Solution to the governing equation for dendritic growth and its transfer behavior
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摘要: 建立了穩態胞晶生長溫度場數學模型。通過在復數域內應用分離變量法對控制方程進行求解,得到了問題的解析解。討論了在某些特定情形下的能量傳輸特性。Abstract: A mathematical model for dendritic growth of steady-state in the temperature field is established, and the analytical solution is derived in the form of Fourier series from separation of variables in the complex number field. The heat transfer characteristics in some special cases are discussed. Through the figures a clear view can be acquired about the substance of crystal growth.
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Key words:
- crystal growth /
- steady state /
- dendritic /
- fourier series
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