3D dendrite shape in the large chemical Péclet number limit in the case of rotational symmetry(Conference Paper)(Open Access)
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- Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation
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Abstract
A solution of the nonlinear integrodifferential equation for the mass transport defines the shape of a dendrite, growing in a supersaturated alloy. We obtained a numerical solution of this equation in the limit of large chemical Péclet number in the case when dendrite shape is a surface of revolution. Our solution is in good agreement with an asymptotical expression for the shape of growing crystal. © 2019 Author(s).
- ISSN: 0094243X
- ISBN: 978-073541921-6
- Source Type: Conference Proceeding
- Original language: English
- DOI: 10.1063/1.5134327
- Document Type: Conference Paper
- Volume Editors: Volkovich V.A.,Zvonarev S.V.,Kashin I.V.,Smirnov A.A.,Narkhov E.D.
- Publisher: American Institute of Physics Inc.
Titova, E.A.; Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation;
© Copyright 2019 Elsevier B.V., All rights reserved.
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