• Acta Physica Sinica
  • Vol. 69, Issue 3, 034401-1 (2020)
Cun-Hai Wang1、2、*, Shu Zheng3、*, and Xin-Xin Zhang1、2
Author Affiliations
  • 1School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China
  • 2Beijing Key Laboratory of Energy Conservation and Emission Reduction for Metallurgical Industry, Beijing 100083, China
  • 3School of Energy, Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, China
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    DOI: 10.7498/aps.69.20191185 Cite this Article
    Cun-Hai Wang, Shu Zheng, Xin-Xin Zhang. Discontinuous finite element solutions for coupled radiation-conduction heat transfer in irregular media[J]. Acta Physica Sinica, 2020, 69(3): 034401-1 Copy Citation Text show less
    (a) Spatial mesh; (b) sketch of numerical flux across the adjacent elements.(a)空间网格; (b)相邻单元间数值通量示意图
    Fig. 1. (a) Spatial mesh; (b) sketch of numerical flux across the adjacent elements.(a)空间网格; (b)相邻单元间数值通量示意图
    Dimensionless temperature T/Tb along the symmetry line x/L = 0.5 for the cases: (a) Different spatial discretization schemes; (b) different angular discretization schemes.方形介质对称线x/L = 0.5上无量纲温度T/Tb分布 (a)不同空间网格划分; (b)不同角度划分
    Fig. 2. Dimensionless temperature T/Tb along the symmetry line x/L = 0.5 for the cases: (a) Different spatial discretization schemes; (b) different angular discretization schemes. 方形介质对称线x/L = 0.5上无量纲温度T/Tb分布 (a)不同空间网格划分; (b)不同角度划分
    Comparison of dimensionless temperature along the square medium symmetry line x/L = 0.5 obtained by DFEM and DTM for the cases: (a) Different Planck numbers; (b) different scattering albedos.方形介质对称线x/L = 0.5上无量纲温度的DFEM结果和DTM结果对比 (a)不同普朗克数; (b)不同散射反照率
    Fig. 3. Comparison of dimensionless temperature along the square medium symmetry line x/L = 0.5 obtained by DFEM and DTM for the cases: (a) Different Planck numbers; (b) different scattering albedos. 方形介质对称线x/L = 0.5上无量纲温度的DFEM结果和DTM结果对比 (a)不同普朗克数; (b)不同散射反照率
    Comparison of dimensionless temperature along the square medium symmetry line x/L = 0.5 obtained by different numerical methods.不同数值方法得到的方形介质对称线上的无量纲温度对比
    Fig. 4. Comparison of dimensionless temperature along the square medium symmetry line x/L = 0.5 obtained by different numerical methods. 不同数值方法得到的方形介质对称线上的无量纲温度对比
    Semicircle medium with an inner circle hot boundary: (a) Geometry sketch; (b) spatial discretization.内含圆形热壁面的半圆形介质 (a)结构示意图; (b)网格划分
    Fig. 5. Semicircle medium with an inner circle hot boundary: (a) Geometry sketch; (b) spatial discretization.内含圆形热壁面的半圆形介质 (a)结构示意图; (b)网格划分
    Temperature distributions along the symmetric line of the semicircle medium obtained by different numerical algorithms: (a) y = [0.0, 0.2]; (b) y = [0.6, 1.0].不同数值方法得到的半圆介质对称线上温度分布 (a) y = [0.0, 0.2]; (b) y = [0.6, 1.0]
    Fig. 6. Temperature distributions along the symmetric line of the semicircle medium obtained by different numerical algorithms: (a) y = [0.0, 0.2]; (b) y = [0.6, 1.0]. 不同数值方法得到的半圆介质对称线上温度分布 (a) y = [0.0, 0.2]; (b) y = [0.6, 1.0]
    Total flux distributions along the bottom boundary of the semicircle medium under the situations with different Plank numbers: (a) Npl = 0.1; (b) Npl = 1.0.不同普朗克数条件下半圆介质底边上总热流密度分布 (a) Npl = 0.1, (b) Npl = 1.0
    Fig. 7. Total flux distributions along the bottom boundary of the semicircle medium under the situations with different Plank numbers: (a) Npl = 0.1; (b) Npl = 1.0. 不同普朗克数条件下半圆介质底边上总热流密度分布 (a) Npl = 0.1, (b) Npl = 1.0
    Irregular medium with an inner hot boundary: (a) Geometry sketch; (b) spatial discretization.内含圆形热边界的非规则形状介质 (a)结构示意图; (b)网格划分
    Fig. 8. Irregular medium with an inner hot boundary: (a) Geometry sketch; (b) spatial discretization.内含圆形热边界的非规则形状介质 (a)结构示意图; (b)网格划分
    (a) Temperature distributions along the centerline of the irregular medium with an inner hot boundary; (b) temperature distribution within the computation domain for the case of Npl = 0.1; (c) temperature distribution within the computation domain for the case of Npl = 1.0.(a)普朗克数Npl = 0.1和1.0时内含圆形热边界的非规则形状介质中线上温度分布; (b) Npl = 0.1时介质温度分布; (c) Npl = 1.0时介质温度分布
    Fig. 9. (a) Temperature distributions along the centerline of the irregular medium with an inner hot boundary; (b) temperature distribution within the computation domain for the case of Npl = 0.1; (c) temperature distribution within the computation domain for the case of Npl = 1.0. (a)普朗克数Npl = 0.1和1.0时内含圆形热边界的非规则形状介质中线上温度分布; (b) Npl = 0.1时介质温度分布; (c) Npl = 1.0时介质温度分布
    The medium the square medium with two circular hot boundaries: (a) Geometry sketch; (b) spatial discr etization.内含两个圆形热边界的矩形介质 (a)结构示意图; (b)网格划分
    Fig. 10. The medium the square medium with two circular hot boundaries: (a) Geometry sketch; (b) spatial discr etization.内含两个圆形热边界的矩形介质 (a)结构示意图; (b)网格划分
    (a) Temperature distributions along the centerline of the square medium with two circular hot boundaries; (b) temperature distribution within the computation domain for the case of Npl = 0.1; (c) temperature distribution within the computation domain for the case of Npl = 1.0(a)普朗克数Npl = 0.1和1.0时内含两个圆形热边界的矩形介质中线上温度分布; (b) Npl = 0.1时介质温度分布; (c) Npl = 1.0时介质温度分布
    Fig. 11. (a) Temperature distributions along the centerline of the square medium with two circular hot boundaries; (b) temperature distribution within the computation domain for the case of Npl = 0.1; (c) temperature distribution within the computation domain for the case of Npl = 1.0 (a)普朗克数Npl = 0.1和1.0时内含两个圆形热边界的矩形介质中线上温度分布; (b) Npl = 0.1时介质温度分布; (c) Npl = 1.0时介质温度分布
    Cun-Hai Wang, Shu Zheng, Xin-Xin Zhang. Discontinuous finite element solutions for coupled radiation-conduction heat transfer in irregular media[J]. Acta Physica Sinica, 2020, 69(3): 034401-1
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