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AIP Conference ProceedingsVolume 2174, 6 December 2019, Article number 0201366th International Young Researchers'' Conference on Physics, Technologies and Innovation, PTI 2019; Ekaterinburg; Russian Federation; 20 May 2019 through 23 May 2019; Code 155607

Mathematical modeling of nonlinear growth rates of crystals with allowance for Meirs kinetics(Conference Paper)(Open Access)

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  • Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Yekaterinburg, Russian Federation

Abstract

In this paper, we study the process of nonlinear growth of spherical crystals in supercooled single-component melts with the Meirs nucleation kinetics. The balance and Fokker-Planck equations are solved with allowance for the power-dependent law for the crystal growth rate. It is shown that the melt supercooling is a decreasing function of time due to the latent heat release by the growing solid phase particles. © 2019 Author(s).

  • ISSN: 0094243X
  • ISBN: 978-073541921-6
  • Source Type: Conference Proceeding
  • Original language: English
  • DOI: 10.1063/1.5134287
  • 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.

  Makoveeva, E.V.; Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Yekaterinburg, Russian Federation;
© Copyright 2019 Elsevier B.V., All rights reserved.

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