An analytical solution for a Stefan problem with variable latent heat

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Abstract

Governing equations for a one-phase Stefan melting problem with variable latent heat are presented. It is shown that these equations model the movement of the shoreline in a sedimentary basin. An analytical solution for the sedimentation rate and shoreline movement - based on a similarity variable - shows a square root dependence of shoreline position with time.

Original languageEnglish (US)
Pages (from-to)5387-5390
Number of pages4
JournalInternational Journal of Heat and Mass Transfer
Volume47
Issue number24
DOIs
StatePublished - Nov 2004

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. The authors acknowledge useful discussion with Gary Parker.

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