Beyond the Navier-de Gennes Paradigm: Slip Inhibition on Ideal Substrates

ORAL

Abstract

Hydrodynamic slip of a liquid at a solid surface represents a fundamental phenomenon in fluid dynamics that governs liquid transport at small scales. For polymeric liquids, de Gennes predicted that the Navier boundary condition together with the theory of polymer dynamics imply extraordinarily large interfacial slip for entangled polymer melts on ideal surfaces; this prediction was confirmed using dewetting experiments on ultra-smooth, low-energy substrates. Here, we use capillary leveling of polymeric films on these same substrates. Measurement of the slip length from a robust one-parameter fit to a lubrication model is achieved. At the lower shear rates involved in leveling experiments, these substrates can no longer be considered ideal. The data is consistent with physical adsorption of polymer chains at the solid/liquid interface. We extend the Navier-de Gennes description using one additional parameter, namely the density of physically adsorbed chains per unit surface. The resulting model is found to be in excellent agreement with the experimental observations.

*DFG grant BA3406/2; NSERC (Canada); Global Station for Soft Matter, Hokkaido University; Joliot ESPCI Paris Chair and Total-ESPCI Paris Chair; LabEX ENS-ICFP, ANR-10-LABX-0010/ANR-10-DEX-0001-02 PSL.

Presenters

  • Joshua McGraw

    • Ecole Normale Superieure

Authors

  • Joshua McGraw

    • Ecole Normale Superieure
  • Mark Ilton

    • Polymer Science & Engineering Department, University of Massachusetts Amherst
    • University of Massachusetts Amherst
    • Univ of Mass - Amherst
  • Thomas Salez

    • LOMA, University of Bordeaux
  • Paul Fowler

    • Physics, McMaster University
  • Marco Rivetti

    • Max Planck Institute for Dynamics and Self-Organization
  • Mohammed Aly

    • Ecole Normale Superieure
  • Michael Benzaquen

    • ESPCI
  • Elie Raphael

    • Laboratoire de Physico-Chimie Theorique Gulliver, ESPCI Paris
    • ESPCI
    • Laboratoire de Physico-Chimie Théorique Gulliver, ESPCI Paris
    • Gulliver, UMR CNRS 7083, ESPCI
  • Kari Dalnoki-Veress

    • Physics and Astronomy, McMaster University
    • Physics, McMaster University
    • Department of Physics and Astronomy, McMaster University
    • 1280 Main Street W, McMaster Univ
    • Physics & Astronomy, McMaster Univ
    • Physics & Astronomy, McMaster University
    • McMaster University
    • McMaster Univ
  • Oliver Baeumchen

    • Max Planck Institute for Dynamics and Self-Organization
    • Max Planck Institute for Dynamics and Self-Organization (MPIDS)
    • Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization