Temperature jump and slip velocity calculations from an anisotropic scattering kernel

Dadzie, S. Kokou and Méolens, J. Gilbert (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 (https://doi.org/10.1016/j.physa.2005.04.013)

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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 coeffcient and the thermal creep coeffcient depend on the wall-to-gas temperature ratio. Moreover, both the temperature jump and the slip velocity relations involve not only one accommodation coeffcient as in usual expressions, but also the gas/surface information through the various (notably normal and tangential) accommodation coeffcients of the momentum components.

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