An approximate analytical solution and numerical simulation of the problem of motion of particles in a viscous fluid accounting for their hydrodynamic interaction in a constant or variable external force field was obtained. Quasi-stationary case the motion of particles at low Reynolds numbers in the presence of a flat wall, and when it is necessary to take into account unsteady terms in the Navier-Stokes equations, and nonlinear terms can be neglected, which corresponds to a rapidly varying external field are considered. The dynamics of the group of particles at different fluid flow are simulated.
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