Fiber buckling in confined viscous flows: an absolute instability described by the Ginzburg-Landau equation
arXiv:2110.10499 · doi:10.1103/PhysRevLett.129.074504
Abstract
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 spatio-temporal evolution of the deformation reveals a linear and absolute instability arising from a local mechanism well described by the Ginzburg-Landau equation.
References in corpus (11)
- Phonons in a one-dimensional microfluidic crystal
- Morphological transitions of elastic filaments in shear flow
- The sedimentation of flexible filaments
- Flexible filaments buckle into helicoidal shapes in strong compressional flows
- Wrinkling of microcapsules in shear flow
- Rotational dynamics of a soft filament: wrapping transition and propulsive forces
- Microfluidic In Situ Measurement of Poisson's Ratio of Hydrogels
- Transport of flexible fibers in confined micro-channels
- Buckling of a beam extruded into highly viscous fluid
- Oscillations of confined fibers transported in microchannels
- Controlling transport dynamics of confined asymmetric fibers