水域边界上存在点源流动的相似性解的一种求解方法

A METHOD FOR SOLVING THE SIMILARITY SOLUTION OF FLOW FROM A LINE SOURCE LOCATED ON THE WATER AREA BOUNDARY

从流体力学复位势理论出发，对水域边界上存在点源流动问题（对某种边值问题的拉普拉斯方程）给出了相似变量及相似性解，导出了相似函数所满足的常微分方程及边界条件．该方法物理概念清晰，结果简明，对水利资源工程中的扩散问题有理论参考及工程应用意义．

In the paper, based on the potential flow theory of the fluid mechanics, the similar variable, the similarity solution, the ordinary differential equation of the similar function and its boundary conditions are deduced for the problem of flow from a line source located on the water area boundary. This is also the problem controlled by the Laplaces equation under some boundary conditions, and it has the similarity solution. The conception of the method is clear physically. Its results are simple and it is meaningful in theory and engineering applications for the diffusion problems in the water conservancy projects.