Laminar Mixing: A Dynamical Systems Approach
Laminar Mixing: A Dynamical Systems Approach
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层流混合：动态系统方法
DOI：
10.1002/0471451452.ch3
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
F. Muzzio
中科院分区：
文献类型：
--
作者：
E. S. Szalai;M. Álvarez;F. Muzzio
在层流中，达到良好混合的唯一有效途径是混沌。混沌混合过程的动力学研究在本章中使用两个例子：一个简单的二维模型，正弦流，和一个实际的工业混合器，Kenics静态混合器。混沌运动产生了复杂的混合结构，但经过足够长的时间后，所有这些流中都出现了普遍的和可预测的长度尺度分布。在简单的2D模型和3D装置中控制混合的基本机制对于所有层流混沌流是相同和共同的。连续重复两个简单的动作，拉伸和折叠，创造了强大而复杂的混合结构，具有自相似的统计特性。可以从自相似概念中开发出一系列标度关系，用于预测和优化这些流动中的混合性能。此外，由于拉伸控制混合物组分之间的材料间区域的位置和密度，因此它对反应的演变具有直接影响。反应区的位置实际上与仅由混沌拉伸过程确定的混合结构相同。
The only efficient route to good mixing in laminar flows is by chaos. The dynamics of chaotic mixing processes is examined in this chapter using two examples: a simple 2D model, the sine flow, and a practical industrial mixer, the Kenics static mixer. Chaotic motion creates complex and intricate mixing structures, but after sufficient time a universal and predictable length scale distribution emerges in all these flows. The basic mechanism that controls mixing in the simple 2D model and the 3D device is identical and common to all laminar chaotic flows. The continuous repetition of two simple actions, stretching and folding, creates robust and complex mixing structures that have self‐similar statistical properties. A collection of scaling relationships can be developed from the self‐similarity concepts for predicting and optimizing mixing performance in these flows. Moreover, since stretching controls the location and density of the intermaterial area between mixture components, it has a direct impact on the evolution of reactions. The location of the reactive zones is practically identical to the mixing structure determined only by the chaotic stretching process.