×

On Knudsen flows within thin tubes. (English) Zbl 0629.76079

The dynamics of a test particle in an infinite tube is investigated. It is proven that the evolution tends to that of a diffusion process as the radius of the tube decreases to zero.

MSC:

76N15 Gas dynamics (general theory)
76N20 Boundary-layer theory for compressible fluids and gas dynamics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] P. Clausing,Ann. Phys. 7:489 (1930).
[2] G. Armand,Le Vide 125:408 (1966).
[3] R. Gorenflo, M. G. Pacco, B. M. U. Scherzer,Zeit. angew. Phys. 22:500 (1967).
[4] C. Willrich, ?Monte-Carlo-Simulation der Anlaufströmung eines Knudsen-Gases unter Berücksichtigung der Wandhaftzeit?, Diploma thesis, University of Heidelberg (1980).
[5] D. C. Pack and K. Yamamoto,Progress in Astronautics and Aeronautics, Rarefied Gas Dynamics, J. L. Potter, ed., vol.51 (AIAA, New York, 1977), 247.
[6] D. C. Pack and K. Yamamoto, 11th Symposion on Rarefied Gas Dynamics, Cannes 1978, R. Campargue (ed.), Vol. 1, 207, Paris (1979).
[7] H. Babovsky,Transp. Theory Stat. Phys. 13:455 (1984). · Zbl 0571.76070
[8] P. Billingsley,Convergence of Probability Measures (John Wiley & Sons, New York, 1968). · Zbl 0172.21201
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.