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Asymptotic analysis of the Guyer–Krumhansl–Stefan model for nanoscale solidification

Author
Hennessy, M.; Calvo, M.; Myers, T.
Type of activity
Journal article
Journal
Applied mathematical modelling
Date of publication
2018-09-01
Volume
61
First page
1
Last page
17
DOI
https://doi.org/10.1016/j.apm.2018.03.026 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0307904X18301422?via%3Dihub Open in new window
Abstract
Nanoscale solidification is becoming increasingly relevant in applications involving ultra-fast freezing processes and nanotechnology. However, thermal transport on the nanoscale is driven by infrequent collisions between thermal energy carriers known as phonons and is not well described by Fourier’s law. In this paper, the role of non-Fourier heat conduction in nanoscale solidification is studied by coupling the Stefan condition to the Guyer–Krumhansl (GK) equation, which is an extension of...
Keywords
Asymptotic analysis, Guyer-Krumhansl equation, Nanoscale phase change, Stefan problem

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