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Near-Wall Scaling of the Navier-Stokes Constitutive Relations for Accurate Micro Gas Flow Simulations

[+] Author Affiliations
D. A. Lockerby

University of Warwick, Coventry, UK

J. M. Reese

Strathclyde University, Glasgow, UK

Paper No. ICNMM2007-30061, pp. 357-363; 7 pages
  • ASME 2007 5th International Conference on Nanochannels, Microchannels, and Minichannels
  • ASME 5th International Conference on Nanochannels, Microchannels, and Minichannels
  • Puebla, Mexico, June 18–20, 2007
  • Conference Sponsors: Nanotechnology Institute
  • ISBN: 0-7918-4272-X | eISBN: 0-7918-3800-5
  • Copyright © 2007 by ASME


A new model is described for micro gas flows that combines a second-order slip boundary condition with a near-wall scaling of the Navier-Stokes constitutive relations. This scheme, which is easily implemented within a conventional CFD framework, is shown to be far more accurate than the conventional second-order slip model at predicting high Knudsen number micro Couette and Poiseuille flows. It is also of equivalent computational cost, and as such, represents a more attractive alternative to the conventional slip approach. It is also shown that the current model is capable of accurately predicting combined Couette/Poiseulle flows at a much higher Knudsen number than second-order slip conditions, which bodes well for the applicability of the scheme to more general configurations.

Copyright © 2007 by ASME



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