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.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
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)
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
radiative heat transfer
collocation spectral method
discrete ordinates method
Chebyshev polynomials
direct solution
