非聚结惯性液滴的浮力驱动运动：基于最近邻粒子统计的微观结构建模
Buoyancy driven motion of non-coalescing inertial drops: microstructure modeling with nearest particle statistics
AI总结：
本研究针对分散浮力乳液的微观结构问题，开发了集成于VoF法的防数值聚结新算法，通过DNS结合最近邻粒子统计，量化了Ga、体积分数、黏度比对液滴微观结构的影响规律。
摘要：
本研究分析了分散浮力乳液中液滴可形成的各种排布结构，我们将这类研究称为微观结构研究。为此，我们开发了一种新算法，可在维持合理计算成本的同时有效防止液滴间的数值聚结。该算法被集成到流体体积法（Volume of Fluid, VoF）中，并通过开源代码http://basilisk.fr实现。随后，我们在广泛的无量纲参数范围内，对统计稳态的单分散浮力乳液开展了直接数值模拟（Direct Numerical Simulations, DNS），涉及的参数包括颗粒体积分数（$\phi$）、伽利略数（Galileo number, $Ga$）和黏度比（$\lambda$）。我们利用最近邻粒子统计来量化微观结构特性。正如Zhang等人（2023）所预测的，研究证实最近邻粒子对分布的二阶矩可有效量化颗粒团簇、层状结构等微观结构特征。具体研究结果如下：（1）在中等惯性流动（$Ga = 10$）中，液滴会形成各向同性团簇；在高惯性区域（$Ga = 100$）中，更易形成水平层状结构等非各向同性团簇。（3）黏度比对微观结构的形成有显著影响，黏度低于或等于周围流体的液滴更倾向于形成层状结构。总体而言，本研究从$Ga$、$\phi$和$\lambda$的角度为微观结构提供了一种量化度量方式。
英文摘要：
In this study, we analyze the various arrangements that droplets can form within dispersed buoyant emulsions, which we refer to as the study of microstructure. To this end, we have developed a novel algorithm that effectively prevents numerical coalescence between drops while maintaining a reasonable computational cost. This algorithm is integrated into the Volume of Fluid (VoF) method and implemented using the open-source code http://basilisk.fr. Subsequently, we perform Direct Numerical Simulations (DNS) of statistically steady state mono-disperse buoyant emulsion over a broad range of dimensionless parameters, including the particle volume fraction ($ϕ$), the Galileo number ($Ga$) and the viscosity ratio ($λ$). We make use of nearest particle statistics to quantify the microstructure properties. As predicted by Zhang et al. (2023), it is demonstrated that the second moment of the nearest particle pair distribution can effectively quantify microstructural features such as particle clusters and layers. Specifically, the findings are: (1) In moderately inertial flows ($Ga = 10$), droplets form isotropic clusters. In high inertial regimes ($Ga = 100$), non-isotropic clusters, such as horizontal layers, are more likely to form. (3) The viscosity ratio plays a significant role in determining the microstructure, with droplets that are less viscous or equally viscous as the surrounding fluid tending to form layers preferentially. Overall, our study provides a quantitative measure of the microstructure in terms of $Ga$, $ϕ$ and $λ$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
