Modeling the overall solidification kinetics for undercooled single-phase solid-solution alloys. I. Model derivation
✍ Scribed by Haifeng Wang; Feng Liu; Gencang Yang; Yaohe Zhou
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 380 KB
- Volume
- 58
- Category
- Article
- ISSN
- 1359-6454
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✦ Synopsis
Departing from the volume-averaging method, the equiaxed solidification model was extended to describe the overall solidification kinetics of undercooled single-phase solid-solution alloys. In this model, a single grain, whose size is given assuming site saturation, is divided into three phases, i.e. the solid dendrite, the inter-dendritic liquid and the extra-dendritic liquid. The non-equilibrium solute diffusion in the inter-dendritic liquid and the extra-dendritic liquid, as well as the heat diffusion in the extra-dendritic liquid, is considered. The growth kinetics of the solid/liquid interface is given by the solute or heat balance, where a maximal growth velocity criterion is applied to determine the transition from thermal-controlled growth to solutal-controlled growth. A dendrite growth model, in which the nonlinear liquidus and solidus, the non-equilibrium interface kinetics, and the non-equilibrium solute diffusion in liquid are considered, is applied to describe the growth kinetics of the grain envelope. On this basis, the solidification path is described.