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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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