Thermo-solutal growth of an anisotropic dendrite with six-fold symmetry.

作者: D V Alexandrov , P K Galenko

DOI: 10.1088/1361-648X/AAAB7B

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摘要: A stable growth of dendritic crystal with the six-fold crystalline anisotropy is analyzed in a binary nonisothermal mixture. selection criterion representing relationship between dendrite tip velocity and its diameter derived on basis morphological stability analysis solvability theory. complete set nonlinear equations, consisting undercooling balance condition, which determines implicit dependencies as functions total undercooling, formulated. Exact analytical solutions these equations are found parametric form. Asymptotic describing at small Peclet numbers determined. Theoretical predictions compared experimental data obtained for ice dendrites growing water-ethylenglycol well pure water.

参考文章(39)
Dmitri V. Alexandrov, Peter K. Galenko, Thermo-solutal and kinetic regimes of an anisotropic dendrite growing under forced convective flow Physical Chemistry Chemical Physics. ,vol. 17, pp. 19149- 19161 ,(2015) , 10.1039/C5CP03018H
G Horvay, J.W Cahn, Dendritic and spheroidal growth Acta Metallurgica. ,vol. 9, pp. 695- 705 ,(1961) , 10.1016/0001-6160(61)90008-6
J. S. Langer, Daniel C. Hong, Solvability conditions for dendritic growth in the boundary-layer model with capillary anisotropy Physical Review A. ,vol. 34, pp. 1462- 1471 ,(1986) , 10.1103/PHYSREVA.34.1462
P. Pelce, D. Bensimon, Theory of dendrite dynamics Nuclear Physics B - Proceedings Supplements. ,vol. 2, pp. 259- 270 ,(1987) , 10.1016/0920-5632(87)90022-3
D V Alexandrov, P K Galenko, Dendrite growth under forced convection: analysis methods and experimental tests Physics-Uspekhi. ,vol. 57, pp. 771- 786 ,(2014) , 10.3367/UFNE.0184.201408B.0833
E. Ben-Jacob, Nigel Goldenfeld, J. S. Langer, Gerd Schön, Boundary-layer model of pattern formation in solidification Physical Review A. ,vol. 29, pp. 330- 340 ,(1984) , 10.1103/PHYSREVA.29.330
Robert M. Wellek, Ronald Dean. Mitchell, James William. Moore, Diffusion coefficients of ethylene glycol and cyclohexanol in the solvents ethylene glycol, diethylene glycol, and propylene glycol as a function of temperature Journal of Chemical & Engineering Data. ,vol. 16, pp. 57- 60 ,(1971) , 10.1021/JE60048A003
X. Tong, C. Beckermann, A. Karma, Q. Li, Phase-field simulations of dendritic crystal growth in a forced flow. Physical Review E. ,vol. 63, pp. 061601- ,(2001) , 10.1103/PHYSREVE.63.061601
J. Lipton, M.E. Glicksman, W. Kurz, Dendritic growth into undercooled alloy metals Materials Science and Engineering. ,vol. 65, pp. 57- 63 ,(1984) , 10.1016/0025-5416(84)90199-X