https://doi.org/10.1140/epjs/s11734-023-00857-x
Regular Article
Steady-state crystallization with a mushy layer: a test of theory with experiments
Laboratory of Multi-Scale Mathematical Modeling, Laboratory of Stochastic Transport of Nanoparticles in Living Systems, Ural Federal University, Lenin ave., 51, 620000, Yekaterinburg, Russian Federation
Received:
27
February
2023
Accepted:
26
April
2023
Published online:
15
May
2023
Motivated by important applications in materials science and geophysics, I develop a non-linear heat and mass transfer model describing a steady-state crystallization scenario with a mushy layer. An exact analytical solution of mushy layer equations is derived in a parametric form where the temperature being the decision variable. The volume fraction of ice, the mass fraction of solute in the interstitial liquid, the spatial coordinate are found as functions of temperature in the mushy layer. Its thickness and temperature distribution in the liquid phase are defined analytically as well. The analytical theory developed well describes experiments on NaCl–H
O solutions.
S.I. : Structural Transformations and Non- Equilibrium Phenomena in Multicomponent Disordered Systems. Guest editors: Liubov Toropova, Irina Nizovtseva.
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