The deposition of particles on vertical walls

A theoretical model for particle deposition on vertical walls is proposed. The model shows that the particle deposition massflux depends on the dimensionless particle relaxion time tP+, a dimensionless group Ei representing Brownian motion and the dimensionless group Mi representing electrostatistical forces, as well as a new dimensionless group gv/μ3 and the tube Reynolds number. The model represents experimental data on particle deposition very well, and shows how variations in gv/μ3τ can reproduce variations in deposition rates similar to those reported in the literature. Outside the Brownian diffusion regime the particle deposition is shown to be controlled by a complex interaction between turbulent migration, dispersion and transversal lift forces.