灰介质辐射传热的一种数学模型

Mathematical Model of Grey Media Radiative Heat Transfer

在前人工作的基础上，从辐射传热的基本原理出发，给出了描述灰介质辐射传热的一组控制微分方程组。该方程组克服了目前热流法中空间、方向耦合差的缺陷，并反映了辐射传热的三维本质特性，同时也引进了辐射热流方向耦合系数矩阵、辐射热流通量、辐射场强等概念。该方程组较容易与其它传输方程耦合在一起。

On the basis of the previous works a set of control differential equations of heat transfer by radiation are established from the point of view of the basic principle of radiative transport. The fault of frangible space and orientation coupling is overcome the three dimension characteristic feature of the radiation process is revealed. In the same time the concepts of the coefficient matrix of coupling radiative heat flux orientation, radiation heat flux, radiation field density and so on are introduced. The equations are easily to be coupled to the other transport equations to solve practical problems.