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Title: Second-order Knudsen-layer analysis for the generalized slip-flow theory I
Authors: HATTORI, Masanari  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0002-5482-0210 (unconfirmed)
TAKATA, Shigeru  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0001-6787-6777 (unconfirmed)
Author's alias: 初鳥 匡成
髙田, 滋
Keywords: Boltzmann equation
kinetic theory
slip ow, Knudsen number
rarefied gas
35Q20
76P05
82B40
82C40
82D05
Issue Date: 2015
Publisher: Institute of Mathematics, Academia Sinica
Journal title: Bulletin of the Institute of Mathematics, Academia Sinica (New Series)
Volume: 10
Issue: 3
Start page: 423
End page: 448
Abstract: Numerical analyses of the second-order Knudsen layer are conducted on the basis of the linearized Boltzmann equation for hard-sphere molecules under the diffuse reflection boundary condition. These aim at completing the data for the asymptotic theory of the Boltzmann equation (the generalized slip-flow theory) that have been lacking for nearly a half century except for the Bhatnagar–Gross–Krook (or Boltzmann–Krook–Welander) kinetic model equation. Numerical data, except for the curvature effects, are prepared up to the second order in the Knudsen number expansion.
Rights: Publisher permitted to deposit this paper on this repository.
URI: http://hdl.handle.net/2433/243901
Related Link: https://web.math.sinica.edu.tw/bulletin/
https://web.math.sinica.edu.tw/bulletin/archives_articlecontent16.jsp?bid=MjAxNTMwNg==
Appears in Collections:Journal Articles

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