We study the interaction of two charged solid particles in a viscous fluid. It is assumed that the particles move either side-by-side or one after another along the same vertical line under the influence of the buoyancy/gravity force, Coulomb electrostatic force or its modification, and viscous drag force. The drag force consists of two components: the quasi-stationary Stokes drag force and Boussinesq-Basset drag force resulting from the unsteady motion. Solutions of the governing equations are

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... analysed analytically and numerically for the cases of perfect fluid and viscous fluid; the comparison of these two cases is presented. JPM, an open access journal velocity between the particles is ∼ 0.44 mm/s, and their vertical velocity attains ∼ 2.28 cm/s. Results obtained can be useful for the development of control methods of micro-and nano-particle dynamics in viscous fluids in application to technological processes and medicine [10] .