论文标题
聚集簇揭示了摩擦流体力学的新制度
Coalescing Clusters Unveil New Regimes of Frictional Fluid Mechanics
论文作者
论文摘要
在许多生物学和工业过程中，液滴合并至关重要，涉及像细胞骨料，胶体悬浮液和聚合物液体一样多样化的复杂系统。合并簇的时间演变的经典解决方案通常基于可拖动的限制物理学，例如对Stokes方程的分析解决方案。通过结合计算和理论分析，我们表明存在一个未开发的合并过程：由高度耗散耦合与环境支配的家族。这导致了表征液滴合并的新扩展定律，以及合并系统形状演化的新的时间存在参数化。我们通过基于粒子的模拟以及对流体动力方程的连续性和边界集成溶液来证明这些效果，然后我们在广义的Navier-Stokes样方程的背景下理解。我们对高度摩擦合并的理论描述在存在表面张力效应的情况下，将数学上的数学映射到达西流，从而开辟了令人兴奋的研究途径，以将精心研究的流体动力学技术应用于广泛的新型系统。
Droplet coalescence is essential in a host of biological and industrial processes, involving complex systems as diverse as cellular aggregates, colloidal suspensions, and polymeric liquids. Classical solutions for the time evolution of coalescing clusters are typically based on tractable limiting physics, such as analytical solutions to the Stokes equation. By combining computational and theoretical analyses, we show that there is an unexplored family of coalescence processes: those governed by highly dissipative coupling to the environment. This leads to new scaling laws characterizing droplet coalescence, as well as new time-invariant parameterizations of the shape evolution of the coalescing system. We demonstrate these effects via particle-based simulations and both continuum and boundary-integral solutions to hydrodynamic equations, which we then understand in the context of a generalized Navier-Stokes-like equation. Our theoretical description of highly frictional coalescence mathematically maps onto Darcy flow in the presence of surface tension effects, opening up exciting avenues of research in applying well-studied fluid dynamical techniques to a broad range of novel systems.
