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Cellular interface morphologies in directional solidification. III - The effects of heat transfer and solid diffusivityThe shape and stability of two-dimensional finite-amplitude cellular interfaces arising during directional solidification are compared for several solidification models that account differently for latent heat released at the interface, unequal thermal conductivities of melt and solid, and solute diffusivity in the solid. Finite-element analysis and computer-implemented perturbation methods are used to analyze the families of steadily growing cellular forms that evolve from the planar state. In all models a secondary bifurcation between different families of finite-amplitude cells exists that halves the spatial wavelength of the stable interface. The quantitative location of this transition is very dependent on the details of the model. Large amounts of solute diffusion in the solid retard the growth of large-amplitude cells.
Document ID
Document Type
Reprint (Version printed in journal)
Ungar, Lyle H. (Massachusetts Inst. of Tech. Cambridge, MA, United States)
Bennett, Mark J. (Massachusetts Inst. of Tech. Cambridge, MA, United States)
Brown, Robert A. (MIT Cambridge, MA, United States)
Date Acquired
August 13, 2013
Publication Date
May 1, 1985
Publication Information
Publication: Physical Review B, 3rd Series
Volume: 31
ISSN: 0163-1829
Subject Category
Distribution Limits