具有辐射边界的三维非规则域内稳态温度场分析

An Analysis of the Steady-state Temperature Field in a Spatial Irregular Domain with a Radiation Boundary

研究了具有辐射边界的空间非规则域内稳态导热问题 ,求解方法为在球极坐标系内分离变量 ,获得级数形式的解后 ,采用边界离散法确定级数项的待定系数。算例表明 ,边界离形方法不仅可以解决非正交边界问题 ,而且也可以处理诸如辐射边界的非线性边值问题。

Studied is a steady state heat conduction problem in a spatial irregular domain with a radiation boundary. The following method has been employed to solve the problem. With variables being separated in spatial spherical coordinates obtained is a solution of series mode. Then, by using a boundary discrete method one can obtain the factor of the series term to be determined. The calculation example indicates that the boundary discrete method can be used to solve not only non orthogonality boundary problems, but also problems of nonlinear boundary (such as a radiation boundary) value.