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Response function of a moving contact line

H. Perrin1,*, D. Belardinelli2,†, M. Sbragaglia2,‡, and B. Andreotti1,§

  • 1Laboratoire de Physique Statistique, UMR 8550 ENS-CNRS, Univ. Paris-Diderot, 24 rue Lhomond, 75005 Paris, France
  • 2Department of Physics and INFN, University of Rome “Tor Vergata,” Via della Ricerca Scientifica 1, 00133 Rome, Italy

  • *hugo.perrin@espci.fr
  • †belardinelli@roma2.infn.it
  • ‡sbragaglia@roma2.infn.it
  • §andreotti@lps.ens.fr
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Phys. Rev. Fluids 3, 044001 – Published 9 April, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.044001

Abstract

The hydrodynamics of a liquid-vapor interface in contact with a heterogeneous surface is largely impacted by the presence of defects at the smaller scales. Such defects introduce morphological disturbances on the contact line and ultimately determine the force exerted on the wedge of liquid in contact with the surface. From the mathematical point of view, defects introduce perturbation modes, whose space-time evolution is governed by the interfacial hydrodynamic equations of the contact line. In this paper we derive the response function of the contact line to such generic perturbations. The contact line response may be used to design simplified one-dimensional time-dependent models accounting for the complexity of interfacial flows coupled to nanoscale defects, yet offering a more tractable mathematical framework to explore contact line motion through a disordered energy landscape.

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Phys. Rev. Fluids 3, 044001– Published 9 April, 2018
  • Received 5 August 2017
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