Lattice Boltzmann model for diffusion-controlled dissolution of solid structures in multicomponent liquids

Area of Science:

• Computational fluid dynamics
• Chemical engineering
• Materials science

Background:

• Dissolution of solids is critical in various industrial processes.
• Accurate modeling of dissolution, especially for complex geometries, remains a challenge.
• Existing models often struggle with arbitrary shapes and multi-component systems.

Purpose of the Study:

• To develop a versatile lattice Boltzmann model for simulating solid dissolution.
• To incorporate a multicomponent boundary condition for diffusion-controlled dissolution.
• To validate the model's accuracy and apply it to practical scenarios.

Main Methods:

• Development of a lattice Boltzmann model (LBM) for fluid flow and mass transport.
• Implementation of a multicomponent boundary condition to simulate fixed concentrations.
• Calculation of dissolution rates based on diffusion flux at the solid-liquid interface.
• Validation against analytical solutions for static fluid dissolution.
• Application to a cylinder dissolution in laminar flow.

Main Results:

• The lattice Boltzmann model successfully simulates diffusion-controlled dissolution.
• The model accurately predicts dissolution rates for arbitrary solid shapes.
• Validation confirmed the model's accuracy against analytical solutions.
• The model was effectively applied to a realistic scenario of cylinder dissolution in laminar flow.

Conclusions:

• The developed lattice Boltzmann model provides a robust tool for simulating solid dissolution.
• The multicomponent boundary condition is effective for diffusion-controlled processes.
• This model advances the understanding of dissolution phenomena in complex geometries and flow conditions.