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Oscillations of confined fibres transported in microchannels

Published online by Cambridge University Press:  27 November 2017

M. Nagel ,
P.-T. Brun ,
H. Berthet ,
A. Lindner ,
F. Gallaire Open the ORCID record for F. Gallaire [Opens in a new window]  and
C. Duprat Open the ORCID record for C. Duprat [Opens in a new window]
M. Nagel
Affiliation:
Laboratory of Fluid Mechanics and Instabilities, Ecole Polytechnique Federale de Lausanne, Lausanne 1015, Switzerland
P.-T. Brun
Affiliation:
Laboratory of Fluid Mechanics and Instabilities, Ecole Polytechnique Federale de Lausanne, Lausanne 1015, Switzerland Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
H. Berthet
Affiliation:
Physique et Mécanique des Milieux Hétérogènes, UMR 7636, ESPCI Paris, PSL Research University, Université Paris Diderot, Université Pierre et Marie Curie, 10, rue Vauquelin, Paris, France
A. Lindner
Affiliation:
Physique et Mécanique des Milieux Hétérogènes, UMR 7636, ESPCI Paris, PSL Research University, Université Paris Diderot, Université Pierre et Marie Curie, 10, rue Vauquelin, Paris, France
F. Gallaire
Affiliation:
Laboratory of Fluid Mechanics and Instabilities, Ecole Polytechnique Federale de Lausanne, Lausanne 1015, Switzerland
C. Duprat*
Affiliation:
Laboratoire LadHyX, Department of Mechanics, CNRS, Ecole polytechnique, 91128 Palaiseau, France
*
†Email address for correspondence: [email protected]
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Abstract

We investigate the trajectories of rigid fibres as they are transported in a pressure-driven flow, at low Reynolds number, in shallow Hele-Shaw cells. The transverse confinement and the resulting viscous friction on these elongated objects, as well as the lateral confinement (i.e. the presence of lateral walls), lead to complex fibre trajectories that we characterize with a combination of microfluidic experiments and simulations using modified Brinkman equations. We show that the transported fibre behaves as an oscillator for which we obtain and analyse a complete state diagram.

JFM classification

Low-Reynolds-number flows: Hele-Shaw flows Low-Reynolds-number flows: Low-Reynolds-number flows Micro-/Nano-fluid dynamics: Microfluidics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 835 , 25 January 2018 , pp. 444 - 470
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Copyright
© 2017 Cambridge University Press 

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