Viscous flow model for charged particle trajectories around a single square fiber in an electric field

The trajectories and deposition efficiency of aerosol particles on a single rectangular fiber 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 fiber can be rotated by some angle with respect to the air Bow, A single aerosol particle moves under the influence of the inertial, air drag, and electrical forces. The air-Bow distribution is determined by solving the Navier-Stokes equation assuming the laminar Bow, 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.