Journal article
A multiphase solute diffusion model for dendritic alloy solidification
Metallurgical transactions. A, Physical metallurgy and materials science, Vol.24(12), pp.2787-2802
1993
DOI: 10.1007/BF02659502
Abstract
A solute diffusion model, aimed at predicting microstructure formation in metal castings, is proposed for dendritic solidification of alloys. The model accounts for the different length scales existing in a dendritic structure. This is accomplished by utilizing a multiphase approach, in which not only the various physical phases but also phases associated with different length scales are considered separately. The macroscopic conservation equations are derived for each phase using the volume averaging technique, with constitutive relations developed for the interfacial transfer terms. It is shown that the multiphase model can rigorously incorporate the growth of dendrite tips and coarsening of dendrite arms. In addition, the distinction of different length scales enables the inclusion of realistic descriptions of the dendrite topology and relations to key metallurgical parameters. Another novel aspect of the model is that a single set of conservation equations for solute diffusion is developed for both equiaxed and columnar dendritic solidification. Finally, illustrative calculations for equiaxed, columnar, and mixed columnar-equiaxed solidification are carried out to provide quantitative comparisons with previous studies, and a variety of fundamental phenomena such as recalescence, dendrite tip undercooling, and columnar-to-equiaxed transition (CET) are predicted.
Details
- Title: Subtitle
- A multiphase solute diffusion model for dendritic alloy solidification
- Creators
- C Y Wang - Univ. Iowa, dep. mechanical eng., Iowa City IA 52242, United StatesC Beckermann - Univ. Iowa, dep. mechanical eng., Iowa City IA 52242, United States
- Resource Type
- Journal article
- Publication Details
- Metallurgical transactions. A, Physical metallurgy and materials science, Vol.24(12), pp.2787-2802
- Publisher
- American Society for Metals; Warrendale, PA; Metals Park, OH
- DOI
- 10.1007/BF02659502
- ISSN
- 0360-2133
- eISSN
- 2379-0180
- Language
- English
- Date published
- 1993
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064208202771
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