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Diffusion model for Knudsen-type compressor composed of periodic arrays of circular cylinders
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10.1063/1.3500686
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Affiliations:
1 Organization of Advanced Science and Technology, Kobe University, Kobe 657-8501, Japan
a) Electronic mail: taguchi@mech.kobe-u.ac.jp.
Phys. Fluids 22, 102001 (2010)
/content/aip/journal/pof2/22/10/10.1063/1.3500686
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/10/10.1063/1.3500686

## Figures

FIG. 1.

A rarefied gas flow past a square array of parallel circular cylinders. describes the overall distribution of the cylinder temperatures and each cylinder temperature is indicated by •.

FIG. 2.

A unit cell in the plane.

FIG. 3.

A square array of circular cylinders in contact with a half space. describes the overall distribution of the cylinder temperatures and each cylinder temperature is indicated by •.

FIG. 4.

The mass-flow rates and for , 0.25, and 0.3. The dashed-dotted line , solid line , and dashed line indicate the results obtained from the asymptotic expressions given in Refs. 39 and 40.

FIG. 5.

An example of Kayashima’s device composed of square arrays of circular cylinders and gaps. See the caption of Fig. 1.

FIG. 6.

Kayashima’s device in two different situations. In case (A), the right end is closed by a wall with temperature , whereas in case (B), both ends are open.

FIG. 7.

vs in case (A) for . (a) , , , and , 0.2, 0.5, 1, 2, and 5. (b) , , , and , 0.25, and 0.3. (c) , , , and , 2, 3, 4, and 5. (d) , , , and , 0.3, 0.4, 0.5, 0.6, 0.7, and 0.8.

FIG. 8.

vs in case (A) for , , and . (a) , and , 0.2, 0.5, 1, 2, 3, 4, 5, and 6. (b) , and , 0.25, and 0.3.

FIG. 9.

vs in case (A) for , , and . (a) , and , 0.2, 0.5, 1, 2, 3, and 4. (b) , and , 0.25, and 0.3.

FIG. 10.

vs in case (A) for various and for and 0.3 ( and ). (a) , (b) . The solid line indicates the result for and the dashed-dotted line that for .

FIG. 11.

vs in case (B) for various (, , , and ). (a) , (b) , (c) , and (d) .

FIG. 12.

Polar coordinate system.

FIG. 13.

The domain of integration. The domain of integration for the area integral, say , is the region occupied by the gas visible from and that for the line integral, say , is the surfaces of the cylinders visible from .

FIG. 14.

Grid system consisting of two subgrids I and II. Subgrid I is a rectangular grid system in the staircaselike domain ABCDEFGHA and subgrid II is a polar grid system in the domain .

## Tables

Table I.

Transport coefficients and for , 0.25, and 0.3. See the Appendix for the meaning of the values in the parentheses.

Table II.

Dimensionless mass-flow rate corresponding to Fig. 11.

/content/aip/journal/pof2/22/10/10.1063/1.3500686
2010-10-27
2014-04-24

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