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基于辐射交换角系数的计算,考虑了参与性介质中的吸收而引起的辐射衰减,针对辐射平衡和复合导热辐射问题,导出了二维矩形封闭空腔内热交换的支配方程组.方程中出现了阶数不同的Bikley函数,把三维辐射交换简单化成一个二维问题。该函数不同于指数衰减函数,本文给出了它的拟合公式,并据此对基本方程组直接进行高斯积分和迭代求解.对光学厚度τ=0.1、1和5,以及导热辐射比N_1=1、0.1、0.01和0.001等12种情况分别求解,得到介质中的温度分布和热流分布,并与文献中的数值解作了比较。文中给出的方程组概念明确,计算方法简便,且具有很高的精度。
Based on the calculation of radiation exchange angle coefficient, the radiation attenuation caused by the absorption in the participating media is taken into account. For the radiation balance and the composite thermal radiation, the governing equations governing the heat exchange in a two-dimensional rectangular closed cavity are derived. Bikley functions of different orders simplify the three-dimensional radiation exchange into a two-dimensional problem. This function is different from the exponential decay function. In this paper, its fitting formula is given, and the basic equations are directly solved by Gauss integral and iterative method. For the optical thickness τ = 0.1, 1 and 5, and the thermal radiation ratio N_1 = 1, 0.1, 0.01 and 0.001 were solved respectively. The temperature distribution and heat flow distribution in the medium were obtained and compared with the numerical solution in the literature. The equations given in this paper are clear in concept, easy to calculate and have high precision.