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 language||English (US)|
|Number of pages||4|
|Journal||International Communications in Heat and Mass Transfer|
|State||Published - Jul 2009|
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.
- Front shape
- Variable latent heat