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.
- Nanotechnology Institute
Near-Wall Scaling of the Navier-Stokes Constitutive Relations for Accurate Micro Gas Flow Simulations
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Lockerby, DA, & Reese, JM. "Near-Wall Scaling of the Navier-Stokes Constitutive Relations for Accurate Micro Gas Flow Simulations." Proceedings of the 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. pp. 357-363. ASME. https://doi.org/10.1115/ICNMM2007-30061
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