Journal article
The one-dimensional Stefan problem with non-Fourier heat conduction
- Abstract:
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We investigate the one-dimensional growth of a solid into a liquid bath, starting from a small crystal, using the Guyer-Krumhansl and Maxwell-Cattaneo models of heat conduction. By breaking the solidification process into the relevant time regimes we are able to reduce the problem to a system of two coupled ordinary differential equations describing the evolution of the solid-liquid interface and the heat flux. The reduced formulation is in good agreement with numerical simulations. In the ca...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
-
-
(Accepted manuscript, pdf, 1.3MB)
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- Publisher copy:
- 10.1016/j.ijthermalsci.2019.106210
Authors
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- International Journal of Thermal Sciences Journal website
- Volume:
- 150
- Article number:
- 106210
- Publication date:
- 2019-12-26
- Acceptance date:
- 2019-11-25
- DOI:
- ISSN:
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1290-0729
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:1003295
- UUID:
-
uuid:6906825e-37cd-4ab9-ade7-e962f52d7c58
- Local pid:
- pubs:1003295
- Source identifiers:
-
1003295
- Deposit date:
- 2019-12-02
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2019
- Rights statement:
- © 2019 Elsevier Masson SAS. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article, available under the terms of a Creative Commons, Attribution, Non-Commercial, No Derivatives licence. The final version is available online from Elsevier at: https://doi.org/10.1016/j.ijthermalsci.2019.106210
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