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Deformation and shape of flexible, microscale helices in viscous flow

Jonathan T. Pham, Alexander Morozov, Alfred J. Crosby, Anke Lindner, and Olivia du Roure
Phys. Rev. E 92, 011004(R) – Published 30 July 2015
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Abstract

We examine experimentally the deformation of flexible, microscale helical ribbons with nanoscale thickness subject to viscous flow in a microfluidic channel. Two aspects of flexible microhelices are quantified: the overall shape of the helix and the viscous frictional properties. The frictional coefficients determined by our experiments are consistent with calculated values in the context of resistive-force theory. The deformation of helices by viscous flow is well described by nonlinear finite extensibility. Under distributed loading, the pitch distribution is nonuniform, and from this we identify both linear and nonlinear behavior along the contour length of a single helix. Moreover, flexible helices are found to display reversible global to local helical transitions at a high flow rate.

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  • Received 24 March 2015

DOI:https://doi.org/10.1103/PhysRevE.92.011004

©2015 American Physical Society

Authors & Affiliations

Jonathan T. Pham1,2,*, Alexander Morozov3, Alfred J. Crosby1,†, Anke Lindner2,‡, and Olivia du Roure2,§

  • 1Polymer Science and Engineering Department, University of Massachusetts Amherst, 120 Governors Drive, Amherst, Massachusetts 01003, USA
  • 2PMMH-ESPCI-ParisTech, UMR 7636 CNRS-ESPCI, Université Pierre et Marie Curie, Université Paris Diderot, 10 rue Vauquelin, 75005 Paris, France
  • 3SUPA, School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, United Kingdom

  • *Present address: Max-Planck-Institut für Polymerforschung, Ackermannweg 10, 55128 Mainz, Germany.
  • crosby@mail.pse.umass.edu
  • anke.lindner@espci.fr
  • §olivia.duroure@espci.fr

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Issue

Vol. 92, Iss. 1 — July 2015

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