Dynamics Study on Morphological Stabilities of Cellular Crystal Lateral Wall
- PDF / 714,147 Bytes
- 13 Pages / 593.972 x 792 pts Page_size
- 98 Downloads / 191 Views
TION
FOR the issue of the morphological stabilities of the solid-liquid interface, Rutter and Chalmers[1] presented the concept of constitutional supercooling in 1953; then, Tiller et al.[2] gave the discriminant of constitutional supercooling and formed the theory of constitutional supercooling. In the mid-1960s, Mullins and Sekerka[3] presented the dynamics theory of solid-liquid interface morphological stabilities, which became the classical theory to study the solid-liquid interface morphological stabilities. On the basis of Mullins and Sekerka, Wang and Hu[4] presented the nonlinear dynamics theory of the solid-liquid interface morphological stabilities in the GUOWEI CHANG, Professor, and SHUYING CHEN, QINGCHUN LI, XUDONG YUE, and GUANGCAN JIN, Associate Professors, are with the Research Center of Controlling Solidification, School of Materials Science and Engineering, Liaoning University of Technology, Jinzhou 121001, Liaoning, P.R. China. Contact e-mail: [email protected] Manuscript submitted January 9, 2011. Article published online January 28, 2012 2018—VOLUME 43A, JUNE 2012
late 1990s. After that, the theory about solid-liquid interface morphological stabilities entered the nonplanar-nonlinear research stage.[5–10] For the cylindrical solid-liquid interface, Coriell and Parker[11] established the mathematical expression of cylindrical crystal lateral stabilities from the prospective of heat transfer. Hardy and Coriell[12] verified the established stabilities theory according to the growth process of ice in supercooling water. Then, Coriell studied convective influence on the stability of a cylindrical solid-liquid interface[13] and separation of scales for growth of an alloy needle crystal[14] in detail. Georgelin and Pochean studied the thermal gradient induced side branching in directional solidification[15] and the validation criterion for the noise-induced mechanism of side branching in directional solidification[16] successively. Trivedi and Somboonsuk[17] first presented the directly observed and theoretical results of cellular crystal growth during solidification of organic matter, which are directly related to the cellular crystal growth. Then, Trivedi et al. studied the effects of interface kinetics anisotropy on the growth direction of cellular microstructures[18] and cellular-to-dendritic transition METALLURGICAL AND MATERIALS TRANSACTIONS A
during the directional solidification of binary alloys[19] in detail. By taking into account the two-dimensional diffusion of the solute atom in front of the solid-liquid interface, Ungar et al.[20–23] studied the cellular interface morphologies in directional solidification systematically. From the experimental results of Trivedi and Somboonsuk,[17] development of the solid-liquid interface shapes with time when the applied velocity is changed from zero to 3.4 lm/s in a directionally solidified succinonitrile-4.0 pct acetone solution at GL(temperature gradient) = 6.7 K/mm, we find that cellular crystals, which are far away from each other and enter the solution first,
Data Loading...
