Rising and Sinking in Resonance: Probing the critical role of rotational dynamics for buoyancy driven spheres

Abstract

We present experimental results for spherical particles rising and settling in a still fluid. Imposing a well-controlled center of mass offset enables us to vary the rotational dynamics selectively by introducing an intrinsic rotational timescale to the problem. Results are highly sensitive even to small degrees of offset, rendering this a practically relevant parameter by itself. We further find that for a certain ratio of the rotational to a vortex shedding timescale (capturing a Froude-type similarity) a resonance phenomenon sets in. Even though this is a rotational effect in origin, it also strongly affects translational oscillation frequency and amplitude, and most importantly the drag coefficient. This observation equally applies to both heavy and light spheres, albeit with slightly different characteristics for which we offer an explanation. Our findings highlight the need to consider rotational parameters when trying to understand and classify path properties of rising and settling spheres.

7 pages, 4 figures

References in corpus (4)

• Bubbly and Buoyant Particle-Laden Turbulent Flows
• Kinematics and dynamics of freely rising spheroids at high Reynolds numbers
• Settling and Clustering of Snow Particles in Atmospheric Turbulence
• Mass and moment of inertia govern the transition in the dynamics and wakes of freely rising and falling cylinders

Cited by in corpus (3)

• Numerical study on turbulence modulation of finite-size particles in plane-Couette flow
• Dynamics of freely rising spheres: the effect of moment of inertia
• Taylor Dispersion in Sedimentation of an Axisymmetric Brownian Particle with Centre Offset