处理辐射换热的一个新热流数学模型

本文从辐射与传输的最基本的原理出发,引进“等价热流”、“正向投射热流”“反向投射热流”,“正向赝投射热流”及“反向赝投射热流”的概念,定义了一个具有统计意义的“比热流参数”,建立了一般情况下的热流微分方程,并在几种特殊入射强度分布的情况下用Monte-Carlo方法求解了比热流参数的具体值,同时给出了一个常用情况下的边界条件,构成了完备的数学模型,该模型与文献[2]的模型有所不同,它能较好说明文献[2]方程计算结果偏小的问题。

A MATHEMATICAL MODEL OF NEW HEAT T LUN FOR RADIA-TIVE HEAT EXCHANGE

In this paper based on the basic principle of radiation and transfer,a setof differential equations of heat flux in a general case was established by defini-tion of the specific heat flux parameter, which passesses statistical meaning, andconceptions of eguivalent heat flux,heat flux of positive direct-irradiation,heat fluxof negtive dirrect-irradiation, and pseudo heat flux of ppsitive (or negtive)dirrect-irradiation. The values of specific heat flux parameter under several certain distribu-tions of incident radiation were obtained by means of Monte-Carlo methed.Meanahile the boundary conditions for common cases were given as well All ofthese forms a perfect mathematical model uhich differs frlm the model in paper,and would be much better of explaining the problem occured why the calculatingresults was smaller than the measured results in the same paper