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Shape functions for dendrite tips of SCN and Si

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Abstract

In this work, a recently developed analytical theory describing dendrite tips growing in undercooled melts in the absence of convection is tested against experimental data of succinonitrile (SCN) and Si. It is shown as a result that the recently found shape function describes the region of the dendrite tip to some distance from its vertex well.

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Acknowledgements

The present research work consists of theoretical and computational parts, which were supported by different financial sources. L.V.T gratefully acknowledges research funding from the Foundation for the Advancement of Theoretical Physics and Mathematics ”BASIS” (project No. 21-1-3-11-1) for the theoretical part, and the DAAD (no. 57515327) and the Ministry of Science and Higher Education of the Russian Federation (project passport No. 2338-21) within the “Michael Lomonosov” program scheme for comparing theoretical equations with experimental data and interpretation of the results. The author is grateful to Prof. M. Rettenmayr and Dr. D. Liu for the experimental results on the Al–Si alloy.

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Authors and Affiliations

  1. Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Ural Federal University, Lenin ave., 51, Yekaterinburg, 620000, Russian Federation

    L. V. Toropova

  2. Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität-Jena, 07743, Jena, Germany

    L. V. Toropova

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  1. L. V. Toropova
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Correspondence to L. V. Toropova.

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Toropova, L.V. Shape functions for dendrite tips of SCN and Si. Eur. Phys. J. Spec. Top. 231, 1129–1133 (2022). https://doi.org/10.1140/epjs/s11734-022-00519-4

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  • DOI: https://doi.org/10.1140/epjs/s11734-022-00519-4

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