间断谱元法分析圆柱坐标系内非均质辐射传热  

Analysis of Radiative Heat Transfer Within Heterogeneous Media in Cylindrical Coordinate by Discontinuous Spectral Element Method

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作  者:孙亚松 李新宇 李一帆 李思达 刘长号 周瑞睿 SUN Yasong;LI Xinyu;LI Yifan;LI Sida;LIU Changhao;ZHOU Ruirui(Basic Research Center,School of Power and Energy,Northwestern Polytechnical University,Xi’an 710072,China;Center of Computational Physics and Energy Science,Yangtze River Delta Research Institute of NPU,Taicang 215400,China;School of Energy and Power Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区:[1]西北工业大学动力与能源学院,基础研究中心,西安710072 [2]西北工业大学太仓长三角研究院,计算物理与能源科学中心,太仓215400 [3]上海理工大学能源与动力工程学院,工程热物理研究所,上海200093

出  处:《工程热物理学报》2022年第10期2718-2726,共9页Journal of Engineering Thermophysics

基  金:国家自然科学基金(No.51976173);陕西省重点研发计划(No.2018SF-387);江苏省自然科学基金(No.BK20201204);太仓市基础研究计划(No.TC2019JC01)。

摘  要:在非均匀高温介质中,辐射能束的传输路径会发生弯曲;并且,圆柱坐标系下辐射传递方程存在角向微分项。这都将导致辐射传递过程的分析和求解变得更加复杂。本文利用间断谱元法数值稳定、易于适应复杂区域、能够捕捉单元边界物理量的大变化、且在单元内实现高阶离散的特点,构建一种圆柱坐标系下非均匀介质内辐射传热模型。在求解过程中,将计算域离散成相互独立的单元,在单元内利用高阶谱配置点离散,并且在单元边界上通过施加迎风格式的数值通量来传递上下游信息。通过与多组文献结果对比分析,验证了间断谱元法求解圆柱坐标系下非均匀介质内辐射传热问题的正确性和有效性。并分析了间断谱元法的收敛速度,以及介质折射率分布、光学厚度和壁面发射率对辐射传热的影响。In the heterogeneous high-temperature media, the ray of radiant energy is transmitted along a curved path. The radiative transfer equation in cylindrical coordinate exists the angular derivative term. Thus, the solution of the radiative transfer equation with heterogeneous media in cylindrical coordinate is complex. The discontinuous spectral element method(DSEM) exits lots of advantages, such as numerical stability, flexibility to deal with complex geometry, capturing the large variation of quantity at the element boundary. In this paper, the thermal radiation model with heterogeneous media in cylindrical coordinate is established by the DSEM. In the solving process,the computational domain is discretized as independent elements, and the high order spectral collocation points are adopted to discretize these elements. In the element boundary, the numerical flux with an upwind scheme is used to transmit information from upstream to downstream. Several cases are chosen to validate the DSEM model in solving radiative heat transfer problems with heterogeneous media in cylindrical coordinate. Then, the convergence rate of the DSEM, the effects of refractive index distribution, optical thickness and boundary emissivity on radiative heat transfer are comprehensively investigated.

关 键 词:间断谱元 圆柱坐标 非均匀介质 辐射传热 逐单元计算 

分 类 号:TK123[动力工程及工程热物理—工程热物理]

 

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