Aqueous filtration systems with granular media are increasingly implemented as a unit operation for the treatment of urban waters. Many of these aqueous filtration systems are designed with coarse granular media and are therefore subject to finite granular Reynolds numbers ($R{e}_{\text{g}}$). In contrast to the $R{e}_{\text{g}}$ conditions generated by such designs, current hydrosol filtration models, such as the Yao and RT models, rely on a flow solution that is derived within the Stokes limit at low $R{e}_{\text{g}}$. In systems that are subject to these finite and higher $R{e}_{\text{g}}$ regimes, the collector efficiency has not been examined. Therefore, in this study, we develop a 3D periodic porosity-compensated face-centered cubic sphere (PCFCC) computational fluid dynamics (CFD) model, with the surface interactions incorporated, to investigate the collector efficiency for $R{e}_{\text{g}}$ ranging from 0.01 to 20. Particle filtration induced by interception and sedimentation is examined for non-Brownian particles ranging from 1 to 100 μm under favorable surface interactions for particle adhesion. The results from the CFD-based PCFCC model agreed well with those of the classical RT and Yao models for $R{e}_{\text{g}}$ < 1. Based on 3150 simulations from the PCFCC model, we developed a new correlation for vertical aqueous filtration based on a modified gravitation number, $N_{\text{G}}^{*}$, for the initial deep-bed filtration efficiency at lower yet finite (0.01 to 20) $R{e}_{\text{g}}$. The proposed PCFCC model has low computational cost and is extensibile from vertical to horizontal filtration at low and finite $R{e}_{\text{g}}$.

具有颗粒介质的水过滤系统越来越多地作为处理城市水的单元操作来实施。这些水性过滤系统中的许多系统都是采用粗糙的颗粒介质设计的，因此必须遵守有限的颗粒雷诺数（$\mathrm{[R}{Ë}_{\text{G}}$）。与之相反$\mathrm{[R}{Ë}_{\text{G}}$ 在这种设计产生的条件下，当前的水溶胶过滤模型（例如，Yao和RT模型）依赖于在斯托克斯极限值较低时得出的流动解。 $\mathrm{[R}{Ë}_{\text{G}}$。在受这些有限及更高要求的系统中$\mathrm{[R}{Ë}_{\text{G}}$体制，收集器效率尚未检查。因此，在这项研究中，我们开发了3D周期性孔隙率补偿的面心立方球（PCFCC）计算流体动力学（CFD）模型，并结合了表面相互作用，以研究捕集器对$\mathrm{[R}{Ë}_{\text{G}}$范围为0.01到20。在有利的表面相互作用下，检查了由截留和沉降引起的颗粒过滤（范围为1到100μm的非布朗颗粒），以实现颗粒粘附。基于CFD的PCFCC模型的结果与经典RT和Yao模型的结果非常吻合。$\mathrm{[R}{Ë}_{\text{G}}$ <1.基于PCFCC模型的3150个模拟，我们基于修改后的引力值开发了一种用于垂直水过滤的新关联， ${ñ}_{\text{G}}^{*}$，对于较低但有限（0.01到20）的初始深床过滤效率 $\mathrm{[R}{Ë}_{\text{G}}$。所提出的PCFCC模型具有较低的计算成本，并且在低和有限的情况下可从垂直过滤扩展到水平过滤$\mathrm{[R}{Ë}_{\text{G}}$。