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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
/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

Image of FIG. 1.
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 •.

Image of FIG. 2.
FIG. 2.

A unit cell in the plane.

Image of FIG. 3.
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 •.

Image of FIG. 4.
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.

Image of FIG. 5.
FIG. 5.

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

Image of FIG. 6.
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.

Image of FIG. 7.
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.

Image of FIG. 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.

Image of FIG. 9.
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.

Image of FIG. 10.
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 .

Image of FIG. 11.
FIG. 11.

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

Image of FIG. 12.
FIG. 12.

Polar coordinate system.

Image of FIG. 13.
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 .

Image of FIG. 14.
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

Generic image for table
Table I.

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

Generic image for table
Table II.

Dimensionless mass-flow rate corresponding to Fig. 11.

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/content/aip/journal/pof2/22/10/10.1063/1.3500686
2010-10-27
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Diffusion model for Knudsen-type compressor composed of periodic arrays of circular cylinders
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/10/10.1063/1.3500686
10.1063/1.3500686
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