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Physics of Fluids / Volume 16 / Issue 9 / ARTICLES

Phys. Fluids 16, 3426 (2004); http://dx.doi.org/10.1063/1.1764700 (12 pages)

Variational approach to gas flows in microchannels

Carlo Cercignani, Maria Lampis, and Silvia Lorenzani

Dipartimento di Matematica, Politecnico di Milano, Milano, Italy 20133

(Received 17 February 2004; accepted 28 April 2004; published online 2 August 2004)

Gas flow rates in microchannels have been rigorously evaluated by means of a variational technique which applies to the integrodifferential form of the Boltzmann equation based on the Bhatnagar, Gross, and Krook model. The Maxwell scattering kernel has been used to describe the gas-wall interactions in the most general case of two surfaces with different accommodation coefficients.© 2004 American Institute of Physics.

© 2004 American Institute of Physics

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KEYWORDS and PACS

Keywords

Poiseuille flow, variational techniques, channel flow, boundary-value problems, Boltzmann equation, rarefied fluid dynamics, micromechanical devices

PACS

  • 47.45.-n

    Rarefied gas dynamics

  • 47.60.-i

    Flow phenomena in quasi-one-dimensional systems

  • 02.60.Lj

    Ordinary and partial differential equations; boundary value problems

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1764700

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    F. J. Alexander, A. L. Garcia, and B. J. Alder, "Direct simulation Monte Carlo for thin-film bearings," Phys. Fluids 6, 3854 (1994)PHFLE6000006000012003854000001.

    P. L. Bhatnagar, E. P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems," Phys. Rev. 94, 511 (1954).

    C. Cercignani and A. Daneri, "Flow of a rarefied gas between two parallel plates," J. Appl. Phys. 34, 3500 (1963)JAPIAU000034000012003500000001.

    C. Cercignani and C. D. Pagani, "Variational approach to boundary-value problems in kinetic theory," Phys. Fluids 9, 1167 (1966)PFLDAS000009000006001167000001.


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