TY - JOUR
T1 - Rapid solidification of subcooled small metallic drops
T2 - Internal nucleation
AU - Gill, William N.
AU - Jang, Jiin Yuh
AU - Mollendorf, Joseph C.
AU - Adam, Colin M.
N1 - Funding Information:
The authors would like to thank Professor N. Kazarinoff for useful suggestions. Partial support for this work was provided by NSF Grant CPE 8112519 and by a Defense Advanced Research Project Agency Contract monitored by the Airforce Wright—Patterson Aeronautical Laboratory under contract F3361 576C51 36.
PY - 1984
Y1 - 1984
N2 - Solidification of subcooled internally nucleated spheres is analyzed including surface energy and initial radius effects. Accurate and simple rapidly and slowly varying solutions are obtained. Large supercooling leads to enormous heat transfer rates during recalescence, comparable to those obtained in splat cooling, when the liquid shell increases very quickly from the nucleation temperature to the melting point. After recalescence, external convective heat transfer dominates and this period begins when the dimensionless thickness of the solidified core region is approximately equal to the cube root of the Stefan number. A simple analytical expression for complete freezing of the droplets is given. Recalescence is complete in microseconds, a small fraction of the total freezing time, which is typically on the order of milliseconds. The Gibbs-Thompson effect is important only at small times, on the order of 10-10 s, but during this period the growth rate is profoundly effected by surface energy effects.
AB - Solidification of subcooled internally nucleated spheres is analyzed including surface energy and initial radius effects. Accurate and simple rapidly and slowly varying solutions are obtained. Large supercooling leads to enormous heat transfer rates during recalescence, comparable to those obtained in splat cooling, when the liquid shell increases very quickly from the nucleation temperature to the melting point. After recalescence, external convective heat transfer dominates and this period begins when the dimensionless thickness of the solidified core region is approximately equal to the cube root of the Stefan number. A simple analytical expression for complete freezing of the droplets is given. Recalescence is complete in microseconds, a small fraction of the total freezing time, which is typically on the order of milliseconds. The Gibbs-Thompson effect is important only at small times, on the order of 10-10 s, but during this period the growth rate is profoundly effected by surface energy effects.
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U2 - 10.1016/0022-0248(84)90219-7
DO - 10.1016/0022-0248(84)90219-7
M3 - Article
AN - SCOPUS:2542580513
VL - 66
SP - 351
EP - 368
JO - Journal of Crystal Growth
JF - Journal of Crystal Growth
SN - 0022-0248
IS - 2
ER -