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- Title
Regular asymptotic expansion of the linearized Bhatnagar-Gross-Krook equation.
- Authors
Chekmarev, I. B.
- Abstract
The dissipative relaxation of a plane acoustic wave in a quiescent homogeneous gas is studied with the linearized Bhatnagar-Gross-Krook equation. For small Knudsen numbers, a solution is constructed with the multiscale expansion technique. A self-consistent solution uniformly applicable in the large-time limit is extended to the fourth super-Barnett approximation. Expressions for the parameters of the wave, including Knudsen corrections to the damping rate, are derived. A value of the solutions obtained in this paper is that they make it possible to estimate the validity of assumptions.
- Subjects
ASYMPTOTIC expansions; KROOK equation; GAS dynamics; ACOUSTIC surface waves; APPROXIMATION theory; MATHEMATICAL models
- Publication
Technical Physics, 2006, Vol 51, Issue 10, p1251
- ISSN
1063-7842
- Publication type
Article
- DOI
10.1134/S106378420610001X