Buckling transitions of an elastic filament in a viscous stagnation point flow
Buckling transitions of an elastic filament in a viscous stagnation point flow
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DOI：
10.1063/1.4771606
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发表时间：
2012-12-01
影响因子：
4.6
通讯作者：
Stone, Howard A.
中科院分区：
文献类型：
--
作者：
Guglielmini, Laura;Kushwaha, Amit;Stone, Howard A.
粘性应力和弹性应力的相互作用与许多涉及细长弹性纤维的流动问题有关。这些范围从微生物的游动到加工流程中纸浆纤维的运输，以及从纳米管和纳米地毯应用到半柔性聚合物行为。在某些应用中，细长纤维附着在壁上，在那里它们经历外部施加的流动。在本文中，我们专注于模型问题的壁装纤维在（压缩）拉伸流和流动诱导的弯曲和屈曲的纤维。使用相结合的稳定性分析和数值模拟（与后者的基础上的离散梁模型），我们表明，对于一个临界值之间的比率粘性和弹性力，细丝是容易弯曲和屈曲不稳定性在超临界分叉点。(C)2012年美国物理学会。[http：//dx.doi.org/10.1063/1.4771606]
The interplay of viscous and elastic stresses is relevant to a number of flow problems involving slender elastic fibers. These range from the swimming of microorganisms to the transport of pulp fibers in processing flow as well as from nanotube and nanocarpet applications to semi-flexible polymer behavior. In some applications, slender fibers are attached to walls where they experience externally applied flows. In this paper, we focus on the model problem of a wall mounted filament in a (compressive) extensional flow and characterize the flow-induced bending and buckling of the fiber. Using a combination of stability analysis and numerical simulations (with the latter based on a discretized beam model), we show that, for a critical value of the ratio between viscous and elastic forces, the filament is susceptible to bending and buckling instabilities at supercritical bifurcation points. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4771606]