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

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

Alexandrov, Dmitri V., Toropova, Liubov V., Titova, Ekaterina A., Kao, Andrew ORCID: 0000-0002-6430-2134, Demange, Gilles, Galenko, Peter K. and Rettenmayr, Markus (2021) 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, 379:20200326. ISSN 1364-503X (Print), 1471-2962 (Online) (doi:https://doi.org/10.1098/rsta.2020.0326)

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Abstract

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.

Item Type: Article
Additional Information: This article is part of the theme issue ‘Transport phenomena in complex systems (part 1).
Uncontrolled Keywords: dendrites, shape of crystals, phase transformations, dendritic tips, phase-field method, enthalpy-based method
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
Faculty / School / Research Centre / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Centre for Numerical Modelling & Process Analysis (CNMPA)
Faculty of Liberal Arts & Sciences > Centre for Numerical Modelling & Process Analysis (CNMPA) > Computational Science & Engineering Group (CSEG)
Related URLs:
Last Modified: 24 Sep 2021 15:01
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
Selected for REF2021: None
URI: http://gala.gre.ac.uk/id/eprint/33930

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