Migration of a granule in a rapidly oscillating inhomogeneous velocity field of a viscous fluid

Abstract

A closed system of equations for calculating the drift of an inertial heavy granule in an inhomogeneous velocity field of the carrier fluid is derived by the Krylov-Bogolyubov method of averaging over fast oscillations of velocity. Exact analytical solutions are presented and compared with the results of the numerical solution of the equations of granule motion. The influence of the granule inertia, acceleration of mass forces, and frequency of oscillations on the granule dynamics in an inhomogeneous oscillating velocity field of the fluid is studied.