Effect of an unsteady swirled turbulent flow on the motion of a single solid particle

An unsteady swirled turbulent flow between two rotating flat disks is modeled. The flow is directed along the radius toward the rotation axis. A quasi-steady character of the turbulent flow, caused by oscillations of the radial velocity at the entrance to the gap between the disks with a period close to the time of dynamic relaxation of the particle, is studied with the use of the known two-equation Wilcox’s $(k-\omega)$ model of turbulence. The influence of the Stokes number and the frequency and amplitude of oscillations of the carrier medium on the motion of single particles in the field of centrifugal and aerodynamic forces is considered.