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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
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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:ACCEPTED

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