| Melt nucleating and the three-dimension steady model of the temperature fluctuation with convection |
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| 作者姓名： | MingwenChen RenjiSun ZidongWang FengyingWang |
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| 作者单位： | [1]AppliedScienceSchool,UniversityofScienceandTechnologyBeijing,Beijing100083,China [2]MaterialScienceandEngineeringSchool,UniversityofScienceandTechnologyBeijing,Beijing100083,China [3]BeijingMaterialsInstitute,Beijing101149,China |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | A three-dimensional steady model of temperature fluctuation with melt convection is studied. It is proved that there exists a unique and stable solution in the model and the solution is expressed in a Fourier series form. It theoretically confirms the mechanism of melt nucleating: as long as the convection with transverse directions exists, the melt temperature on the front of the solidliquid interface would be not only periodical along the direction which is perpendicular to the direction of crystal growth, but also oscillatory and exponential decay along the direction of crystal growth; this oscillatory property, i.e. temperature fluctuation, leads to local supercooling, accelerates local temperature fluctuation and then results in a large number of nuclei.
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| 关 键 词： | 金属凝固 晶体生生长 三维空间模型 偏微分方程 |
Melt nucleating and the three-dimension steady model of the temperature fluctuation with convection |
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| MingwenChen RenjiSun ZidongWang FengyingWang.Melt nucleating and the three-dimension steady model of the temperature fluctuation with convection[J].Journal of University of Science and Technology Beijing,2005,12(3):231-235. |
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| Authors: | Mingwen Chen Renji Sun Zidong Wang Fengying Wang |
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| Abstract: | A three-dimensional steady model of temperature fluctuation with melt convection is studied. It is proved that there exists a unique and stable solution in the model and the solution is expressed in a Fourier series form. It theoretically confirms the mechanism of melt nucleating: as long as the convection with transverse directions exists, the melt temperature on the front of the solid-liquid interface would be not only periodical along the direction which is perpendicular to the direction of crystal growth, but also oscillatory and exponential decay along the direction of crystal growth; this oscillatory property, i.e. temperature fluctuation, leads to local supercooling, accelerates local temperature fluctuation and then results in a large number of nuclei. |
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| Keywords: | metal solidification crystal growth convection partial differential equation |
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