A Heat-Transfer Analysis of the Solidification of a Binary Eutectic System

[+] Author and Article Information
R. H. Tien

U. S. Steel Corp., Monroeville, Pa.

G. E. Geiger

University of Pittsburgh, Pittsburgh, Pa.

J. Heat Transfer 89(3), 230-233 (Aug 01, 1967) (4 pages) doi:10.1115/1.3614365 History: Received May 16, 1966; Online August 25, 2011


The solidification of a binary system differs from a pure metal in that the latent heat effect no longer occurs at the melting point but rather in a freezing zone between the liquidus and solidus temperatures. Such solidification is analyzed from a heat-transfer point of view. The system considered occupies a semi-infinite region, is initially at the liquidus temperature, and at all subsequent times the surface temperature is considered constant; the fraction solid is assumed to be linear with distance within the freezing zone between the solidus and liquidus. The heat released during solidification is treated as a discontinuous heat generation. This corresponds to the nonequilibrium freezing of a eutectic system. The temperature distribution and thickness of each region are calculated as a function of time using the error function solution and the heat-balance integral; the results are given in graphical form.

Copyright © 1967 by ASME
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