Steady film flow of a highly viscous heavy fluid with mass supply

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Asymptotic models of a thin layer of highly viscous heavy incompressible Newtonian fluid are constructed for steady axisymmetric (plane) flow on a curved rigid surface with distributed or point mass supply on a surface section near the axis (plane) of symmetry. Examples of analytical and numerical investigations of the free-surface shape and hydrodynamic-parameter fields are given. The models constructed are generalized for the case of a viscoplastic fluid and solutions which can be used for describing extrusive volcanic eruptions are obtained.

Original languageEnglish
Pages (from-to)846-853
Number of pages8
JournalFluid Dynamics
Issue number6
Publication statusPublished - Nov 2003
Externally publishedYes


  • Extrusive eruption
  • Film flow
  • Gravity current
  • Viscoplastic fluid
  • Viscous fluid


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