Microfluidic rheology of active particle suspensions: Kinetic theory.
Microfluidic rheology of active particle suspensions: Kinetic theory.
复制标题
活性颗粒悬浮液的微流体流变学：动力学理论。
作者：
R. Alonso;Barath Ezhilan;D. Saintillan
我们分析了受压力驱动流动的两个无限平行板之间的自行式细长颗粒稀释液的有效流变性。我们使用一个连续介质动力学模型来描述系统中颗粒的构型，其中考虑了游泳者诱导的扰动流动，并用它来计算微流体实验中典型的通道宽度和流动强度范围内悬浮粘度的估计值。我们的结果与以前的主体模型一致，特别是证明了活性的影响在低流量时最强，推进器倾向于降低悬浮液的粘度，而拉动器则会增强悬浮液的粘度。在更强的流动中，耗散应力克服了导致粘性增加的活动的影响，随后是剪切稀化。我们还分析了禁闭和数密度的影响，我们的结果证实了最近在中等密度的推进器悬浮液上所报道的向超流的明显转变。文中还给出了弱流道和宽流道极限下有效粘性的近似解析表达式，理论计算与数值计算吻合较好。
We analyze the effective rheology of a dilute suspension of self-propelled slender particles confined between two infinite parallel plates and subject to a pressure-driven flow. We use a continuum kinetic model to describe the configuration of the particles in the system, in which the disturbance flows induced by the swimmers are taken into account, and use it to calculate estimates of the suspension viscosity for a range of channel widths and flow strengths typical of microfluidic experiments. Our results are in agreement with previous bulk models, and in particular, demonstrate that the effect of activity is strongest at low flow rates, where pushers tend to decrease the suspension viscosity whereas pullers enhance it. In stronger flows, dissipative stresses overcome the effects of activity leading to increased viscosities followed by shear-thinning. The effects of confinement and number density are also analyzed, and our results confirm the apparent transition to superfluidity reported in recent experiments on pusher suspensions at intermediate densities. We also derive an approximate analytical expression for the effective viscosity in the limit of weak flows and wide channels, and demonstrate good agreement between theory and numerical calculations.
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