4.7 Article

Interpolated lattice Boltzmann boundary conditions for surface reaction kinetics

Journal

PHYSICAL REVIEW E
Volume 82, Issue 6, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.82.066703

Keywords

-

Funding

  1. George and Orpha Gibson endowment
  2. National Science Foundation (NSF) [EAR-0941666, EAR-0510723, DMS-0724560]
  3. Division Of Earth Sciences
  4. Directorate For Geosciences [0941666] Funding Source: National Science Foundation

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This paper describes a method for implementing surface reaction kinetics in lattice Boltzmann simulations. The interpolated boundary conditions are capable of simulating surface reactions and dissolution at both stationary and moving solid-fluid and fluid-fluid interfaces. Results obtained with the boundary conditions are compared to analytical solutions for first-order and constant-flux kinetic surface reactions in a one-dimensional half space, as well as to the analytical solution for evaporation from the surface of a cylinder. Excellent agreement between analytical and simulated results is obtained for a wide range of diffusivities, lattice velocities, and surface reaction rates. The boundary model's ability to represent dissolution in binary fluid mixtures is demonstrated by modeling diffusion from a rising bubble and dissolution of a droplet near a flat plate.

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