均相和各向同性湍流中的柯尔莫哥洛夫大小粒子

Alessandro Chiarini, Simone Tandurella, Marco Edoardo Rosti
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引用次数: 0

摘要

我们研究了在微尺度雷诺数为 $Re_\lambda \approx$ 的均质各向同性湍流中运动的 Kolmogorov 大小的球形颗粒悬浮液的流固相互作用。我们考虑了两种体积分数:$10^{-5}$ 和 $10^{-3}$,并将固液密度比设为 $5$ 和 $100$。我们对界面分辨(PR-DNS)和单向耦合点粒子(PP-DNS)直接数值模拟进行了比较。我们发现,在惯性尺度范围内,调制能谱显示出经典的 5/3 美元科尔莫哥罗夫缩放,而在较小尺度范围内则显示出 4 美元的缩放,后者是由于粒子注入的能量与粘滞耗散之间的平衡所导致的,而粒子注入的能量与粘滞耗散之间的平衡则是在原本平滑的流体中产生的。对小尺度流动拓扑结构的分析表明,粒子主要倾向于轴向应变和涡流压缩事件。针对 PR-DNS 所研究的粒子动力学及其集体运动被用来评估 PP-DNS 的有效性。我们发现,在低密度情况下,PP-DNS 对粒子运动的拉格朗日统计量和欧拉统计量的预测都相当好,而在高密度情况下则存在一些差异。另外,与 PR-DNS 相比,PP-DNS 对悬浮物的聚类程度预测不足,在高密度情况下差异更大。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Kolmogorov-size particles in homogeneous and isotropic turbulence
We investigate the fluid-solid interaction of suspensions of Kolmogorov-size spherical particles moving in homogeneous isotropic turbulence at a microscale Reynolds number of $Re_\lambda \approx 140$. Two volume fractions are considered, $10^{-5}$ and $10^{-3}$, and the solid-to-fluid density ratio is set to $5$ and $100$. We present a comparison between interface-resolved (PR-DNS) and one-way-coupled point-particle (PP-DNS) direct numerical simulations. We find that the modulated energy spectrum shows the classical $-5/3$ Kolmogorov scaling in the inertial range of scales and a $-4$ scaling at smaller scales, with the latter resulting from a balance between the energy injected by the particles and the viscous dissipation, in an otherwise smooth flow. An analysis of the small-scale flow topology shows that the particles mainly favour events with axial strain and vortex compression. The dynamics of the particles and their collective motion studied for PR-DNS are used to assess the validity of the PP-DNS. We find that the PP-DNS predicts fairly well both the Lagrangian and Eulerian statistics of the particles motion for the low-density case, while some discrepancies are observed for the high-density case. Also, the PP-DNS is found to underpredict the level of clustering of the suspension compared to the PR-DNS, with a larger difference for the high-density case.
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