A self-similar solution to the problem of lava dome growth on an arbitrary conical surface

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6 Citations (Scopus)

Abstract

Within the framework of the asymptotic thin-film equations for a highly viscous heavy Newtonian fluid, a hydrodynamic model of non-axisymmetric lava dome growth on a conical surface is constructed. A new class of self-similar solutions describing the flow on a conical surface with finite inclination to the horizontal and a point mass supply at the apex is found analytically for power-law or exponential growth of the liquid volume with time. For a conical surface with a small inclination to the horizontal, the tree-surface shape is found numerically. The asymplotics of this solution are compared with the solutions describing the flow on a horizontal plane and a conical surface with finite inclination to the horizontal.

Original languageEnglish
Pages (from-to)47-60
Number of pages14
JournalFluid Dynamics
Volume39
Issue number1
DOIs
Publication statusPublished - Jan 2004
Externally publishedYes

Keywords

  • Conical surface
  • Extrusive eruptions
  • Film flow
  • Self-similarity
  • Source
  • Viscous fluid

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