Lattice Boltzmann simulations of liquid flilm drainage between smooth surfaces

TL;DR

This paper presents lattice Boltzmann simulations to study liquid film drainage between smooth surfaces, enabling detailed analysis of surface effects like wettability and roughness on hydrodynamic interactions.

Contribution

The study introduces a high-precision lattice Boltzmann simulation approach that accurately models sphere-liquid interactions and controls finite size effects with moderate computational resources.

Findings

Simulation results match theoretical predictions for flat surfaces.

Finite size effects can be minimized to below 1% error.

Moderate computing resources suffice for high-precision results.

Abstract

Exploring the hydrodynamic boundary of a surface by approaching a colloidal sphere and measuring the occurring drag force is a common experimental technique. However, numerous parameters like the wettability and surface roughness influence the result. In experiments these cannot be separated easily. For a deeper understanding of such surface effects a tool is required that predicts the influence of different surface properties. In this paper we present computer simulations based on the lattice Boltzmann method of a sphere submerged in a Newtonian liquid. We show that our method is able to reproduce the theoretical predictions for flat and noninteracting surfaces. In order to provide high precision simulation results the influence of finite size effects has to be well controlled. Therefore we study the influence of the required system size and resolution of the sphere and demonstrate that already moderate computing resources allow the error to be kept below 1%.