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 language||English (US)|
|Number of pages||4|
|Journal||International Journal of Heat and Mass Transfer|
|State||Published - Nov 2004|
Bibliographical noteFunding 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.