Inertial Screening in Sedimentation
| dc.creator | Segre, P. N. | |
| dc.date | 2007-09-07 | |
| dc.date.accessioned | 2026-07-07T08:28:08Z | |
| dc.date.available | 2026-07-07T08:28:08Z | |
| dc.description | We use particle image velocimetry to measure the sedimentation dynamics of a semi-dilute suspension of non-Brownian spheres at Reynolds numbers, $0.001\le Re\le 2.3$, extending from the Stokes to the moderately inertial regime. We find that the onset of inertial corrections to Stokes sedimentation occurs when the inertial screening length $l=a/Re$ becomes similar to the Stokes sedimentation length $ξ_0$, at $Re_c= a/ξ_0\approx 0.05$. For $Re>Re_c$, inertial screening significantly reduces both the magnitude and spatial extent of the particle velocity fluctuations. A modified Hinch force balance model connects the fluctuation magnitudes $σ_V/V$ to the correlation sizes $ξ$. | |
| dc.description | 9 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0709.0995 | |
| dc.identifier | http://arxiv.org/abs/0709.0995 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137512 | |
| dc.subject | Fluid Dynamics | |
| dc.title | Inertial Screening in Sedimentation | |
| dc.type | text |