrence K.
      DOI
       10.1016/j.compfluid.2007.06.002
      Link
       www.sciencedirect.com
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      Citation
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      Stokes, T. E., Hocking, G. C., & Forbes, L. K. (2008). Unsteady free surface flow induced by a line sink in a fluid of finite depth. Computers & Fluids, 37(3), 236-249.
      Permanent Research Commons link: https://hdl.handle.net/10289/8200
      Abstract
      The unsteady withdrawal of fluid from a reservoir of finite depth with a free surface through a line sink is considered. A numerical method is used to investigate the evolution of a free surface in several different geometric and initial configurations, and it is shown that there are some critical flow parameters at which the flow changes its nature. The existence of steady states is also considered. Results both with and without surface tension are included and placed in context with previous work. Inclusion of surface tension reveals that solutions either evolve to a steady state or drawdown. As the sink is moved off the base, the behaviour becomes consistent with flows in a fluid of infinite depth, and consequently flows can be classified as either “shallow” or “deep” depending on their drawdown behaviour.
      Date
      2008
      Type
      Journal Article
      Publisher
      Elsevier
      Collections
      • Computing and Mathematical Sciences Papers [1443]
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