平面非规则域内非线性边值问题稳态温度场分析

Analysis of steady temperature field in irregular plane domain with nonlinear boundary value

采用边界离散方法对具有辐射换热边界的平面非规则域内稳态温度场进行了分析，得到了级数形式 的解。进一步指出，边界离散方法不仅可以解决某些可分离变量的非正交问题，而且可以解决某些非线性边 值问题。

The steady temperature field in irregular plane domain with radiation heat exchange boundary is analyzed by the boundary discrete method, and the solution in form of series is obtained. Fur- ther more, it is pointed out that the boundary discrete method is not only adaptable to solve the nonorthogonal boundary problems of which the variables can be separated, but also is able to deal with the nonlinear boundary value problems.