| 扩散方程边界条件及恢复饱和系数 |
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| 引用本文： | 韩其为.扩散方程边界条件及恢复饱和系数[J].长沙理工大学学报(自然科学版),2006,3(3):7-19. |
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| 作者姓名： | 韩其为 |
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| 作者单位： | 中国水利水电科学研究院,北京,100044 |
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| 摘 要： | 依据泥沙交换的统计理论，建立了非均匀沙扩散方程在床面的边界条件，它对一维、二维以至三维方程都是必须的，它将决定泥沙的冲淤．在此基础上积分二维扩散方程，得到了恢复饱和系数，阐述了它的特性，进而导出了在强平衡条件下的恢复饱和系数的理论表达式和相应的数字结果．最后给出了不平衡条件下恢复饱和系数的近似值和综合恢复饱和系数的数值．
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| 关 键 词： | 扩散方程 边界条件 恢复饱和系数 不平衡输沙 非均匀沙 |
| 文章编号： | 1672-9331（2006）03-0007-13 |
| 收稿时间： | 2006-06-23 |
| 修稿时间： | 2006-06-23 |
Boundary condition of diffusion equation and coefficient of saturation recovery |
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| HAN Qi-wei.Boundary condition of diffusion equation and coefficient of saturation recovery[J].Journal of Changsha University of Science and Technology:Natural Science,2006,3(3):7-19. |
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| Authors: | HAN Qi-wei |
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| Institution: | China Institute of Water Resources and Hydropower Research, Beijing 100044, China |
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| Abstract: | The boundary condition at bed surface of diffusion equation of nonuniform sediment is derived based on the author's concept of exchange intensity of stochastic theory.This condition is suitable for all 1-D,2-D,and 3-D equations,and determines the deposition and erosion.Integrating the 2-D diffusion equation,the coefficient of saturation recovery is derived and its characteristics can be revealed clearly.Then the theoretical expression of coefficient of saturation recovery under the strong equilibrium condition and the corresponding calculating value have been obtained.Finally,the approximate value of coefficient of saturation recovery under nonequibrium condition and the corresponding composite coefficient have also been presented. |
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| Keywords: | diffusion equation boundary condition coefficient of saturation recovery nonequilib-rium transportation nonuniform sediment |
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