Three-dimensional adaptive phase field modeling of directional solidification of a binary alloy: 2D–3D transitions

• Published in: International journal of heat and mass transfer Vol. 53; no. 9; pp. 2272 - 2283
• Main Authors: Tsai, Y.L., Chen, C.C., Lan, C.W.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.04.2010; Elsevier
• Subjects: Adaptive; Alloy development; Approximation; Binary alloys; Computer simulation; Cross-disciplinary physics: materials science; rheology; Directional solidification; Exact sciences and technology; Mass transfer; Materials science; Mathematical analysis; Morphological instability; Phase diagrams and microstructures developed by solidification and solid-solid phase transformations; Phase field modeling; Physics; Solidification; Three dimensional; Morphological instability; Three-dimensional; Adaptive; Phase field modeling; Directional solidification; Morphological variation; Binary alloys; Digital simulation; Modelling; Phase field method; Adaptive method
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2009.11.040

Morphological instability is an important subject in alloy directional solidification, and the development of cell allay is important to alloy properties. In nature, as a result of cell arrangement, this problem is often three-dimensional (3D), even for thin-film, and its simulation is rather difficult. We have developed a 3D adaptive phase field model to simulate efficiently the directional solidification of a binary alloy. The morphological transition from 2D to 3D approximations are illustrated, and compared with available analytical and simulated results. The effect of anisotropy on the cell arrangement is discussed as well.