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Mathematical modeling of the growth of ellipsoidal crystals in metastable melts and solutions
  • Margarita Nikishina,
  • Dmitri Alexandrov
Margarita Nikishina
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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Abstract

The evolution of individual crystals of ellipsoidal shape in supercooled one-component and binary melts as well as in supersaturated solutions is studied theoretically. The crystal volume growth rate is derived using the prolate ellipsoidal coordinates. We show that this rate is a function of the current crystal volume and supercooling/supersaturation of the ambient liquid. Also, we demonstrate that the particle growth rate increases with increasing the volume of ellipsoidal crystals and supercooling.

Peer review status:ACCEPTED

29 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
30 Sep 2020Assigned to Editor
30 Sep 2020Submission Checks Completed
07 Oct 2020Reviewer(s) Assigned
13 Oct 2020Review(s) Completed, Editorial Evaluation Pending
14 Oct 2020Editorial Decision: Accept