Morphology of a melt front under a condition of spatial varying latent heat

Sibasish Patnaik, Vaughan R. Voller, Gary Parker, Alessandro Frascati

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A melting model with spatially varying latent heat (applicable to the formation of sedimentary basins) is numerically investigated. The geometry is a rectangular channel with linearly increasing latent heat in the length direction and a step contrast in slope in the width direction. The melt front is driven by a heat flux. After introducing suitable scaling, it is shown that the significant evolution of the shape of the melt front occurs within 5 widths of the flux boundary and that the melt-thickness (the downstream length between the most and least advanced parts of the melt front) scales with the log of the ratio of latent heat slopes.

Original languageEnglish (US)
Pages (from-to)535-538
Number of pages4
JournalInternational Communications in Heat and Mass Transfer
Issue number6
StatePublished - Jul 2009

Bibliographical note

Funding Information:
This work was supported by the STC program of the National Science Foundation via the National Center for Earth-surface Dynamics under the agreement Number EAR-0120914.


  • Front shape
  • Melting
  • Shoreline
  • Variable latent heat


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