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Article Dans Une Revue Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2021

The shape of dendritic tips: a test of theory with computations and experiments

Résumé

This article is devoted to the study of the tip shape of dendritic crystals grown from a supercooled liquid. The recently developed theory (Alexandrov & Galenko 2020 Phil. Trans. R. Soc. A 378 , 20190243. ( doi:10.1098/rsta.2019.0243 )), which defines the shape function of dendrites, was tested against computational simulations and experimental data. For a detailed comparison, we performed calculations using two computational methods (phase-field and enthalpy-based methods), and also made a comparison with experimental data from various research groups. As a result, it is shown that the recently found shape function describes the tip region of dendritic crystals (at the crystal vertex and some distance from it) well. This article is part of the theme issue ‘Transport phenomena in complex systems (part 1)’.

Dates et versions

hal-03472574 , version 1 (09-12-2021)

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Dmitri Alexandrov, Liubov Toropova, Ekaterina Titova, Andrew Kao, Gilles Demange, et al.. The shape of dendritic tips: a test of theory with computations and experiments. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, 379 (2205), pp.20200326. ⟨10.1098/rsta.2020.0326⟩. ⟨hal-03472574⟩
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