The cooling of a lava flow spreading over a flat surface


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Abstract

The cooling of a lava flow modeled by a viscous incompressible fluid spreading over a flat surface is considered. In order to model the free surface, a known analytical solution is used in the thin-layer approximation. The thermal boundary layer thickness is determined and the evolution of thermal fields in the lava profile is studied.

About the authors

E. A. Vedeneeva

Moscow University Institute of Mechanics, Leninskie Gory

Author for correspondence.
Email: el_vedeneeva@imec.msu.ru
Russian Federation, Moscow, 119991

O. E. Mel’nik

Moscow University Institute of Mechanics, Leninskie Gory

Email: el_vedeneeva@imec.msu.ru
Russian Federation, Moscow, 119991

I. S. Utkin

Faculty of Mechanics and Mathematics, Leninskie Gory

Email: el_vedeneeva@imec.msu.ru
Russian Federation, Moscow, 119899

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