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Title: Approximate analysis of the formation of a buoyant solid sphere in a supercooled melt

Technical Report ·
DOI:https://doi.org/10.2172/5954578· OSTI ID:5954578

A mathematical model is presented for the idealized formation and development of a buoyant sphere solidifying in an infinite pool of supercooled liquid. The solid and liquid are of the same pure material and the solid is less dense than the liquid. Initially the liquid is at a uniform temperature that is below its equilibrium freezing temperature, T/sub cr/, but above the so called hypercooled temperature, T/sub cr/ - H/c/sub L/. Here H and c/sub L/ are the latent heat of solidification and the specific heat of the liquid, respectively. An approximate solution is derived based on the Megerlin approximation method. 11 refs.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
DOE Contract Number:
AC05-84OR21400
OSTI ID:
5954578
Report Number(s):
ORNL-6212; ON: DE86007882
Country of Publication:
United States
Language:
English