Abstract Lattice Boltzmann direct numerical simulations of turbulent heat transfer over and inside anisotropic porous media are performed. This study considers turbulent plane channel flows whose bottom walls are made from the porous media at the bulk Reynolds number of 2900 with isothermal and conjugate heat transfer wall conditions. Four different porous walls are considered. They are walls with only the wall-normal permeability, with the wall-normal and spanwise permeabilities, with the wall-normal and streamwise permeabilities, and with the isotropic wall-normal, spanwise and streamwise permeabilities. The porosity of the porous walls ranges from 0.6 to 0.8. Discussions on the effects of the anisotropic permeability on turbulent thermal fields are carried out by the instantaneous flow visualizations and the statistical quantities. In particular, temperature fluctuations, turbulent and dispersion heat fluxes are examined both inside and outside the porous walls. Finally, the heat transfer performance is discussed considering the effects of the anisotropic permeability.

中文翻译：

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完全解析的各向异性多孔结构上湍流传热的直接数值模拟

摘要 进行了各向异性多孔介质内外湍流传热的格子 Boltzmann 直接数值模拟。本研究考虑了湍流平面通道流动，其底壁由体积雷诺数为 2900 的多孔介质制成，具有等温和共轭传热壁条件。考虑了四种不同的多孔壁。它们是仅具有壁法向渗透率、壁法向渗透率和展向渗透率、壁法向渗透率和流向渗透率以及各向同性壁法向渗透率、展向渗透率和流向渗透率的壁。多孔壁的孔隙率在 0.6 到 0.8 的范围内。通过瞬时流动可视化和统计量讨论了各向异性渗透率对湍流热场的影响。特别是，在多孔壁的内部和外部检查温度波动、湍流和分散热通量。最后，考虑了各向异性渗透率的影响，讨论了传热性能。