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Temperature jump and slip velocity calculations from an anisotropic scattering kernel

Dadzie, S.K. and Méolens, J.G. (2005) Temperature jump and slip velocity calculations from an anisotropic scattering kernel. Physica A: Statistical Mechanics and its Applications, 358 (2-4). pp. 328-346. ISSN 0378-4371

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Abstract

This article deals with the problem of temperature jump and slip velocity at the wall in gas/surface interaction. A consistent modelling of an impermeable surface involving an anisotropic scattering kernel developed in previous works is used to establish boundary conditions in unstructured molecule gas flows. Thus a temperature jump relation is derived in which the gas viscous effects at the wall and the mean velocity gradients appear. Likewise, a slip velocity relation is obtained in which both the slip coefficient and the thermal creep coefficient depend on the wall-to-gas temperature ratio. Moreover, both the temperature jump and the slip velocity relations involve not only one accommodation coefficient as in usual expressions, but also the gas/surface information through the various (notably normal and tangential) accommodation coefficients of the momentum components.