An analytical solution for a Stefan problem with variable latent heat

V. R. Voller; J. B. Swenson; C. Paola

doi:10.1016/j.ijheatmasstransfer.2004.07.007

An analytical solution for a Stefan problem with variable latent heat

V. R. Voller, J. B. Swenson, C. Paola

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

110 Scopus citations

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 language	English (US)
Pages (from-to)	5387-5390
Number of pages	4
Journal	International Journal of Heat and Mass Transfer
Volume	47
Issue number	24
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2004.07.007
State	Published - 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.

Access

10.1016/j.ijheatmasstransfer.2004.07.007

OpenUrl availability

Full text

Cite this

@article{821fbc67a8c3417a95424c0c1041cd6d,

title = "An analytical solution for a Stefan problem with variable latent heat",

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.",

author = "Voller, {V. R.} and Swenson, {J. B.} and C. Paola",

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.",

year = "2004",

month = nov,

doi = "10.1016/j.ijheatmasstransfer.2004.07.007",

language = "English (US)",

volume = "47",

pages = "5387--5390",

journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier Limited",

number = "24",

}

TY - JOUR

T1 - An analytical solution for a Stefan problem with variable latent heat

AU - Voller, V. R.

AU - Swenson, J. B.

AU - Paola, C.

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. The authors acknowledge useful discussion with Gary Parker.

PY - 2004/11

Y1 - 2004/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=8344259869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8344259869&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2004.07.007

DO - 10.1016/j.ijheatmasstransfer.2004.07.007

M3 - Article

AN - SCOPUS:8344259869

SN - 0017-9310

VL - 47

SP - 5387

EP - 5390

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 24

ER -

An analytical solution for a Stefan problem with variable latent heat

Abstract

Bibliographical note

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this