Temperature jump and slip velocity calculations from an anisotropic scattering kernel

S. Kokou Dadzie, J. Gilbert Méolens

Research output: Contribution to journalArticle

9 Citations (Scopus)

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.
LanguageEnglish
Pages328-346
Number of pages18
JournalPhysica A: Statistical Mechanics and its Applications
Volume358
Issue number2-4
DOIs
Publication statusPublished - 15 Dec 2005

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Slip
Jump
slip
Scattering
kernel
accommodation
scattering
gases
temperature ratio
temperature
Creep
Gas Flow
gas temperature
surface reactions
gas flow
Momentum
Molecules
boundary conditions
Gradient
momentum

Keywords

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

Cite this

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title = "Temperature jump and slip velocity calculations from an anisotropic scattering kernel",
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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Temperature jump and slip velocity calculations from an anisotropic scattering kernel. / Dadzie, S. Kokou ; Méolens, J. Gilbert.

In: Physica A: Statistical Mechanics and its Applications, Vol. 358, No. 2-4, 15.12.2005, p. 328-346.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Méolens, J. Gilbert

PY - 2005/12/15

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AB - 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.

KW - gas-wall interaction

KW - Boltzmann equation

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