A cellular automaton model of the steady-state free'' growth of a non-isothermal dendrite

作者: S.G.R. Brown , T. Williams , J.A. Spittle

DOI: 10.1016/0956-7151(94)90230-5

关键词: Dendrite (crystal)Materials scienceThermodynamicsDiffusionHeat equationSteady stateIsothermal processHeat transferLatent heatCellular automaton

摘要: Abstract A 2D cellular automaton model has been developed to study the steady-state “free” growth of a non-isothermal dendrite. The incorporates rules account for heat diffusion, influence curvature on equilibrium freezing temperature and latent evolution. predicts V ∝ δTb rate-undercooling relationship various dendrite tip temperatures selected. prediction values b accords reasonably with analytical models reported experimental observations.

参考文章(25)
Stephen Wolfram, Theory and Applications of Cellular Automata Advanced Series on Complex Systems. ,(1986)
Bruce Chalmers, Principles of Solidification ,(1964)
I. Jin, G.R. Purdy, Controlled solidification of a dilute binary alloy: I. Theory Journal of Crystal Growth. ,vol. 23, pp. 29- 36 ,(1974) , 10.1016/0022-0248(74)90038-4
Gérard Weisbuch, Sylvie Ryckebushe, Complex Systems Dynamics ,(1994)
W. Kurz, D.J. Fisher, Dendrite growth at the limit of stability: tip radius and spacing Acta Metallurgica. ,vol. 29, pp. 11- 20 ,(1981) , 10.1016/0001-6160(81)90082-1
G.A. Colligan, B.J. Bayles, Dendrite growth velocity in undercooled nickel melts Acta Metallurgica. ,vol. 10, pp. 895- 897 ,(1962) , 10.1016/0001-6160(62)90107-4
G. F. Bolling, W. A. Tiller, Growth from the Melt. III. Dendritic Growth Journal of Applied Physics. ,vol. 32, pp. 2587- 2605 ,(1961) , 10.1063/1.1728359
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.A Spittle, S.G.R Brown, Computer simulation of the effects of alloy variables on the grain structures of castings Acta Metallurgica. ,vol. 37, pp. 1803- 1810 ,(1989) , 10.1016/0001-6160(89)90065-5
J.S. Kirkaldy, A Zener-Hillert model for growth of binary alloy cells Scripta Metallurgica. ,vol. 14, pp. 739- 744 ,(1980) , 10.1016/0036-9748(80)90280-X