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A model of binary alloy solidification

✍ Scribed by D. G. Wilson; A. D. Solomon; V. Alexiades

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
941 KB
Volume
20
Category
Article
ISSN
0029-5981

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✦ Synopsis

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.

Department of Energy under contract W-7405-eng-26 with the Union Carbide Corporation.

πŸ“œ SIMILAR VOLUMES

Existence of solutions to a phase-field
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We investigate the well-posedness of a phase-"eld model for the isothermal solidi"cation of a binary alloy due to Warren}Boettinger [12]. Existence of weak solution as well as regularity and uniqueness results are established under Lipschitz and boundedness assumptions for the non-linearities. A max