DTIC ADA221599: Buoyant Convection in Dendritic Solidification | |
by Defense Technical Information Center | |
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In solidification, when the process is limited by | |
diffusion of released latent heat or solute, often the | |
two-phase interface forms finger-like shapes called | |
dendrites, whose tips are nearly paraboloidal in form. | |
For a pure material solidifying into an undercooled melt, | |
if surface energy and gravity are negligible, a well- | |
known solution due to Ivantsov (1947) describes the | |
steady growth with a paraboloidal interface. We construct | |
a regular perturbation to this solution for a downward | |
growing axisymmetric dendrite, based on the smallness of | |
a buoyancy parameter G, to examine the effects of buoyant | |
flow on the solidification. The analytic solution | |
predicts that generally the buoyancy enhances growth and | |
changes the shape of the interface, giving a sharper tip | |
and wider base. These effects depend strongly on the | |
Prandtl number, and also on the Stefan number | |
(undercooling). The results compare will with the | |
experiments of Huang and Glicksman (1981) up to G 5000, | |
but over predict convective effects for higher G. | |
Date Published: 2018-02-26 00:55:15 | |
Identifier: DTIC_ADA221599 | |
Item Size: 22490558 | |
Language: english | |
Media Type: texts | |
# Topics | |
DTIC Archive; Canright, David; NAVAL ... | |
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dticarchive | |
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@chris85 | |
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