Lift Force Acting on a Heavy Solid in a Rotating Liquid-Filled Cavity with a Time-Varying Rotation Rate

Dynamics of two cylinders in a cavity filled with liquid under modulated rotation

“…The increase in the amplitude ε does not dramatically change the trajectories: Body 1 oscillates at a nearly constant distance h/δ while the body 2 oscillates radially. It should be noted that as ε increases, the body moves away from the wall to a distance of the order of 1-2 thicknesses of the boundary layer, which is consistent with the results of theoretical and experimental studies of an oscillating single body [12][13][14].…”

“…The cylinders take a position at a certain distance from the wall and continue to oscillate in the azimuthal direction (figure 2b). Similar dynamics was previously observed and studied in detail in experiments with a single cylinder [12][13][14]. The effect of repulsion is beyond the focus of this study.…”

“…This work is aimed at studying the dynamics of two heavy cylindrical bodies in a fluid-filled cylinder under modulated rotation. Our findings expand recent studies examining the effect of modulated rotation on the dynamics of a single cylindrical body [12][13][14]. Here, the apparent weight of the body is substituted by centrifugal force.…”

Dynamics of phase inclusion during rotational oscillations of simply connected annulus

“…However, there is a break of the symmetry of the phase trajectory during the motion in opposite directions (figure 5b). The mechanism of the latter effect has not yet been studied, but it should be noted that the loss of motion symmetry is also characteristic of solid inclusions oscillating near the container wall [12][13][14].…”