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

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

doi:10.1016/j.icheatmasstransfer.2009.03.002

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

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

Civil, Environmental, and Geo- Engineering

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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)
Pages (from-to)	535-538
Number of pages	4
Journal	International Communications in Heat and Mass Transfer
Volume	36
Issue number	6
DOIs	https://doi.org/10.1016/j.icheatmasstransfer.2009.03.002
State	Published - 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.

Keywords

Front shape
Melting
Shoreline
Variable latent heat

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title = "Morphology of a melt front under a condition of spatial varying latent heat",

abstract = "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.",

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AU - Patnaik, Sibasish

AU - Voller, Vaughan R.

AU - Parker, Gary

AU - Frascati, Alessandro

N1 - 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.

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N2 - 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.

AB - 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.

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KW - Melting

KW - Shoreline

KW - Variable latent heat

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

Abstract

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Keywords

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