改进的配置点谱方法直接求解平行平板间的辐射传热  

A Modified Direct Collocation Spectral Method for Radiative Heat Transfer Between Parallel Plane Media

作　　者：孙亚松[1] 李本文[1] 

机构地区：[1]东北大学材料电磁过程研究教育部重点实验室,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2010年第7期977-981,共5页Journal of Northeastern University(Natural Science)

基　　金：国家重点基础研究发展计划项目(2006CB601203)

摘　　要：采用一种基于改进契贝谢夫配置点谱方法直接求解在吸收、发射和各向异性散射灰体参与性介质内的一维平行平板内的辐射传递方程.选取两个经典算例对改进的契贝谢夫配置点谱方法求解平行平板间的辐射传递问题的性能进行检验.通过改进的契贝谢夫配置点谱方法获得的辐射强度和辐射热流,并将计算结果与解析解和文献中采用最小二乘法获得的计算结果相比较.结果表明,采用改进的契贝谢夫配置点谱方法求解平行平板间的辐射换热问题是准确。A collocation spectral method based presented to directly solve the one-dimensional on modified Chebyshev polynomials expansions is radiative heat transfer problems with absorbing, emitting and anisotropically scattering media. Two cases of one-dimensional radiative heat transfer are examined to verify the performance of the modified Chebyshev collocation spectral method. The predicted radiative intensity and heat fluxes are compared with the results obtained by the least squares finite element method and analytic values. These results show that the present method can provide high accuracy to solve the radiative heat transfer between parallel plane media.

关 键 词：辐射传热 配置点谱方法 离散坐标方法 契贝谢夫多项式 直接求解 

分 类 号：TK124[动力工程及工程热物理—工程热物理]