Microchannel flow in the slip regime: gas-kinetic BGK–Burnett solutions

By K. Xu, Zhihui Li. Journal of Fluid Mechanics, 2004

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Fokker–Planck model for computational studies of monatomic rarefied gas flows (2011, background): “The latter is a phenomenon which cannot be captured by a Navier–Stokes–Fourier system, even if the correct velocity slip and temperature jump are imposed at the wall boundaries (see Zheng, Garcia & Alder 2002; Xu 2003, 2004; Taheri, Torrilhon & Struchtrup 2009).”
A high-order moment approach for capturing non-equilibrium phenomena in the transition regime (2009, methodology): “The velocity u is non-dimensionalized by uo = ζ √ 2RT (Xu & Li 2004), where ζ is related to the pressure gradient in the channel by p =po(1 − ζx/H ).”