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Wetting boundaries for a ternary high-density-ratio lattice Boltzmann method

Neeru Bala, Marianna Pepona, Ilya Karlin, Halim Kusumaatmaja, and Ciro Semprebon
Phys. Rev. E 100, 013308 – Published 24 July 2019
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Abstract

We extend a recently proposed ternary free-energy lattice Boltzmann model with high density contrast [Phys. Rev. Lett. 120, 234501 (2018)] by incorporating wetting boundaries at solid walls. The approaches are based on forcing and geometric schemes, with implementations optimized for ternary (and, more generally, higher-order multicomponent) models. Advantages and disadvantages of each method are addressed by performing both static and dynamic tests, including the capillary filling dynamics of a liquid displacing the gas phase and the self-propelled motion of a train of drops. Furthermore, we measure dynamic angles and show that the slip length critically depends on the equilibrium value of the contact angles and whether it belongs to liquid-liquid or liquid-gas interfaces. These results validate the model capabilities of simulating complex ternary fluid dynamic problems near solid boundaries, for example, drop impact solid substrates covered by a lubricant layer.

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  • Received 14 April 2019

DOI:https://doi.org/10.1103/PhysRevE.100.013308

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Neeru Bala1, Marianna Pepona2, Ilya Karlin3,*, Halim Kusumaatmaja2,†, and Ciro Semprebon1,‡

  • 1Department of Mathematics, Physics and Electrical Engineering, Northumbria University, Newcastle upon Tyne NE1 8ST, United Kingdom
  • 2Department of Physics, Durham University, Durham DH1 3LE, United Kingdom
  • 3Department of Mechanical and Process Engineering, ETH Zurich, CH-8092 Zurich, Switzerland

  • *karlin@lav.mavt.ethz.ch
  • halim.kusumaatmaja@durham.ac.uk
  • ciro.semprebon@northumbria.ac.uk

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Issue

Vol. 100, Iss. 1 — July 2019

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