Second-order Knudsen-layer Analysis for the Generalized Slip- flow Theory I
by Masanari Hattori   Shigeru Takata  

Vol. 10 No. 3 (2015) P.423~P.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.

KEYWORDS
Boltzmann equation, kinetic theory, slip ow, Knudsen number, rarefied gas.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35Q20, 76P05, 82B40, 82C40, 82D05.

MILESTONES

Received: 2015-01-21
Revised :
Accepted: 2015-06-08

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