Transitional Dynamics of Freely Falling Discs
Résumé
The transitional regimes of freely falling discs are investigated by direct numerical simulation of the fluid-solid interaction. The discs are assumed to be homogeneous and infinitely thin. The regimes depend on two independent parameters, the Galileo number expressing the ratio between effects of gravity and viscosity and the non-dimensionalized mass characterizing the inertia of the disc. The paper completes a recently published comprehensive parametric study in this two-parameter space by providing details on several most relevant transitional states. The dynamics of the trajectories and the effect of variable body inertia are illustrated.