Abstract The thermal lattice Boltzmann method using an immersed moving boundary condition was employed to calculate the particle-to-fluid heat transfer in an assembly of super-quadric cubes. The simulations were performed for Reynolds numbers 1–100 (based on the volume equivalent diameter) and solid volume fractions ϕ = 0.1–0.45. The simulation results show that the Nusselt numbers for assemblies of super-quadric cubes are larger than those for assemblies of spheres, in particular for high solid volume fractions. A relationship between the average Nusselt number and the drag force (Chen & Muller, 2018) for assemblies of cubes was developed. It was found that the average drag force acting on cubes increases faster with increasing solid volume fraction than the average Nusselt number. Defining the Reynolds number and the Nusselt number using the hydraulic diameter of the packing system ( R e h ) and the Sauter diameter of the cube, respectively, the Nusselt number correlation of Chen & Muller (2019), that was proposed for assemblies of spheres, can be applied for assemblies of non-spherical particles. We also demonstrate that the proposed Nusselt number correlation predicts well the heat transfer between a gas and ellipsoidal or cylindrical particles.

中文翻译：

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ReV≤100的立方体组件中的气固传热

摘要 采用浸入式移动边界条件的热晶格玻尔兹曼方法计算了超二次立方体组件中粒子到流体的传热。对雷诺数 1–100（基于体积等效直径）和固体体积分数 ϕ = 0.1–0.45 进行了模拟。模拟结果表明，超二次立方体组件的 Nusselt 数大于球体组件的 Nusselt 数，特别是对于高固体体积分数。开发了立方体组件的平均努塞尔数与阻力之间的关系 (Chen & Muller, 2018)。发现作用在立方体上的平均阻力随着固体体积分数的增加而增加得比平均努塞尔数更快。分别使用填料系统的水力直径 (R eh ) 和立方体的索特直径定义雷诺数和努塞尔数，Chen & Muller (2019) 提出的用于球体组装的努塞尔数相关性，可用于非球形颗粒的组装。我们还证明，所提出的 Nusselt 数相关性可以很好地预测气体与椭球或圆柱颗粒之间的热传递。