Viscous flow model for particle trajectories and deposition efficiency on a single rectangular fibre in an electric field

The trajectories and deposition efficiency of aerosol particles on a single rectangular fibre are studied in this paper. It is assumed that the particles are electrically charged and an external electric field is applied. A conductive, infinitely long fibre can be rotated by some angle with respect to the air flow. A single aerosol particle moves under the influence of the inertial, air drag and electrical forces. The air flow distribution is determined by solving the Navier-Stokes equation assuming laminar flow. The vorticity-stream function approximation is used and solved by means of the finite element method. Results of numerical simulation for the particle trajectories and deposition efficiency are shown for different Reynolds, Stokes and Coulomb numbers.