Macroscopic Interface Shape During Solidification

[+] Author and Article Information
W. R. Wilcox

Laser & Electronic Crystals Section, Aerospace Corporation, El Segundo, Calif.

R. L. Duty

International Business Machines Corp., Huntsville, Ala.

J. Heat Transfer 88(1), 45-49 (Feb 01, 1966) (5 pages) doi:10.1115/1.3691472 History: Received April 30, 1965


Steady-state heat transfer considerations have been used to determine the macroscopic solid-liquid interface shape in solidification processes such as floating zone melting and crystal pulling. It was found by means of computer solutions that the Biot number ha R/k, is the prime determinant of the shape of the interface. As the Biot number increases, the interface becomes increasingly concave into the solid. A uniform heat input model was formulated which gives analytical results close to the computer results. A one-dimensional analysis showed that the fractional error in the position of the isotherms caused by ignoring the heat carried by the motion of the crystal is approximately Vρcp−R/8hak. The effect of various heat transfer parameters on the dislocation generation caused by thermal stresses was also predicted and found to compare fairly well with experimental results.

Copyright © 1966 by ASME
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