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The initiation of a planar fluid plume beneath a rigid lid

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Abstract

The unsteady growth of a viscous fluid plume beneath a rigid upper lid is investigated. Two-dimensional (planar) flow is assumed, through a fissure in the horizontal lower boundary. Initially, the fluid exiting the bottom is assumed to form a semi-circular region, but rises as time progresses, and spreads across the upper boundary. The problem is modelled using Boussinesq theory, and solved using a time-dependent spectral method. These numerical solutions are also compared with the results of a simpler inviscid asymptotic solution. Results are indicated for different input fluid speeds and fissure widths.

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Acknowledgements

The authors would like to express their gratitude to two anonymous referees for their helpful comments.

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Authors and Affiliations

  1. University of Tasmania, Hobart, TAS, Australia

    Patrick S. Russell & Lawrence K. Forbes

  2. Murdoch University, Perth, WA, Australia

    Graeme C. Hocking

Authors
  1. Patrick S. Russell
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  2. Lawrence K. Forbes
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  3. Graeme C. Hocking
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Correspondence to Patrick S. Russell.

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Russell, P.S., Forbes, L.K. & Hocking, G.C. The initiation of a planar fluid plume beneath a rigid lid. J Eng Math 106, 107–121 (2017). https://doi.org/10.1007/s10665-016-9895-1

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  • DOI: https://doi.org/10.1007/s10665-016-9895-1

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