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Mathematical modeling of crystallization process from a supercooled binary melt
  • Eugenya Makoveeva,
  • Dmitri Alexandrov,
  • Alexander Ivanov
Eugenya Makoveeva
Ural Federal University named after the first President of Russia B N Yeltsin

Corresponding Author:eugenya1m@gmail.com

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Dmitri Alexandrov
Ural Federal University named after the first President of Russia B N Yeltsin
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Alexander Ivanov
Ural Federal University named after the first President of Russia B N Yeltsin
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Abstract

The article is concerned with the analytical solution to the integro-differential system of balance and kinetic equations that describe the crystal growth phenomenon in a binary system for various nucleation kinetics. The effect of impurity concentration on the evolutionary behavior of crystals is shown. The nonlinear dynamics of a supercooled binary melt is studied with allowance for the withdrawal mechanism of product crystals from a metastable liquid of the crystallizer.

Peer review status:Published

19 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
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20 Aug 2020Submission Checks Completed
20 Aug 2020Assigned to Editor
23 Aug 2020Reviewer(s) Assigned
30 Aug 2020Review(s) Completed, Editorial Evaluation Pending
31 Aug 2020Editorial Decision: Accept
19 Oct 2020Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.6970