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The one-dimensional Stefan problem with non-Fourier heat conduction

Abstract:

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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Institution:
University of Oxford
Department:
Mathematical Institute
Department:
Unknown
Role:
Author
ORCID:
0000-0002-5928-6256
Publisher:
Elsevier
Journal:
International Journal of Thermal Sciences More from this journal
Volume:
150
Article number:
106210
Publication date:
2019-12-26
Acceptance date:
2019-11-25
DOI:
ISSN:
1290-0729
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

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