Three-dimensional (3-D) model of electric field and space charge in the barbed plate-to-plate precipitator

Numerical solution of the corona discharge problem based on mesh redefinition and test for a charge injection law

“…The algorithm based on FEM, MOC and mesh redefinition as described in the preceding sections has been applied to determine the solutions when using the injection law (6). Because of the stabilizing nature of the interplay between E and ρ , the use of (6) and opposite to the curvature of the harmonic field lines.…”

“…It is the reason why Kaptzov formulated his assumption stating that, for an applied voltage V appl above the threshold value V th of corona discharge, the electrical field at the injecting electrode remains unchanged and equal to its harmonic value at V th [1,3,4,7]. The simplest injection law compatible with the Kaptzov assumption and accounting for the observed phenomena is [2] : (6) with A taking high values. This relation holds at every point M of the injecting electrode where the field E(M) is greater than the threshold field E th for corona inception (ρ inj (M) = 0 when E(M) < E th ).…”

“…The boundary condition for ρ is given by the injection law analogous to (6), where A is now a non dimensional constant and A >> 1.…”

“…A few works for 3-D configurations [6][7][8] apply a generalized Kaptzov approximation by imposing a non zero charge density on the injecting electrode only in the region where the field exceeds the Peek value. Other ways of determining the charge density by considering the discharge phenomenon have also been considered [1].…”

Numerical Investigation of the Flow Profiles in the Electrically Enhanced Cyclone

“…9 The other method is to adjust the charge density at the discharge electrode until the calculated current at the collecting electrode matches the current value measured from the experiments. 20 V-I characteristics curves available from experiments of Lim et al 3 are used in this work to determine the charge density at the discharge electrode.…”