Analytical solution of a binary melt solidification model in the presence of a quasi-equilibrium mushy region for the case of the non-linear phase diagram.

Nizovtseva, I G; Starodumov, I O; Alexandrov, D V

Nizovtseva, I G; Starodumov, I O; Alexandrov, D V.

Afiliación

Nizovtseva IG; Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russia. Friedrich-Schiller-Universität Jena, Otto Schott Institute of Materials Research, D-07743 Jena, Germany.

J Phys Condens Matter ; 32(30): 304003, 2020 Jul 15.

Article en En | MEDLINE | ID: mdl-32213674

RESUMEN

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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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Tipo de estudio: Prognostic_studies Idioma: En Revista: J Phys Condens Matter Asunto de la revista: BIOFISICA Año: 2020 Tipo del documento: Article País de afiliación: Alemania Pais de publicación: Reino Unido

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