Diapiric penetration with melting

Details Diapiric penetration with melting Diapiric penetration with melting

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pepi...36..276e&link_type=abstract

(International Association of Seismology and Physics of the Earth's Interior, Symposium on Quantitative Geodynamics Lithospheric

Physics

6

Geophysical Fluids, Heat Generation, Melting, Solid Phases, Solubility, Viscous Fluids, Earth Mantle, Integral Equations, Peclet Number, Squeeze Films

Scientific paper

A series of problems is considered in which a solid or an immiscible fluid body melts its way through a solid medium. Both internal heat generation and viscous heating are considered. It is hypothesized that the melted medium is confined to a thin squeeze film on the upstream portion of the body and that the lubrication approximation is valid in this squeeze film. It is found that thermal runaway, the unbounded conversion of potential into thermal energy, will occur for spherical bodies with a radius greater than a critical value. For immiscible fluid bodies, an infinite family of allowed shapes for a fixed volume of fluid is found. Thin bodies are more efficient at melting their way through a medium than blunt bodies.

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