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arXiv 1705.04034physics.flu-dyncond-mat.soft
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两障碍物间蠕动流中弹性尾流不稳定性

Elastic wake instabilities in a creeping flow between two obstacles

Atul Varshney, Victor Steinberg

摘要:

它示出的通道流动的稀聚合物溶液之间的两个广泛间隔的圆柱体阻碍流动是一个重要的范例的无界流的情况下,其中的通道壁位于足够远离的圆柱体。在两个宽间距的圆柱体之间的蠕变粘弹性通道流的不稳定性的定量表征揭示了两个弹性驱动的过渡,这是与时间反演和镜像对称性的破坏:霍普夫和前向分叉描述的两个序参量$\mbox{v}_{rms}$和$\barω$,分别。我们建议,减少障碍物之间的归一化距离导致崩溃的两个分叉成余维2点,许多非平衡系统的情况一般。然而,惊人的和意想不到的结果是通过在粘弹性流动中保持流线曲率处增加涡长来发现涡量增长的机制,这与众所周知的通过聚合物添加剂抑制牛顿流动中的涡量形成鲜明对比。

英文摘要:

It is shown that a channel flow of a dilute polymer solution between two widely spaced cylinders hindering the flow is an important paradigm of an unbounded flow in the case in which the channel wall is located sufficiently far from the cylinders. The quantitative characterization of instabilities in a creeping viscoelastic channel flow between two widely spaced cylinders reveals two elastically driven transitions, which are associated with the breaking of time-reversal and mirror symmetries: Hopf and forward bifurcations described by two order parameters $\mbox{v}_{rms}$ and $\barω$, respectively. We suggest that a decrease of the normalized distance between the obstacles leads to a collapse of the two bifurcations into a codimension-2 point, a situation general for many non-equilibrium systems. However, the striking and unexpected result is the discovery of a mechanism of the vorticity growth via an increase of a vortex length at the preserved streamline curvature in a viscoelastic flow, which is in sharp contrast to the well-known suppression of the vorticity in a Newtonian flow by polymer additives.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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