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热噪声促发枝晶侧向分支的相场法数值模拟

Numerical Simulation of Dendritic Side-branching Induced by Thermal Noise Using Phase-field Approach

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【作者】 朱昌盛荆涛柳百成赵红兆

【Author】 ZHU Chang-sheng~(1,2),JING Tao~2,LIU Bai-cheng~2,ZHAO Hong-zhao~2(1.Lanzhou University of Technology,Lanzhou 730050,Gansu,China; 2.Department of Mechanical Engineering,Tsinghua University,Beijing 100084,China)

【机构】 兰州理工大学清华大学机械工程系清华大学机械工程系 甘肃兰州730050清华大学机械工程系北京100084北京100084北京100084

【摘要】 使用耦合热扰动的相场模型,对枝晶生长过程中噪声引发侧向分支的形成进行了研究。结果表明,温度场方程中加入的能量守恒噪声能够引发枝晶侧向不稳定,是侧向分支形成的主要起因;相场方程中引入的非能量守恒噪声对侧向分支的贡献不大,考虑到节省计算量,在实际计算中常将其忽略;热扰动幅值Fu对温度场的影响明显,当Fu取值适当时,热噪声可以引发侧向分支,但是不影响尖端的稳态行为。

【Abstract】 Side branching induced by fluctuations in dendritic growth is studied by using a phase-field model which incorporates thermal noise quantitatively.The calculated results indicate that conserved noise introduced in the temperature equation drives the morphological instability on the sides of dendrites and is dominant origin of side-branching,while the side branching is unaffected with inclusion of the non-conserved noise in phase-field equation,so it can be negligible from the point of view of computational saving for long simulation runs.The magnitude Fu of thermal noise influences temperature field obviously,when appropriate value is assigned to Fu,the noise can enhance the emergence of side-branching but does not influence the tip operating state.

【基金】 国家自然科学基金(50005011)资助项目
  • 【分类号】O78
  • 【被引频次】17
  • 【下载频次】205
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