Chaotic sedimentation of particle pairs in a vertical channel at low Reynolds number: Multiple states and routes to chaos

@article{Verjus2016ChaoticSO,
  title={Chaotic sedimentation of particle pairs in a vertical channel at low Reynolds number: Multiple states and routes to chaos},
  author={Romuald Verjus and Sylvain S. Guillou and Alexander B. Ezersky and J. R. Angilella},
  journal={Physics of Fluids},
  year={2016},
  volume={28},
  pages={123303}
}
The sedimentation of a pair of rigid circular particles in a two-dimensional vertical channel containing a Newtonian fluid is investigated numerically, for terminal particle Reynolds numbers (ReT) ranging from 1 to 10, and for a confinement ratio equal to 4. While it is widely admitted that sufficiently inertial pairs should sediment by performing a regular DKT oscillation (Drafting-Kissing-Tumbling), the present analysis shows in contrast that a chaotic regime can also exist for such particles… 

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References

SHOWING 1-10 OF 26 REFERENCES

Dynamics of particle sedimentation in a vertical channel: Period-doubling bifurcation and chaotic state

The dynamics and interaction of two circular cylinders settling in an infinitely long narrow channel (width equal to four times the cylinder diameter) is explained by direct computational analysis.

The behaviour of freely falling cylinders and cones in a viscous fluid

The terminal velocities, drag coefficients, and orientations of single cylinders falling in a large tank of viscous liquid have been determined for Reynolds numbers Re ranging from > 0·01 to 1000 to

Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid Part 1. Sedimentation

This paper reports the result of direct simulations of fluid–particle motions in two dimensions. We solve the initial value problem for the sedimentation of circular and elliptical particles in a

Navier-Stokes simulation with constraint forces: finite-difference method for particle-laden flows and complex geometries.

  • K. HöflerS. Schwarzer
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
This direct simulation technique fills a gap between simulations in the viscous regime and high-Reynolds-number modeling and combines sufficient computational accuracy with numerical efficiency and allows studies of several thousand, in principle arbitrarily shaped, extended and hydrodynamically interacting particles on regular work stations.

Collective drag and sedimentation: comparison of simulation and experiment in two and three dimensions

Abstract We simulate systems of particles immersed in fluid at Reynolds numbers on the particle scale of 0.1 to 20. Our simulation method is based on a finite differencing multi-grid Navier-Stokes

Nonlinear mechanics of fluidization of beds of spherical particles

Experiments on fluidization with water of spherical particles falling against gravity in columns of rectangular cross-section are described. All of them are dominated by inertial effects associated

The unsteady motion of solid bodies in creeping flows

In treating unsteady particle motions in creeping flows, a quasi-steady approximation is often used, which assumes that the particle's motion is so slow that it is composed of a series of steady

Simulations of granular bed erosion due to laminar shear flow near the critical Shields number

Direct numerical simulations of granular beds consisting of uniformly sized spherical particles being eroded by a shear flow of Newtonian liquid have been performed. The lattice-Boltzmann method has