Physics of nanoscale immiscible fluid displacement

Gerald J. Wang, Angelo Damone, Francesco Benfenati, Pietro Poesio, Gian Paolo Beretta, and Nicolas G. Hadjiconstantinou
Phys. Rev. Fluids 4, 124203 – Published 11 December 2019

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
2 More
  • Received 21 March 2019

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

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

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

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 4, Iss. 12 — December 2019

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Fluids

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×