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Three-dimensional isothermal lava flows over a non-axisymmetric conical surface

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Abstract

Within the thin-layer approximation for a highly-viscous heavy incompressible fluid, a hydrodynamicmodel of a 3D isothermal lava flow over a non-axisymmetric conical surface is constructed. Using analytical methods, a self-similar solution for the law of leading-edge propagation is obtained in the case of a flow from a non-axisymmetric source located at the apex of a conical surface with smoothly varying properties. In the case of a flow over a substantially non-axisymmetric surface, it is shown that there exists a self-similar solution for the free-surface shape and the law of leading-edge motion. This solution is studied numerically for particular examples of the substrate surface and the source. In the general case of a non-self-similar flow over a substantially non-axisymmetric conical surface, a local analytical solution is obtained for the free-surface shape and the velocity field near the leading flow front.

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Authors
  1. A. A. Osiptsov
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Additional information

__________

Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, 2006, pp. 31–45.

Original Russian Text Copyright © 2006 by Osiptsov.

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Osiptsov, A.A. Three-dimensional isothermal lava flows over a non-axisymmetric conical surface. Fluid Dyn 41, 198–210 (2006). https://doi.org/10.1007/s10697-006-0034-y

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  • DOI: https://doi.org/10.1007/s10697-006-0034-y

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