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Entropy production in steady‐state eutectic growth
Author(s) -
Wolczyński Waldemar
Publication year - 1989
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170240203
Subject(s) - paraboloid , eutectic system , entropy production , thermodynamics , heat transfer , growth rate , entropy (arrow of time) , materials science , mathematics , physics , metallurgy , geometry , alloy , surface (topology)
A theoretical analysis of models for regular eutectic growth is presented. The diffusion model (practically, a relationship between interlamellar spacing, λ, and growth rate, v , proposed in J ACKSON and H UNT'S theory) is localized at the paraboloid of entropy production for the process under investigation. As this paraboloid depends on the temperature and concentration gradients it is concluded that a new model which should consider both heat transfer and diffusion in the steady‐state eutectic growth is to be introduced using the substantiated criterion of minimum entropy production. In this way, it is possible to obtain an equation of the f (λ, v , δ T /δ x ) = 0 type.