固液界面層におけるモル流束方程式による界面不安定現象の解析

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  • Analysis of Instability at Solid-Liquid Interface from Molar Flux Balance in Diffuse Interface Layer
  • コエキ カイメンソウ ニ オケル モル リュウソク ホウテイシキ ニ ヨル カイメン フアンテイ ゲンショウ ノ カイセキ

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By assuming a balance in molar flux at a diffuse interface layer between a solid and liquid with thickness δ, we explain the interfacial instability in the directional solidification of alloys. The state of constitutional undercooling is equivalent to the directional change in the molar flux at the interface, ji. We compared the interfacial instability criterion from the present model with that from Mullins-Sekerka’s theory. From the flux balance between ji and the interfacial diffusion (jd), we deduced the thickness of the interface, which shows good agreement with experimental results. Since an empirical relation of interfacial energy per mole, γm=RTfδ, was analytically explained, the flux balance can provide new models for capillary-effected phenomena, where R is the gas constant and Ti is the temperature at the solid and liquid interface.

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  • 日本金属学会誌

    日本金属学会誌 64 (9), 759-762, 2000

    公益社団法人 日本金属学会

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