炉膛辐射换热计算的一种改进的离散传递法

AN IMPROVED DISCRETE TRANSFER METHOD FOR RADIATIVE HEAT TRANSFER IN FURNACES

在Lockwood和Shah于1981年提出的离散传递法中,求解沿特征射线的辐射传递方程时没有将入射散射项计入。基于作者最近提出的带微小加权离散坐标格式,文中提出了一种改进的离散传递法:首先采用一个常规离散坐标系列来求解辐射强度场,然后再由此强度场向特征射线的辐射传递方程提供源函数(包括入射散射项)。这样,改进的离散传递法就可以处理有散射的多维辐射问题。最后采用2个二维测试问题对这一方法进行了验证,证明该法能适用于任何场合。

In the Discrete Transfer Method (DIM) proposed by Lockwood and Shah [18th Symp. (Int.) on Combustion, Pittsburgh, 1981], in-scattering was ignored when solving the RTEs for the representative rays. On the basis of the discrete ordinate scheme with infinitely small weights (DOS+ISW) which was recently proposed by the present authors, an improved DTM is proposed in this work: a conventional discrete ordinate quadrature set is employed to calculate the intensity field, which in turn provides the RTEs for the representative rays with source functions including the in-scattering. In this way, the improved DTM is capable of accounting for scattering in the medium. Two test problems are employed to validate the present method.