Lockerby, D. A. and Reese, J. M. (2007) Near-wall scaling of the Navier-Stokes constitutive relations for accurate micro gas flow simulations. In: 5th International Conference on Nanochannels, Microchannels, and Minichannels, Puebla, MEXICO, JUN 18-20, 2007. Published in: ICNMM2007: PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON NANOCHANNELS, MICROCHANNELS, AND MINICHANNELS pp. 357-363.

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.

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