AI 中文总结
本研究通过颗粒分辨直接数值模拟，针对5种柏拉图多面体开发了取向相关的阻力、升力与扭矩关联式，为多相流中非球形颗粒输运的模拟提供了高效工具。
AI 中文摘要
本研究采用颗粒分辨直接数值模拟，对5种柏拉图多面体（其面数递增，代表颗粒球度的演化）绕流展开研究。模拟涵盖颗粒雷诺数范围0.1 ≤ Re_p ≤ 300，以及颗粒相对来流的多种取向。基于数值数据，开发了阻力、升力与扭矩系数的新关联式：所提阻力关联式明确考虑了雷诺数与颗粒取向；升力与扭矩系数由取向相关的三角函数和指数基函数表示，其系数随雷诺数变化。模拟采用浸入边界法完成，所得阻力关联式可准确复现数值数据；升力与扭矩关联式捕捉到了数值模拟中观测到的主要趋势，包括对颗粒取向的强依赖性。所提关联式为将取向相关的流体动力与扭矩纳入欧拉-拉格朗日及点颗粒模拟提供了计算高效的框架，使多相流中非球形颗粒输运的表征与预测更贴合实际。
英文摘要
In this work, particle-resolved direct numerical simulations are performed to investigate flow past the five Platonic solids, which represent a progression in particle sphericity with an increasing number of faces. The simulations cover particle Reynolds numbers in the range 0.1 <= Re_p <= 300 and multiple particle orientations relative to the incoming flow. Based on the numerical data, new correlations are developed for the drag, lift, and torque coefficients. The proposed drag correlation explicitly accounts for both Reynolds number and particle orientation, whereas the lift and torque coefficients are represented by orientation-dependent trigonometric and exponential basis functions whose coefficients vary with Reynolds number. The simulations are conducted using the immersed boundary method, and the resulting drag correlation accurately reproduces the numerical data. The lift and torque correlations capture the principal trends observed in the numerical simulations, including the strong dependence on particle orientation. The proposed correlations provide a computationally efficient framework for incorporating orientation-dependent hydrodynamic forces and torques into Euler--Lagrange and point-particle simulations, enabling a more realistic representation and predictions of non-spherical particle transport in multiphase flows.
