Flow of Rarefied Gas through a Circular Pipe

Abstract

The asymptotic behavior at small Knudsen number for two problems involving the flow of rarefied gas through a circular pipe, Poiseuille flow and thermal creep is treated using the Boltzmann-Krook equation. By a matching procedure the outer solution for the continuum regime and the solution for the Knudsen layer are determined simultaneously. Actual calculations have been carried out up to second order. A short discussion on second-order slip condition is also given.