Abstract
Non-local effects are introduced into a mathematical description of a solidification process based on Fourier’s law with a size-dependent thermal conductivity. An asymptotic solution based on a large Stefan number is proposed. The agreement with the numerical solution is excellent for any Nusselt number.
The author acknowledges that the research leading to these results has been funded by ‘La Caixa’ Foundation and by the CERCA programme of the Generalitat de Catalunya.
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Calvo-Schwarzwälder, M. (2019). A Non-local Formulation of the One-Phase Stefan Problem Based on Extended Irreversible Thermodynamics. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_33
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DOI: https://doi.org/10.1007/978-3-030-25261-8_33
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