Orientation dynamics and stretching of particles in unsteady, three-dimensional fluid flows: Unsteady attractors

Orientation dynamics and stretching of particles in unsteady, three-dimensional fluid flows: Unsteady attractors
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不稳定三维流体流动中粒子的定向动力学和拉伸:不稳定吸引子

DOI:
10.1016/0960-0779(94)90131-7
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发表时间:
1994
影响因子:
7.8
通讯作者:
L. Leal
L. Leal
中科院分区:
数学1区
文献类型:
--
作者:
A. Szeri;L. Leal

文献摘要

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Recent studies of the nonlinear dynamics of deformable particles suspended in fluid flows have revealed a rich geometric structure. However, an analytic expression of the flow characteristic of principal interest in the dynamics of polymer solutions, namely the stretching power of the flow over deformable particles, has remained elusive when the history of particle orientations is complicated. This is the case, for example, when the orientation dynamics of particles is characterized by an unsteady attractor. This dynamical behavior is considered in some detail, both in steady and in time-periodic external flows.Strong flow criteria are developed by consideration of the statistical distribution of orientations in time on the relevant unsteady attractor.