论文标题

拉格朗日的脉冲流中的拉格朗日混合在狭窄的管中

Lagrangian mixing of pulsatile flows in constricted tubes

论文作者

Barrere, Nicasio, Brum, Javier, Anzibar, Maximiliano, Rinderknecht, Felipe, Sarasúa, Gustavo, Cabeza, Cecilia

论文摘要

在这项工作中,使用了几种拉格朗日方法来分析脉冲流下狭窄动脉的实验模型中的混合过程。上游雷诺数$ re $在1187年至1999年之间进行了更改,而脉动周期$ t $保持固定为0.96。使用数字粒子图像速度法(DPIV)获取速度字段,以适用于位于收缩下游的感兴趣区域(ROI)。该流程由中央射流和一个循环区域靠近涡流和棚子的墙壁组成。为了研究混合过程,计算有限的时间Lyapunov指数(FTLE)字段和浓度图。从FTLE脊中发现了两个负责混合和运输流体的拉格朗日相干结构(LCS)。第一个LCS划定了涡旋的后边缘,将连续时间之间的ROI的流程分开。第二个LCS划定了涡旋的前沿。该LCS浓缩了最高的粒子聚集,如浓度图所证实。此外,从粒子停留时间图(RT)从测量一个周期之前离开ROI的流体粒子的概率。随着$ re $的增加,离开ROI的可能性从0.6增加到0.95。引入了最终位置地图$ r {_f} $,以评估ROI不同子区域之间的流量混合。这些地图使我们能够计算子区域之间的交换索引,$ \ bar {\ mathrm {ei}} $,该$显示了负责混合$ re $的主要区域。最后,通过整合不同拉格朗日方法的结果(FTLE,浓度图,RT和$ R_F $地图),对流量的混合和运输进行了全面描述。

In this work several lagrangian methods were used to analyze the mixing processes in an experimental model of a constricted artery under a pulsatile flow. Upstream Reynolds number $Re$ was changed between 1187 and 1999, while the pulsatile period $T$ was kept fixed at 0.96s. Velocity fields were acquired using Digital Particle Image Velocimetry (DPIV) for a region of interest (ROI) located downstream of the constriction. The flow is composed of a central jet and a recirculation region near the wall where vortex forms and sheds. To study the mixing processes, finite time Lyapunov exponents (FTLE) fields and concentration maps were computed. Two lagrangian coherent structures (LCS) responsible for mixing and transporting fluid were found from FTLE ridges. A first LCS delimits the trailing edge of the vortex, separating the flow that enters the ROI between successive periods. A second LCS delimits the leading edge of the vortex. This LCS concentrates the highest particle agglomeration, as verified by the concentration maps. Moreover, from the particle residence time maps (RT) the probability for a fluid particle of leaving the ROI before one cycle was measured. As $Re$ increases, the probability of leaving the ROI increases from 0.6 to 0.95. Final position maps $r{_f}$ were introduced to evaluate the flow mixing between different subregions of the ROI. These maps allowed us to compute an exchange index between subregions, $\bar{\mathrm{EI}}$, which shows the main region responsible for the mixing increase with $Re$. Finally by integrating the results of the different lagrangian methods (FTLE, Concentration maps, RT and $r_f$ maps), a comprehensive description of the mixing and transport of the flow was provided.

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