Simulation of the Sedimentation of a Falling Oblate
| dc.creator | Fonseca, Frank | |
| dc.creator | Herrmann, Hans J. | |
| dc.date | 2003-01-29 | |
| dc.date.accessioned | 2026-07-25T22:31:07Z | |
| dc.description | We present a numerical investigation of the dynamics of one falling oblate ellipsoid particle in a viscous fluid, in three dimensions, using a constrained-force technique \cite{Kai}, \cite{Kaih} and \cite{Esa}. We study the dynamical behavior of the oblate for a typical downward motion and obtain the trajectory, velocity, and orientation of the particle. We analyze the dynamics of the oblate generated when the height of the container, the aspect-ratio, and the dynamical viscosity are changed. Three types of falling motions are established: steady-falling, periodic oscillations and chaotic oscillations. In the periodic regime we find a behavior similar to the case of falling flat strips reported in ref. \cite{Belmonte}. In the chaotic regime the trajectory of the oblate is characterized by a high sensitivity to tiny variations in the initial orientation. The Lyapunov exponent is $λ= 0.052 \pm 0.005$. A phase space comparing to the results of ref \cite{Nori}, is shown. | |
| dc.description | Submitted to PRE | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0301571 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0301571 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/89823 | |
| dc.subject | Condensed Matter | |
| dc.title | Simulation of the Sedimentation of a Falling Oblate | |
| dc.type | text |