Bending-filament model for the buckling and coiling instability of a viscous fluid rope.
Bending-filament model for the buckling and coiling instability of a viscous fluid rope.
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DOI：
10.1103/physreve.78.025302
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发表时间：
2008-02
期刊：
影响因子：
--
通讯作者：
S. Nagahiro;Y. Hayakawa
中科院分区：
文献类型：
--
作者：
S. Nagahiro;Y. Hayakawa
提出了一种简单的粘性“流体绳”在平面上下落时的屈曲和盘绕失稳模型。该模型将流体绳视为一维流动，只考虑轴向和共享粘性力。我们的模型成功地再现了几个没有可调参数的实验，比如Maleki[物理学家]在论文中报道的三种不同的卷曲机制的存在。[j].科学通报，2004(5)。我们的模型允许讨论非定常运动。从现象学上推导出了卷绕频率由减小到增大的临界落高度表达式。研究发现，只有在弱重力条件下，线圈-开卷过渡才表现出明显的滞后。
A simple model is proposed for the buckling and coiling instability of a viscous "fluid rope" falling on a plane. By regarding a fluid rope as a one-dimensional flow, this model accounts for only the axial and shared viscous forces. Our model successfully reproduces several experiments with no adjustable parameters, such as the existence of three distinct coiling regimes reported in the paper by Maleki [Phys. Rev. Lett. 93, 214502 (2004)]. Our model allows for the discussion of unsteady motion. An expression for the critical fall height at which the coiling frequency changes from a decrease to increase was phenomenologically derived. It was found that the coil-uncoil transition shows remarkable hysteresis only for weak gravity condition.