Formulas have been derived for electric fields generated by charges arbitrarily distributed over the surface of cylindrical fibers with circular cross sections. The Monte Carlo method has been used to determine the efficiency of aerosol filtration for a cell model implying a three-dimensional character of the motion of particles being captured. The collection efficiency for weakly charged particles has been studied as depending on particle diameter and charge density distribution on fibers for several modes. It has been shown that there is a range of sizes of charged aerosol particles for which a nonuniform distribution of charges over fibers increases the filtration efficiency as compared with the uniform distribution in a filter, which is, on average, neutral. A model has been proposed for Hansen filters, and the dependences of penetration of particles on their diameters and charges generated on resin particles deposited onto wool fibers have been plotted.
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