
|  | Труды Института механики им. Р.Р. Мавлютова Электронный научный журнал | Electronic Scientific Journal Proceedings of the Mavlyutov Institute of Mechanics | ISSN 2542–0380 DOI 10.21662 | 
Within the framework of the model of interpenetrating continuums, the problem of gravitational convection of a dispersed suspension in a closed two-dimensional vessel is considered. On the example of the problem of gravitational settling (emersion) of a heavy (light) spherical particle in the harmonic velocity field of a viscous carrier phase, the influence of non-stationary and ”historical“ forces on the particle motion is investigated. A hydrodynamic model of gravitational convection of suspensions and aerosols is developed, which takes into account non-stationary forces in the interphase momentum exchange. A range of parameters, in which the description of mesoscale motions in a settling (floating) suspension is impossible without taking into account non-stationary and historical forces, is determined.
interphase interaction,
 two-phase medium,
 particles,
 Stokes force,
 Basset–Boussinesq force,
 force of attached masses