ABSTRACT
In this work, we present a lattice-Boltzmann model for the simulation of complex dissolution phenomena. We design boundary conditions to impose a fixed concentration or a surface flux for use in multicomponent lattice-Boltzmann models. These conditions can be applied to simulate complex reactive flow phenomena, e.g., in porous media. By combining the boundary conditions with a volume-of-fluid description of solid structures, the application area of the presented model is extended toward complex dissolution phenomena. The boundary conditions and the dissolution model are validated using benchmark problems with analytical solutions. The agreement is good in all tested cases.
ABSTRACT
A lattice Boltzmann model for the dissolution of solid structures of arbitrary shape in multi-component liquids is developed. To model diffusion-controlled dissolution, a multicomponent boundary condition is presented to impose a fixed concentration on an arbitrarily located boundary. The dissolution rate of the solid is calculated based on the diffusion flow in the boundary layer. The model is validated using analytical solutions of simple dissolution problems in a static fluid, and is applied to the dissolution of a cylinder in a laminar flow.
