A new analytical model for the growth rate of dendrite tips

Xiaohui Ao, Huanxiong Xia*, Jianhua Liu, Qiyang He, Shengxiang Lin

*此作品的通讯作者

科研成果: 期刊稿件会议文章同行评审

摘要

It's well known that the driving forces of dendrite growth in metal solidification typically include temperature undercooling, constitutional undercooling, and curvature undercooling, and these undercoolings are usually computed independently by their corresponding local temperature, concentration, and curvature in a model. This paper derived a new formula only depending on the temperature undercooling based on the dynamic equilibrium relationship and the Ivantsov function for computing the growth rate of dendrite tips at the equilibrium state. By taking the derivative of this formula to find the maximum growth rate, an almost constant ratio of the curvature undercooling to the temperature undercooling was found, specifically, the ratio is in the range of 0.507 to 0.524 corresponding to the temperature undercooling of 4 to 10 K. The analytical result was validated by the numerical simulations of the solidification of Inconel 718 alloy with different temperature undercoolings by using a cellular-automata mothed. The numerical results suggested a ratio of 2/3 of the curvature undercooling to the temperature undercooling for the given Inconel 718 alloy.

源语言英语
文章编号012067
期刊IOP Conference Series: Earth and Environmental Science
772
1
DOI
出版状态已出版 - 20 5月 2021
活动2020 International Symposium on Geographic Information, Energy and Environmental Sustainable Development, GIEES 2020 - Tianjin, Virtual, 中国
期限: 26 12月 202027 12月 2020

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引用此

Ao, X., Xia, H., Liu, J., He, Q., & Lin, S. (2021). A new analytical model for the growth rate of dendrite tips. IOP Conference Series: Earth and Environmental Science, 772(1), 文章 012067. https://doi.org/10.1088/1755-1315/772/1/012067