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Efficient estimation of diffusion during dendritic solidificationA very efficient finite difference method has been developed to estimate the solute redistribution during solidification with diffusion in the solid. This method is validated by comparing the computed results with the results of an analytical solution derived by Kobayashi (1988) for the assumptions of a constant diffusion coefficient, a constant equilibrium partition ratio, and a parabolic rate of the advancement of the solid/liquid interface. The flexibility of the method is demonstrated by applying it to the dendritic solidification of a Pb-15 wt pct Sn alloy, for which the equilibrium partition ratio and diffusion coefficient vary substantially during solidification. The fraction eutectic at the end of solidification is also obtained by estimating the fraction solid, in greater resolution, where the concentration of solute in the interdendritic liquid reaches the eutectic composition of the alloy.
Document ID
19900033557
Document Type
Reprint (Version printed in journal)
Authors
Yeum, K. S. (Arizona Univ. Tucson, AZ, United States)
Poirier, D. R. (Arizona, University Tucson, United States)
Laxmanan, V. (GM Research Laboratory Warren, MI, United States)
Date Acquired
August 14, 2013
Publication Date
December 1, 1989
Publication Information
Publication: Metallurgical Transactions A - Physical Metallurgy and Materials Science
Volume: 20A
ISSN: 0360-2133
Subject Category
METALLIC MATERIALS
Funding Number(s)
CONTRACT_GRANT: NAG3-723
CONTRACT_GRANT: NAG3-417
Distribution Limits
Public
Copyright
Other