Nonaxisymmetric instability of shear-banded Taylor-Couette flow.

Nonaxisymmetric instability of shear-banded Taylor-Couette flow.
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剪切带泰勒-库埃特流的非轴对称不稳定性。

DOI:
10.1103/physrevlett.108.088302
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发表时间:
2012
影响因子:
8.6
通讯作者:
A. Morozov
A. Morozov
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Alexandre Nicolas;A. Morozov

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最近的实验表明,剪切带流的半稀蠕虫状胶束在泰勒-库埃特几何形状表现出流动不稳定性的泰勒涡的形式。在这里,我们进行非轴对称的线性稳定性分析的扩散的Johnson-Segalman模型的剪切带,并表明,这种不稳定性的性质取决于所施加的剪切速率。对于实验相关参数,我们发现,在应力平台的开始不稳定性是由带之间的界面,而大部分的应力平台是由高剪切速率带的体不稳定性。我们的工作显着改变了最近提出的剪切带流的轴对称分析的基础上的稳定性图。
Recent experiments show that shear-banded flows of semidilute wormlike micelles in Taylor-Couette geometry exhibit a flow instability in the form of Taylor-like vortices. Here we perform the nonaxisymmetric linear stability analysis of the diffusive Johnson-Segalman model of shear banding and show that the nature of this instability depends on the applied shear rate. For the experimentally relevant parameters, we find that at the beginning of the stress plateau the instability is driven by the interface between the bands, while most of the stress plateau is occupied by the bulk instability of the high-shear-rate band. Our work significantly alters the recently proposed stability diagram of shear-banded flows based on axisymmetric analysis.
DOI: 10.1103/physrevlett.104.198303
发表时间: 2009-12
影响因子: 8.6
作者:
S. Fielding
通讯作者: S. Fielding