In the slip flow regime, the Navier–Stokes equations can still be used with modified boundary conditions to account for rarefaction effects close to the wall. A layer of rarefied gas with a size similar to the mean free path develops close to the wall — this is termed the Knudsen layer. The Navier–Stokes equations are not applicable in this layer, but the flow outside the layer can be described by extrapolating the bulk gas flow toward the wall and applying Maxwell’s slip boundary condition at the wall (
Ref. 5). For thermal flows the von Smoluchowski temperature jump boundary condition must also be applied (
Ref. 5).