Oscillatory axial banding of particles suspended in a rotating fluid

Seiden, Gabriel; Lipson, S. G.; Franklin, Joel

doi:10.1103/physreve.69.015301

Cited by 16 publications

(25 citation statements)

References 5 publications

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“…waves propagating in opposite directions [13]. In dilute rotating suspensions of granulates, hydrodynamic effects may produce traveling waves of regions of accumulated grains [29][30][31].…”

Section: Traveling Rolls and Stripesmentioning

confidence: 99%

Convection and segregation in a flat rotating sandbox

Rietz

Stannarius

2012

New J. Phys.

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Abstract.A flat box, almost completely filled with a mixture of granulate, is rotated slowly about its horizontal central axis. In this experiment, a regular vortex flow of the granular material is observed in the cell plane. These vortex structures have a superficial analogy to convection rolls in dissipative structures of ordinary liquids. Whereas in the latter, the origin of the convection can often be attributed to gradients e.g. of densities or surface tensions, there is no trivial explanation at present for the convection of the granulate in the rotating container. Despite the simplicity of the experiment, the underlying mechanisms for convection and segregation are difficult to extract. Here, we present a comprehensive experimental study of the patterns under various experimental conditions and propose a mechanism for the convection.

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Section: Traveling Rolls and Stripesmentioning

confidence: 99%

Convection and segregation in a flat rotating sandbox

Rietz

Stannarius

2012

New J. Phys.

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“…Theoretical arguments and calculations [12][13][14]17,18,22,23 have been made to explain the observed flow patterns, but they made different assumptions and predictions. A generally accepted theoretical framework for the rotating suspension is yet to be obtained.…”

Section: Introductionmentioning

confidence: 98%

Pattern formation in a rotating suspension of non-Brownian buoyant particles

et al. 2008

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This study examines the concentration and velocity patterns observed in a horizontal rotating cylinder completely filled with a monodisperse suspension of non-Brownian buoyant particles. The unique patterns or phases are mapped by varying both the rotation rate and the solvent viscosity. Individual phases are identified using both frontal ͑-z plane͒ and axial ͑r-plane͒ views. Phase boundaries are compared to those obtained recently for suspensions of nonbuoyant particles. Expressing the boundaries in terms of dimensionless parameters unifies the data for several samples at low rotation rates. When centrifugal force dominates, the behavior becomes quite different from previous studies.

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“…This pattern formation has been analyzed both theoretically and experimentally by Seiden et al [9][10][11], who explained the phenomenon as arising from the excitation of inertial waves in the regularly rotating fluid by the disturbance by the particles. The particle bands form due to the tendency of particles sedimenting in Stokes flow to attract one another into groups, thus creating a sink that draws in additional particles and causes further clustering.…”

Section: Introductionmentioning

confidence: 99%

“…Observations show that within a short time the granular particles accumulate into periodically spaced bands along the tube, with a characteristic periodic length approximately twice the diameter D of the tube. The observations indicate that the ends of the tube are situated either at the center of a band or halfway between two bands; as the length of the tube L is changed, the period adjusts itself around the characteristic period so that the length is equal to an integral number of half periods [1][2][3][4][5][6][7][8][9][10][11]. Figure 1 shows snapshots of stationary patterns observed when the tube length, L, is twice the characteristic periodic length, .…”

Section: Introductionmentioning

confidence: 99%

Banding oscillations of non-Brownian particles in a rotating fluid

Schwartz

Lipson

2013

New J. Phys.

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When non-Brownian particles are suspended in a fluid filling a cylindrical tube rotating about a horizontal axis, axially dependent patterns of particle density develop. In many cases, equally spaced axial bands are observed. In this work, we attempt to solve the problem of oscillations between two different banding configurations. Previous work has shown that inertial modes in the fluid are continuously excited by the particles and are responsible for the banding. We derived a one-dimensional linearized model describing the fluid-particle interaction as the source of the oscillatory phenomenon. The model invokes a mechanism of negative feedback between the wave and particle fields, which was modeled in previous work using computer simulations of multiple particles suspended in a moving fluid. It leads to the prediction of the dependence of the temporal period of the oscillations on the particle density and the fluid angular rotation frequency. These predictions were confirmed experimentally.

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Oscillatory axial banding of particles suspended in a rotating fluid

Cited by 16 publications

References 5 publications

Convection and segregation in a flat rotating sandbox

Convection and segregation in a flat rotating sandbox

Pattern formation in a rotating suspension of non-Brownian buoyant particles

Banding oscillations of non-Brownian particles in a rotating fluid

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