地下直埋管道的温度场分析

Temperature Field Analysis of the Under ground Straight Buried Pipe

利用保形变换、分离变量及区域衔接方法分析了地下直埋管道的温度场，得到了级数形式的解。由于问题具有非正交性质，本文提出了一种确定级数项系数的边界离散方法。该方法也适用于其它类型的可分离变量的非正交问题。文中还对工程实例进行了计算，结果表明，目前仍在使用的简化算法具有较大相对误差。

The temperature field induced by a straight-buried pipe is analysed by the method ofconformal mapping, separation of variables and connection of domains. A series solution of the field isobtained. Because of nonorthogonality of the problem, a new method to determine coefficients of theseries is proposed, which is based on the discretization of boundary conditions at the nonorthogonalboundaries. The method can be adopted in the other types of nonorthogonal problems with separation ofvariables. An engineering example is calculated in the paper. The result indicates that the simplifiedmethod applied for engineering at present can result in considerable error in calculation of the temperature field.