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A model of binary alloy solidification
Author(s) -
Wilson D. G.,
Solomon A. D.,
Alexiades V.
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620200609
Subject(s) - liquidus , solidus , binary alloy , thermodynamics , binary number , generalization , mathematics , stefan problem , mass transfer , heat transfer , enthalpy , alloy , mathematical analysis , materials science , physics , metallurgy , boundary (topology) , arithmetic
A linear model for the solidification of a dilute binary alloy is presented. In this model the solidus and liquidus curves are linear. As a consequence internal energy depends linearly upon temperature and concentration. The formulation is a generalization of the well‐known enthalpy method to treat a phase change problem involving coupled heat and mass transfer. Both analytic and numerical formulations are given. Results from the latter are presented and compared with an explicit solution of Rubinstein for a Stefan‐like problem posed in a semi‐infinite slab. Some remarks on the behaviour of the explicit solution are given.