NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
solvability conditions for dendritic growth in the boundary-layer model with capillary anisotropyThis paper is concerned primarily with the development of an analytic approach to the theory of steady-state velocity selection in the boundary-layer model of dendritic solidification. The two-dimensional version of this model with a fourfold crystalline anisotropy alpha in the surface tension is considered. By extending a WKB method introduced in an earlier paper, the alpha dependence of the selected growth rate is determined in the limit of small alpha; and this rate is studied for large alphas in the limit in which the dimensionless undercooling approaches unity. Portions of the paper are devoted to a reinterpretation of the mathematical structure of the solvability condition in problems of this kind.
Document ID
19870024021
Document Type
Reprint (Version printed in journal)
Authors
Langer, J. S.
(California Univ. Santa Barbara, CA, United States)
Hong, D. C.
(California, University Santa Barbara, United States)
Date Acquired
August 13, 2013
Publication Date
August 1, 1986
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 34
ISSN: 0556-2791
Subject Category
SOLID-STATE PHYSICS
Funding Number(s)
CONTRACT_GRANT: DE-FG03-84ER-45108
CONTRACT_GRANT: NSF PHY-82-17853
Distribution Limits
Public
Copyright
Other