Fiber Buckling in Confined Viscous Flows: An Absolute Instability Described by the Linear Ginzburg-Landau Equation,Physical Review Letters

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Fiber Buckling in Confined Viscous Flows: An Absolute Instability Described by the Linear Ginzburg-Landau Equation
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-12 , DOI: 10.1103/physrevlett.129.074504
Jean Cappello ₁ , Olivia du Roure ₁ , François Gallaire ₂ , Camille Duprat ₃ , Anke Lindner ₁

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We explore the dynamics of a flexible fiber transported by a viscous flow in a Hele-Shaw cell of height comparable to the fiber height. We show that long fibers aligned with the flow experience a buckling instability. Competition between viscous and elastic forces leads to the deformation of the fiber into a wavy shape convolved by a Bell-shaped envelope. We characterize the wavelength and phase velocity of the deformation as well as the growth and spreading of the envelope. Our study of the spatiotemporal evolution of the deformation reveals a linear and absolute instability arising from a local mechanism well described by the Ginzburg-Landau equation.

中文翻译：

受限粘性流中的纤维屈曲：由线性 Ginzburg-Landau 方程描述的绝对不稳定性

我们探索了在高度与纤维高度相当的 Hele-Shaw 单元中由粘性流传输的柔性纤维的动力学。我们表明，与流动对齐的长纤维会出现屈曲不稳定性。粘性力和弹性力之间的竞争导致纤维变形为由钟形包络卷积的波浪形。我们描述了变形的波长和相速度以及包络的生长和扩展。我们对变形时空演化的研究揭示了由 Ginzburg-Landau 方程很好地描述的局部机制引起的线性和绝对不稳定性。

更新日期：2022-08-12

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