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AFM study of hydrodynamics in boundary layers around micro- and nanofibers

Julien Dupré de Baubigny1,2, Michael Benzaquen3,*, Caroline Mortagne1,2, Clémence Devailly4, Sébastien Kosgodagan Acharige4, Justine Laurent4, Audrey Steinberger4, Jean-Paul Salvetat5, Jean-Pierre Aimé6 et al.

Thierry Ondarçuhu1,†

  • 1Nanosciences Group, CEMES, CNRS, UPR 8011, 29 rue Jeanne Marvig, 31055 Toulouse cedex 4, France
  • 2Université de Toulouse, 29 rue Jeanne Marvig, 31055 Toulouse cedex 4, France
  • 3Laboratoire de Physico-Chimie Théorique, CNRS, UMR 7083 Gulliver, ESPCI ParisTech, PSL Research University, 10 rue Vauquelin, 75231 Paris cedex 5, France
  • 4Laboratoire de Physique, Université de Lyon, Ens de Lyon, Université Claude Bernard Lyon 1, CNRS, 69342 Lyon, France
  • 5CRPP, CNRS, UPR 8641, 115 avenue du Dr. Albert Schweitzer, 33600 Pessac, France
  • 6CBMN, CNRS, UMR 5248, 2 rue Escarpit, 33600 Pessac, France

  • *Present address: Capital Fund Management, 23 rue de l’Université, 75007 Paris, France.
  • †ondar@cemes.fr
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Phys. Rev. Fluids 1, 044104 – Published 22 August, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.044104

Abstract

The description of hydrodynamic interactions between a particle and the surrounding liquid, down to the nanometer scale, is of primary importance since confined liquids are ubiquitous in many natural and technological situations. In this paper we combine three nonconventional atomic force microscopes to study hydrodynamics around micro- and nanocylinders. These complementary methods allow the independent measurement of the added mass and friction terms over a large range of probe sizes, fluid viscosities, and solicitation conditions. A theoretical model based on an analytical description of the velocity field around the probe shows that the friction force depends on a unique parameter, the ratio of the probe radius to the thickness of the viscous boundary layer. We demonstrate that the whole range of experimental data can be gathered in a master curve, which is well reproduced by the model. This validates the use of these atomic force microscopy modes for a quantitative study of hydrodynamics and opens the way to the investigation of other sources of dissipation in simple and complex fluids down to the submicron scale.

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Phys. Rev. Fluids 1, 044104– Published 22 August, 2016
  • Received 29 February 2016

©2016 American Physical Society

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