Predicting radiative heat transfer in axisymmetric cylindrical enclosures using the collocation spectral method

作     者：Zhou, Rui-Rui Li, Ben-Wen Sun, Ya-Song 

作者机构：Univ Shanghai Sci & Technol Sch Energy & Power Engn Shanghai Key Lab Multiphase Flow & Heat Transfer Shanghai 200093 Peoples R China Dalian Univ Technol Sch Energy & Power Engn Key Lab Ocean Energy Utilizat & Energy Conservat Minist Educ Dalian 116024 Peoples R China Northwestern Polytech Univ Sch Power & Energy Shaanxi Key Lab Thermal Sci Aeroengine Syst Xian 710072 Peoples R China Yangtze River Delta Res Inst NPU Ctr Computat Phys & Energy Sci Taicang 215400 Peoples R China 

出 版 物：《INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER》 (国际传热与传质通讯)

年 卷 期：2020年第117卷

页      面：104789-104789页

核心收录：

学科分类：080702[工学-热能工程] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：National Key R&D Program of China [2017YFB0603500] Natural Science Foundation of China 

主　　题：Radiative transfer equation Spectral methods Discrete ordinates method Ray effect Cylindrical medium 

摘      要：In this paper, the collocation spectral method (CSM) is extended to solve the radiative transfer equation (RTE) in two-dimensional axisymmetric cylindrical medium, and an iterative solver based on Schur decomposition is developed for the spectral discretized equations. Then the performance of CSM is assessed by comparing with the semi-analytic solutions and the discrete ordinates method (DOM). The results show that the layout of angular grid points has great influence on the accuracy of CSM, and rearranging the angular grid can even reduce the ray effect. But a more reliable method to alleviate the ray effect is to decompose the radiative intensity into two components with separate treatments as the modified DOM proposed by Ramankutty and Crosbie (JQSRT, 57(1997) 107-140). Besides, the CSM can offer more accurate results than the DOM with acceptable computational cost and memory consumption, thus can be an alternative for the solution of RTE in cylindrical coordinates. However, the CSM loses its high order convergence accuracy for the two-dimensional problems due to the unavoidable non-smooth distribution of radiative intensity in both spatial and angular domains. Further treatments should be applied to improve the performance of CSM.