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Physics of nanoscale immiscible fluid displacement

Gerald J. Wang1, Angelo Damone2,3, Francesco Benfenati3,4, Pietro Poesio3, Gian Paolo Beretta3, and Nicolas G. Hadjiconstantinou1

  • 1Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Lehrstuhl für Thermodynamik, Technische Universität Kaiserslautern, Erwin-Schrödinger-Straße 44, Germany
  • 3Department of Mechanical and Industrial Engineering, Università degli Studi di Brescia, Via Branze 38, 25123 Brescia, Italy
  • 4Dipartimento di Scienze Fisiche e Chimiche, Universitá degli Studi dell'Aquila, Via Vetoio (Coppito), 67100 L'Aquila, Italy

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Phys. Rev. Fluids 4, 124203 – Published 11 December, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.124203

Abstract

We investigate immiscible fluid displacement at small scales where slip lengths are on the order of characteristic system sizes, whereby Cox's law is not expected to be valid. Molecular dynamics simulations show that in this limit hydrodynamic bending becomes small and interfaces remain approximately spherical. In this case the only relevant angle for describing the interface shape is the dynamic microscopic angle at the fluid-solid interface. In our simulations, this angle is found to be described well by the molecular-kinetic theory originally proposed by Blake and Haynes. In general, this implies a different functional dependence between the contact angle (and related quantities) and the flow speed (or capillary number); this is demonstrated for the case of the force on the boundary for immiscible fluid displacement in a two-dimensional channel.

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Phys. Rev. Fluids 4, 124203– Published 11 December, 2019
  • Received 21 March 2019
Article part of CHORUS
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