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Finite element analysis of the effect of a non-planar solid-liquid interface on the lateral solute segregation during unidirectional solidificationThe effect of solid-liquid interface shape on lateral solute segregation during steady-state unidirectional solidification of a binary mixture is calculated under the assumption of no convection in the liquid. A finite element technique is employed to compute the concentration field in the liquid and the lateral segregation in the solid with a curved boundary between the liquid and solid phases. The computational model is constructed assuming knowledge of the solid-liquid interface shape; no attempt is made to relate this shape to the thermal field. The influence of interface curvature on the lateral compositional variation is investigated over a range of system parameters including diffusivity, growth speed, distribution coefficient, and geometric factors of the system. In the limiting case of a slightly nonplanar interface, numerical results from the finite element technique are in good agreement with the analytical solutions of Coriell and Sekerka obtained by using linear theory. For the general case of highly non-planar interface shapes, the linear theory fails and the concentration field in the liquid as well as the lateral solute segregation in the solid can be calculated by using the finite element method.
Document ID
19830062094
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Carlson, F. M.
(KRAR, Inc. Potsdam, NY, United States)
Chin, L.-Y.
(Phillips Petroleum Co. Bartlesville, OK, United States)
Fripp, A. L.
(Phillips Petroleum Co. Bartlesville, OK, United States)
Crouch, R. K.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1982
Subject Category
Astronautics (General)
Meeting Information
Meeting: Materials processing in the reduced gravity environment of space; Annual Meeting
Location: Boston, MA
Start Date: November 16, 1981
End Date: November 18, 1981
Sponsors: NASA
Accession Number
83A43312
Funding Number(s)
CONTRACT_GRANT: NAS1-16721
Distribution Limits
Public
Copyright
Other

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