Abstract The solute redistribution during initial transient process of directional solidification of a binary alloy is associated with the solid-liquid interface advancing velocity which will pass a hysteretic process approaching to the externally imposed velocity. In the present paper, a new accelerated growth equation, dV/dt = μG[$\frac{m}{G}$·$\frac{{\rm d}G^*_{\rm L}}{{\rm d}t}$+Ve-V] is deduced, based on which a new formula for the initial transient solute redistribution is obtained with the reasonable assumption that the solid-liquid interface advancing velocity changes exponentially during solidification. It shows that the kinematic effect dominates solidification at high velocity while the coupling effect of thermal and mass transportation controls that at lower velocity.In addition, another new equation to calculate the time required for a planar interface to lose stability is also found. Since the effects of the imposed thermal gradient are taken into account in the new equations, they are more reasonable and satisfactory than those given by Tiller et al.[1] and by Smith et al.[2]
Received: 03 April 1995
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China.
Cite this article:
MA DONG (马东), JIE WAN-QI (介万奇) SOLUTE REDISTRIBUTION IN THE INITIAL TRANSIENT REGION OF DIRECTIONAL SOLIDIFICATION SPECIMEN 1996 Acta Physica Sinica (Overseas Edition) 5 306
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
