Two-Phase Turbulent Flow in the Separation Channel with an Oscillating Wall

In this research work, hydrodynamic peculiarities of turbulent gas-dispersed flow were considered. Analysis of the existing assumptions and simplifications for modeling the process of turbulent transfer of dispersed particles in turbulent two-phase flow was carried out within the theoretical study of the dispersed particle motion in gas flow. As a result of the analytical solution, the trajectories of dispersed particles have been obtained. The dimensionless criterion for determining geometrical features of particles' trajectories has been discovered. The dependences of the particle entrainment rate and overflow index on the diameter of dispersed particles were obtained. These dependencies are confirmed by the formulas determined previously by Brandt, Freund, and Hideman based on studying the vibration and acoustic impact on turbulent flow. The obtained results can also be applied to determine the Lagrangian frequency of turbulent pulsations by geometrical features of particles relative trajectories as Lissajous figures. Finally, the turbulent migration phenomenon for dispersed particles in gas-dispersed flow between vibrationally-weighted layers in the direction from the vibrating wall to the stationary one has been proved analytically.