Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 32, Issue 30, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-648X/ab83b3
Keywords
solidification; mushy region; binary melt; crystallisation; analytical solution
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Funding
- Russian Science Foundation [19-71-10044]
- Russian Science Foundation [19-71-10044] Funding Source: Russian Science Foundation
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The process of directional crystallization with a quasi-equilibrium mushy region is considered in the steady-state conditions with allowance for the non-linear phase diagram. A complete analytical solution of model equations is found in a parametric form by introducing a new variable-the solid phase fraction in the mushy layer. The temperature and solute concentration, as well as the solid fraction in the mushy layer, its boundaries, and the crystallization velocity, are determined analytically. It is shown that a non-linear phase diagram substantially influences the behavior of solutions obtained.
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