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Momentum transfer in a turbulent, particle-laden Couette flow
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10.1063/1.4804391
/content/aip/journal/pof2/25/5/10.1063/1.4804391
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4804391

Figures

Image of FIG. 1.
FIG. 1.

Schematic of Couette cell geometry. Reference velocity is the difference in plate velocity and reference length is the distance between the plates.

Image of FIG. 2.
FIG. 2.

(a) Normalized mean particle concentration ⟨ ⟩ / versus , where is homogeneous bulk particle concentration. (b) Normalized mean particle feedback force, . Curves represent the following: unladen case (solid); small particle, (dashed); large particle, (dotted); and small particle with the rebound distance specified at = 1.25 (dashed-dotted). All particle-laden runs at ≈ 11 and ϕ = 0.25.

Image of FIG. 3.
FIG. 3.

(a) Fluctuating streamwise velocity profile for varying , holding ϕ = 0.25 constant. (b) Fluctuating streamwise velocity profile for varying ϕ, holding ≈ 11 constant. Fluctuating velocities normalized by plate velocity and wall-normal position normalized by channel height .

Image of FIG. 4.
FIG. 4.

(a) Fluctuating wall-normal velocity profile for varying , holding ϕ = 0.25 constant. (b) Fluctuating wall-normal velocity profile for varying ϕ, holding ≈ 11 constant. Fluctuating velocities normalized by plate velocity and wall-normal position normalized by channel height .

Image of FIG. 5.
FIG. 5.

(a) Profiles of total, viscous, turbulent, and particle stress for varying , holding ϕ = 0.25 constant. (b) Stress profiles for varying ϕ, holding ≈ 11 constant. Stress normalized by and wall-normal position normalized by channel height . The curves corresponding to different stress components are indicated on the figures.

Image of FIG. 6.
FIG. 6.

Instantaneous snapshots of normalized fluctuating streamwise velocity ′/ with particle locations (black dots) for the following cases: unladen (top row); Run 3: = 10.2, ϕ = 0.5 (middle row); and Run 4: = 1.2, ϕ = 0.25 (bottom row). Left column is at a location of = 20 and right column is at the channel midplane: / = 0.5. Note that particle sizes have been magnified and thus are not to scale.

Image of FIG. 7.
FIG. 7.

Energy spectra taken in the spanwise direction ( ) for all cases. Top row is spectra at a height of = 20 and bottom row is spectra at the channel midplane: / = 0.5. (a) and (c) Comparison of cases holding ϕ constant at 0.25. (b) and (d) Comparison of cases holding ≈ 11 and varying ϕ

Image of FIG. 8.
FIG. 8.

Probability density function of the fluctuating streamwise velocity, computed at the particle location, for all particles within range 10 ⩽ ⩽ 20. Two curves are shown: Run 3 ( = 10.2, ϕ = 0.5) and Run 4 ( = 1.2, ϕ = 0.25)

Image of FIG. 9.
FIG. 9.

(a) Joint probably distribution function of streamwise (′) and wall-normal (′) velocity fluctuations at a height of = 40. Panels (b)–(d) show difference between laden and unladen cases: (′, ′) = (′, ′) − (′, ′). (b) = 11.7, ϕ = 0.25 (Run 2); (c) = 10.2, ϕ = 0.5 (Run 3); and (d) = 1.2, ϕ = 0.25 (Run 4). Note that the ′ and ′ axes use different scales.

Image of FIG. 10.
FIG. 10.

Probability density function of the nondimensionalized swirling strength, |λ|/ . All laden cases are included as well as the unladen case. Vertical lines represent the point where the time scale of the swirling motion (inverse of |λ|) is equal to the acceleration time scale of particles from Run 3 (τ) and Run 4 (τ).

Tables

Generic image for table
Table I.

Particle-laden simulation parameters. Runs 1–3 maintain relatively constant and vary ϕ while Runs 4 and 5 vary at a constant ϕ. The particle Stokes number based on wall units, , and the mean particle Reynolds number, ⟨ ⟩, are included as well for reference. Also indicated are the curve types used for each case in all subsequent plots.

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/content/aip/journal/pof2/25/5/10.1063/1.4804391
2013-05-14
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Momentum transfer in a turbulent, particle-laden Couette flow
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4804391
10.1063/1.4804391
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