Near-wall scaling of the Navier-Stokes constitutive relations of accurate micro gas flow simulations

J.M. Reese, Duncan A. Lockerby

Research output: Contribution to conferencePaper

2 Citations (Scopus)

Abstract

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.

Conference

Conference5th International Conference on Nanochannels, Microchannels and Minichannels
Abbreviated titleICNMM 2007
CountryMexico
CityPuebla
Period18/06/0720/06/07

Fingerprint

Flow simulation
Flow of gases
Computational fluid dynamics
Boundary conditions
Costs

Keywords

  • gas flow
  • navier-stokes
  • hydrodynamics
  • microchannels

Cite this

Reese, J. M., & Lockerby, D. A. (2007). Near-wall scaling of the Navier-Stokes constitutive relations of accurate micro gas flow simulations. Paper presented at 5th International Conference on Nanochannels, Microchannels and Minichannels , Puebla, Mexico.
Reese, J.M. ; Lockerby, Duncan A. . / Near-wall scaling of the Navier-Stokes constitutive relations of accurate micro gas flow simulations. Paper presented at 5th International Conference on Nanochannels, Microchannels and Minichannels , Puebla, Mexico.
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Reese, JM & Lockerby, DA 2007, 'Near-wall scaling of the Navier-Stokes constitutive relations of accurate micro gas flow simulations' Paper presented at 5th International Conference on Nanochannels, Microchannels and Minichannels , Puebla, Mexico, 18/06/07 - 20/06/07, .

Near-wall scaling of the Navier-Stokes constitutive relations of accurate micro gas flow simulations. / Reese, J.M.; Lockerby, Duncan A. .

2007. Paper presented at 5th International Conference on Nanochannels, Microchannels and Minichannels , Puebla, Mexico.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Near-wall scaling of the Navier-Stokes constitutive relations of accurate micro gas flow simulations

AU - Reese, J.M.

AU - Lockerby, Duncan A.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - gas flow

KW - navier-stokes

KW - hydrodynamics

KW - microchannels

UR - http://www.asmeconferences.org/ICNMM07/

M3 - Paper

ER -

Reese JM, Lockerby DA. Near-wall scaling of the Navier-Stokes constitutive relations of accurate micro gas flow simulations. 2007. Paper presented at 5th International Conference on Nanochannels, Microchannels and Minichannels , Puebla, Mexico.