Settling dynamics of circular particles in vibrating tanks filled with a yield-stress liquid

The effect of sinusoidal vibration is numerically investigated on the settling dynamics a heavy particle circular shape immersed in viscoplastic fluid obeying regularized Bingham–Papanastasiou (BP) model. Having modeled solid as highly viscous Newtonian droplet, we have relied finite element method for solving equations motion and surrounding fluid. Our numerical results could closely recover theoretical critical Bingham number 0.0658 particles materials. Using very small threshold velocity to decide whether stuck or unstuck, it shown that can be excited fall BP liquid provided that, any given frequency, amplitude larger than minimum value. An increase size its density predicted reduce amplitude. In general, found an accelerating although non-monotonic. accelerative attributed enlarged yielded zone, while non-monotonic behavior sidewalls. At high ratios, phase lag arise between vessel. A comparison obtained with published experimental data spherical suggests flows, used good paradigm particles.