散射介质中辐射全交换面积的求解方法

A method of matrix relations for total radiant exchange areas in isotropic scattering media

在辐射交换面积叠加方法基础上,从辐射传热机理出发,定义了散射热流密度并给出矩阵表达式,用于分析介质的散射特性,推导出各向同性散射介质参与条件下辐射全交换面积各分量矩阵以及总矩阵的合成,所得结果与Noble方法完全一致。并模拟研究了介质的散射对辐射热交换的影响。该方法物理意义明确,推导过程简便,便于理解与分析,有利于准确求解各向同性散射介质参与的辐射换热问题。

Based on the method of superposition for radiant exchange area, scattering thermal density was defined and matrix equations were obtained for the analysis of radiant exchange areas in isotropic scattering media. The individual matrix equations and total matrix equations of total radiant exchange areas were derived for the case of a uniform grey absorbing-emitting/isotropically-scattering medium confined in an enclosure. The result was identical with that obtained with the Noble＇s method. The radiant exchange areas were calculated by considering the scattering property of the medium. Because the approach was simple, with physical significance and high calculation accuracy, it could be useful in simulating radiant heat exchange accurately in isotropically-scattering media.