Abstract
The effects of second-order terms on the velocity and temperature jumps at a wall are obtained by a physical derivation. The analysis uses the concepts of effective mean free paths for momentum and energy transfer; the effective mean free paths are obtained from known viscosities and thermal conductivities. The second-order slip flow analysis is applicable at somewhat lower pressures than is the first-order analysis and applies to non-monatomic as well as to monatomic gases. Several illustrative examples, including fully developed flow and heat transfer in a tube are considered. Differences between the first- and second-order corrections on the order of 20 per cent were noted in the region for which the analysis appears applicable.
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