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Title: Second-order Knudsen-layer analysis for the generalized slip-flow theory II: Curvature effects
Authors: Hattori, Masanari  kyouindb  KAKEN_id  orcid (unconfirmed)
Takata, Shigeru  kyouindb  KAKEN_id  orcid (unconfirmed)
Author's alias: 初鳥, 匡成
髙田, 滋
Keywords: Boltzmann equation
Kinetic theory
Slip flow
Curvature effect
Divergence singularity
Knudsen number
Rarefied gas
Issue Date: 2015
Publisher: Springer Nature
Journal title: Journal of Statistical Physics
Volume: 161
Issue: 4
Start page: 1010
End page: 1036
Abstract: Numerical analyses of the second-order Knudsen layer are carried out on the basis of the linearized Boltzmann equation for hard-sphere molecules under the diffuse reflection boundary condition. The effects of the boundary curvature have been clarified in details, thereby completing the numerical data required up to the second order of the Knudsen number for the asymptotic theory of the Boltzmann equation (the generalized slip-flow theory). A local singularity appears as a result of the expansion at the level of the velocity distribution function, when the curvature exists.
Rights: This is a post-peer-review, pre-copyedit version of an article published in Journal of Statistical Physics. The final authenticated version is available online at:
This is not the published version. Please cite only the published version.
DOI(Published Version): 10.1007/s10955-015-1364-0
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