Temperature jump and slip velocity calculations from an anisotropic scattering kernel

S. Kokou Dadzie, J. Gilbert Méolens

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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.
Original languageEnglish
Pages (from-to)328-346
Number of pages18
JournalPhysica A: Statistical Mechanics and its Applications
Volume358
Issue number2-4
DOIs
Publication statusPublished - 15 Dec 2005

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Keywords

  • gas-wall interaction
  • Boltzmann equation
  • temperature jump
  • slip velocity
  • slip flows

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