In this article, a coupling of the direct numerical simulation (DNS) and the population balance modeling (PBM) is implemented to study the effect of turbulence on nanoparticle dynamics in homogenous isotropic turbulence (HIT). The DNS is implemented based on a pseudo-spectral method and the PBM is implemented using the Taylor-series expansion method of moments. The result verifies that coagulation due to turbulent shear force has a bigger impact on the evolution of number concentration, polydispersity, and average diameter of nanoparticles than Brownian coagulation in the HIT. The Reynolds number plays an important role in determining the number concentration, polydispersity, and average diameter of nanoparticles, and these quantities change more rapidly with an increase of Reynolds number. It is also found that the initial geometric standard deviation slows down the evolution of particle dynamics, but almost has no influence on the polydispersity of nanoparticles.

在本文中，将直接数值模拟（DNS）与总体平衡模型（PBM）耦合起来，以研究湍流对均质各向同性湍流（HIT）中纳米粒子动力学的影响。DNS是基于伪谱方法实现的，而PBM是使用矩的泰勒级数展开方法实现的。结果证明，湍流剪切力引起的凝结对粒子数浓度，多分散性和纳米粒子平均直径的演变比HIT中的布朗氏凝结具有更大的影响。雷诺数在确定纳米粒子的数量浓度，多分散性和平均直径方面起着重要作用，并且随着雷诺数的增加，这些数量变化更快。