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Database for flows of binary gas mixtures through a plane microchannel. (English) Zbl 1154.76048

Summary: We consider a binary mixture of rarefied gases between two parallel plates. The Poiseuille flow, thermal transpiration (flow caused by a temperature gradient of the plates) and concentration-driven flow (flow caused by a gradient of concentration of the component species) are analyzed on the basis of the linearized model Boltzmann equation with the diffuse reflection boundary condition. The analyses are first performed for mixtures of virtual gases composed of the hard-sphere or Maxwell molecules, and the results are compared with those of the original Boltzmann equation. Then, the analyses for noble gases (He-Ne, He-Ar and Ne-Ar) are performed assuming more realistic molecular models (the inverse power-law potential and Lennard-Jones 12,6 models). By use of the results, flux databases covering the entire ranges of the Knudsen number and of the concentration and a wide range of temperature are constructed. The databases are prepared for the use in the fluid-dynamic model for mixtures in a stationary nonisothermal microchannel derived in [S. Takata, H. Sugimoto and S. Kosuge, ibid. 26, No. 2, 155–181 (2007; Zbl 1124.76048)], but can also be incorporated in the generalized Reynolds equation [S. Fukui and R. Kaneko, J. Tribol. 110, 253–262 (1988)] in the gas film lubrication theory. The databases constructed can be downloaded freely from Electronic Annex 2 in the online version of this article.

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)

Citations:

Zbl 1124.76048
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References:

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