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Effects of curvature on rarefied gas flows between rotating concentric cylinders
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10.1063/1.4807072
/content/aip/journal/pof2/25/5/10.1063/1.4807072
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4807072
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Contours of velocity calculated by for a typical concentric cylindrical Couette flow case.

Image of FIG. 2.
FIG. 2.

Comparison of DSMC tangential velocity profiles from and Ref. .

Image of FIG. 3.
FIG. 3.

Schematic of Couette flow between concentric rotating cylinders.

Image of FIG. 4.
FIG. 4.

Normalised half channel velocity profiles for planar Couette flow at various Knudsen numbers. Comparison of our power-law (PL) model results with the DSMC data, and the R26 and R13 moment equations.

Image of FIG. 5.
FIG. 5.

Variation of the non-dimensional velocity [* = /(ω )] with normalised radial distance for cylindrical Couette flow with σ = σ = σ. Comparison of PL model results against (a) DSMC data and (b) the classical slip solution (Yuhong ). The results are presented for and / = 5/3.

Image of FIG. 6.
FIG. 6.

Variation of the non-dimensional velocity [* = /(ω )] with normalised radial distance for cylindrical Couette flow with σ = σ = σ. Comparison of PL model results against (a) DSMC data and (b) the classical slip solution. The results are presented for and / = 5/3.

Image of FIG. 7.
FIG. 7.

Variation of the non-dimensional velocity [* = /(ω )] with normalised radial distance for cylindrical Couette flow with σ = σ = σ. Comparison of PL model results against (a) DSMC data and (b) the classical slip solution. The results are presented for and / = 5/3.

Image of FIG. 8.
FIG. 8.

Effect of the power-law (PL) exponent on the cylindrical Couette flow velocity profiles. Variation of the non-dimensional velocity [* = /(ω )] with normalised radial distance for σ = 1.0 and (a) σ = 1.0, (b) σ = 0.4, and (c) σ = 0.15, for and / = 5/3.

Image of FIG. 9.
FIG. 9.

Variation of the non-dimensional velocity [* = /(ω )] with normalised radial distance for cylindrical Couette flow with σ = σ = σ. Comparison of PL model results against DSMC data. The results are presented for and / = 6/5 (top left), 2 (top right), 3 (bottom left), and 5 (bottom right).

Image of FIG. 10.
FIG. 10.

Variation of the non-dimensional velocity [* = /(ω )] with normalised radial distance for cylindrical Couette flow with σ = σ = σ. Comparison of PL model results against DSMC data. The results are presented for and / = 6/5 (top left), 2 (top right), 3 (bottom left), and 5 (bottom right).

Image of FIG. 11.
FIG. 11.

Variation of the non-dimensional velocity [* = /(ω )] with normalised radial distance for cylindrical Couette flow with σ = σ = σ. Comparison of PL model results against DSMC data. The results are presented for and / = 6/5 (top left), 2 (top right), 3 (bottom left), and 5 (bottom right).

Image of FIG. 12.
FIG. 12.

Variation of normalised torque Γ exerted on the rotating inner cylinder with Knudsen number ( ). Our DSMC data are compared with both the slip and the PL models. The data are obtained for a specific case, where the accommodation coefficients of both the inner and outer cylinders are unity (σ = σ = 1) and / = 6/5 (top left), 5/3 (top right), 3 (bottom left), and 5 (bottom right).

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/content/aip/journal/pof2/25/5/10.1063/1.4807072
2013-05-23
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effects of curvature on rarefied gas flows between rotating concentric cylinders
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4807072
10.1063/1.4807072
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