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Poiseuille Flow of Rarefied Gases Between Concentric Cylinders

[+] Author Affiliations
Peyman Taheri

Simon Fraser University, Surrey, BC, Canada

Henning Struchtrup

University of Victoria, Victoria, BC, Canada

Paper No. ICNMM2011-58200, pp. 377-388; 12 pages
doi:10.1115/ICNMM2011-58200
From:
  • ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels
  • ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels, Volume 1
  • Edmonton, Alberta, Canada, June 19–22, 2011
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4463-2
  • Copyright © 2011 by ASME

abstract

Miniaturized devices are used currently in many engineering applications. Nonetheless, despite much progress in their fabrication, the fundamental understanding of fluid flow and heat transfer on the microscale is still not satisfactory. In this study, rarefaction effects in pressure-driven gas flows in annular microchannels are investigated. The influence of Knudsen number, aspect ratio of the annulus, and surface accommodation coefficient on wall friction, mass flow rate, and thermal energy flow rate is discussed. For this, the linearized Navier–Stokes–Fourier (NSF) and regularized 13-moment (R13) equations are solved analytically. The results are compared to available solutions of the Boltzmann equation to highlight the advantages of the R13 over the NSF equations in describing rarefaction effects in the process. Moreover, in order to improve the accuracy of the NSF system a second-order slip boundary condition is proposed.

Copyright © 2011 by ASME

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