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On the existence and multiplicity of one-dimensional solid particle attractors in time-dependent Rayleigh-Bénard convection
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10.1063/1.4773001
/content/aip/journal/chaos/23/1/10.1063/1.4773001
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/1/10.1063/1.4773001

Figures

Image of FIG. 1.
FIG. 1.

The annular domain, a region having cylindrical symmetry with a cooled top wall, a heated bottom boundary, an inner adiabatic wall (radius a), an outer adiabatic wall (radius b), and depth L.

Image of FIG. 2.
FIG. 2.

Projection of spatial particle distribution in the xy plane (liquid bridge of NaNO3, Pr = 8, A = 0.34, Ma = 20 600): (a) η = 1 × 10−5 (snapshot of PAS at t = τPAS ≅ 2 × 10−1); b) η = 1 × 10−6 at t = 50 × τPAS where τPAS≅ 2 × 10−1 is the nondimensional time required for PAS formation in (a) (in this case no PAS is formed, the same behavior occurs for η = 0).

Image of FIG. 3.
FIG. 3.

3D Snapshot of particle distribution for Pr = 1 and Ra = 3.5 × 104 in an annulus with internal and external radii a = L and b = 5L (L being the axial extension of the system) in the case of no particle inertia considered (η = 0, Niter = 107).

Image of FIG. 4.
FIG. 4.

Snapshot of traveling-wave state of RB convection for Pr = 1, and Ra = 3.5 × 104 (temperature distribution for z = 0.5 and related thermofluid-dynamic field in a meridian section).

Image of FIG. 5.
FIG. 5.

Snapshots of PAS for different values of the inertia parameter (nondimensional time= 2 × τwave where τwave = 2π/Ω, corresponding to Niter ≅ 2.3 × 106): a) η = 1 × 10−5 (no PAS), b) η ≅ 10−4, c) η = 8.5 × 10−5, d) η ≅ 7 × 10−5, e) η ≅ 7.1 × 10−5, f) η ≅ 7.2 × 10−5.

Image of FIG. 6.
FIG. 6.

PAS lines and isosurfaces of fluid (local) angular velocity for Θfluid ≅ 5.4 (PAS lines stay attached to the isosurfaces of fluid local angular velocity where Θfluid = Ω as predicted by the so-called phase–locking theory).

Tables

Generic image for table
Table I.

Comparison with the results of Melnikov et al. 36

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/content/aip/journal/chaos/23/1/10.1063/1.4773001
2013-01-09
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: On the existence and multiplicity of one-dimensional solid particle attractors in time-dependent Rayleigh-Bénard convection
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/1/10.1063/1.4773001
10.1063/1.4773001
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