z-logo
Premium
Phase transition in binary systems and the binary alloy problem
Author(s) -
Xie Weiqing
Publication year - 1992
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670150306
Subject(s) - binary number , mathematics , binary alloy , alloy , phase transition , boundary value problem , regularization (linguistics) , mass transfer , thermodynamics , dimension (graph theory) , kinetic energy , statistical physics , mathematical analysis , materials science , physics , pure mathematics , classical mechanics , metallurgy , computer science , arithmetic , artificial intelligence
In this paper we consider a phase transition in binary systems describing the solidification of a dilute alloy in one space dimension, in which the equations of heat and mass transfer are coupled through the conditions at the free boundary. A kinetic condition is introduced to suggest a regularization of the model, which admits a unique solution, and to obtain the generalized solution of the dilute‐alloy problem under an additional assumption.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here