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Selection Criterion of Stable Mode of Dendritic Growth with n-Fold Symmetry at Arbitrary Péclet Numbers with a Forced Convection

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IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 34))

Abstract

A stable mode of anisotropic dendrite growing in a forced convective flow with n-fold crystalline symmetry is studied for low, moderate and rapid tip velocities (for arbitrary Péclet numbers). A generalized selection criterion determining a stable combination for the dendrite tip velocity and dendrite tip diameter is obtained.

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Acknowledgements

This work is supported by the Russian Science Foundation (grant 16-11-10095).

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Authors and Affiliations

  1. Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Yekaterinburg, 620000, Russian Federation

    Dmitri V. Alexandrov

  2. Friedrich-Schiller-Universität Jena, Physikalisch-Astronomische Fakultät, 07743, Jena, Germany

    Peter K. Galenko

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  1. Dmitri V. Alexandrov
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Correspondence to Dmitri V. Alexandrov .

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Editors and Affiliations

  1. Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand

    Stefanie Gutschmidt

  2. Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand

    James N. Hewett

  3. Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand

    Mathieu Sellier

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Alexandrov, D.V., Galenko, P.K. (2019). Selection Criterion of Stable Mode of Dendritic Growth with n-Fold Symmetry at Arbitrary Péclet Numbers with a Forced Convection. In: Gutschmidt, S., Hewett, J., Sellier, M. (eds) IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics. IUTAM Bookseries, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-030-13720-5_17

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  • DOI: https://doi.org/10.1007/978-3-030-13720-5_17

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