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A simple method for evaluating and predicting chaotic advection in microfluidic slugs

机译:一种评估和预测微流团中混沌对流的简单方法

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摘要

A simple method for evaluating chaotic advection in slug micromixing is reported in this paper. We consider a slug moving in a slit microchannel (w?h)(w?h) and flow field in a plane far from the boundary walls is modelled as a two-dimensional low-Reynolds-number flow (Stokes flow). Analytical solution for normalised velocity field in the slug is derived. The two-dimensional analytical solution is compared with the two-dimensional slice from the three-dimensional numerical solution of the slug velocity field. Boundary conditions mimicking the motion of the slugs in microchannel geometries, in Lagrangian frame of reference, is used to track the passive tracer particles using Lagrangian particle tracking method. Poincar頳ections and dye advection patterns are used to analyse chaotic advection of passive tracer particles using statistical concepts such as 'variance', 'Shannon entrophy' and 'complete spatial randomness'. Results for boundary conditions mimicking constant-velocity straight-channel flow, constant-velocity normal-meandering channel flow are compared. A method for finding new channel geometries which enhance chaotic mixing is also proposed.
机译:本文报道了一种简单的方法来评估团状微混合中的混沌对流。我们考虑一个在狭缝微通道(w?h)(w?h)中运动的块,并且在远离边界壁的平面中的流场被建模为二维低雷诺数流(斯托克斯流)。推导了弹头中归一化速度场的解析解。从弹丸速度场的三维数值解中将二维解析解与二维切片进行了比较。在拉格朗日参照系中,模仿微通道几何中的弹头运动的边界条件,使用拉格朗日粒子跟踪方法来跟踪被动示踪剂粒子。 Poincarections和染料对流模式用于使用统计概念(例如“方差”,“ Shannon熵”和“完全空间随机性”)来分析被动示踪剂粒子的混沌对流。比较了模拟恒速直通道流,恒速法向弯道流的边界条件的结果。还提出了一种寻找新的通道几何形状的方法,该方法增强了混沌混合。

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