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.
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Sone et al. (1968) studied this question.
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