Three-dimensional aspects of fluid flows in channels. I. Meniscus and thin film regimes

R. Ledesma-Aguilar, A. Hernández-Machado, I. Pagonabarraga

Research output: Contribution to journalArticlepeer-review


We study the forced displacement of a fluid-fluid interface in a three-dimensional channel formed by two parallel solid plates. Using a lattice-Boltzmann method, we study situations in which a slip velocity arises from diffusion effects near the contact line. The difference between the slip and channel velocities determines whether the interface advances as a meniscus or a thin film of fluid is left adhered to the plates. We find that this effect is controlled by the capillary and PEclet numbers. We estimate the crossover from a meniscus to a thin film and find good agreement with numerical results. The penetration regime is examined in the steady state. We find that the occupation fraction of the advancing finger relative to the channel thickness is controlled by the capillary number and the viscosity contrast between the fluids. For high viscosity contrast, lattice-Boltzmann results agree with previous results. For zero viscosity contrast, we observe remarkably narrow fingers. The shape of the finger is found to be universal.
Original languageEnglish
Article number102112
Pages (from-to)102112
Number of pages1
JournalPhysics of Fluids
Issue number10
Early online date31 Oct 2007
Publication statusPublished - 2007


  • Hele-Shaw cell
  • lattice-boltzmann
  • contact-line
  • binary-fluid
  • 2 dimensions
  • motion
  • displacement
  • simulations
  • ions
  • instability
  • penetration


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