Solute Redistribution Model of Dendritic Solidification Considering Diffusion in Both the Liquid and Solid Phases.
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- Himemiya Toshiaki
- Wakkanai Hokusei Junior College
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- Umeda Takateru
- Department of Metallurgy, Graduate School of Engineering, The University of Tokyo
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To estimate micro-segregation with dendritic solidification, a common method using an integral profile method has been developed. We considered three cases; (1) no diffusion in the solid and finite diffusion in the liquid, (2) finite diffusion in the solid and complete diffusion in the liquid, and (3) finite diffusion in both the solid and liquid. Expressing the solute distribution in the liquid and/or in the solid as quadratic polynomials, and assuming the linear growth case or the parabolic growth case, ordinary differential equations have been obtained. We introduced Ivantsov's solution as the initial condition of the diffusion problem to expand the model to rapid solidification conditions. Using the Runge–Kutta method, the solute distribution profile in both the liquid and solid over time was estimated. After calculation, good agreement with rigorous solutions for each case was gained. For easy way of programming and short computating time, this method has practical merits.
収録刊行物
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- ISIJ International
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ISIJ International 38 (7), 730-738, 1998
一般社団法人 日本鉄鋼協会
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詳細情報
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- CRID
- 1390001206451475968
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- NII論文ID
- 10002460117
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- NII書誌ID
- AA10680712
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- COI
- 1:CAS:528:DyaK1cXotFaktro%3D
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- ISSN
- 13475460
- 09151559
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
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- 使用不可