Mechanism of anomalous sinking of an intruder in a granular packing close to incipient fluidization

Takuya Tsuji, Alexander Penn, Taisuke Hattori, Klaas P. Pruessmann, Christoph R. Muller, Jun Oshitani, Kimiaki Washino, and Toshitsugu Tanaka

Objects released into a granular packing close to incipient fluidization may
float or sink depending on their density. Contrary to intuition, Oshitani et al.
[Phys. Rev. Lett. 116, 068001 (2016)] reported that under certain conditions, a lighter
sphere can sink further and slower than a heavier one. While this phenomenon has been
attributed to a local fluidization around the sinking sphere, its physical mechanisms have
not yet been understood. Here, we studied this intriguing phenomenon using both magnetic
resonance imaging and discrete particle simulation. Our findings suggest that local fluidization
around the sinking sphere and the formation and detachment of gas bubbles play
a critical role in driving this anomaly. An analysis of forces acting on the intruder revealed
that the upward-directed fluid force acting on a sphere is almost fully counterbalanced
by the sum of the net contact forces and the gravitational force acting downward, when
the sphere density is close to the bulk density of the granular packing (ρsphere/ρbulk ≈ 1).
At the time when bubbles detach from the sphere, the gas pressure gradient experienced
by the sphere is slightly attenuated and the sphere is pushed downward by the particle
cap located on top of the sphere. Because the deviations from the force equilibrium are
small, the sphere sinks slowly. Even after the sphere has reached its final stable depth, local
fluidization in combination with bubble formation remains in the proximity of the sphere.

Physical Review Fluids

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