Riser vibrations, induced by ocean currents and waves, can amplify the effect of sphere rotation on its dynamic response, thereby influencing ore transportation within the riser. This study employs direct numerical simulation to model the motion of a single solid sphere in a laterally vibrating riser, incorporating collisions between the sphere and the riser through hard-sphere collision model. Additionally, the long-distance movement of the single sphere within the laterally vibrating riser is simulated based on moving computational domain and overset mesh. The research primarily focuses on how rotation affects the sphere's dynamics in a laterally vibrating riser across varying frequencies, so as to determine whether rotation can be neglected during investigation. Results reveal that as the vibration frequency increases, the sphere's rotational velocity rises, while its influence on trajectory pattern diminishes. At low frequencies, Magnus force induced by rotation enhances the radial migration of the sphere, promoting particle–wall collisions. However, this effect weakens at higher frequencies. Nevertheless, ignorance of sphere rotation underestimates amplitudes of both horizontal and vertical velocities, as well as the averages of the vertical velocity, which can be attributed to the absence of the additional lift force generated by rotation. The contribution of lift force arising from sphere rotation relative to hydrodynamic force increases with the enlargement of rotational velocity but decreases at higher relative velocities.
Wei et al. (2026) studied this question.