Slip Boundary Conditions for the Compressible Navier-Stokes Equations

被引：33

作者：

Aoki, Kazuo ^{[1
,2
]}

Baranger, Celine ^{[3
]}

Hattori, Masanari ^{[4
]}

Kosuge, Shingo ^{[5
]}

Martalo, Giorgio ^{[6
,7
]}

Mathiaud, Julien ^{[3
]}

Mieussens, Luc ^{[6
,7
]}

机构：

[1] Natl Taiwan Univ, Div Math, Natl Ctr Theoret Sci, Taipei, Taiwan

[2] Natl Cheng Kung Univ, Dept Math, Tainan, Taiwan

[3] CEA CESTA, 15 Ave Sablieres,CS 60001, F-33116 Le Barp, France

[4] Kyoto Univ, Grad Sch Engn, Dept Mech Engn & Sci, Kyoto 6158540, Japan

[5] Kyoto Univ, Grad Sch Engn, Ctr Global Leadership Engn Educ, Kyoto 6158540, Japan

[6] Univ Bordeaux, CNRS, UMR 5251, Bordeaux INP IMB, F-33400 Bordeaux, France

[7] Inria Bordeaux Sud Ouest, F-33405 Talence, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2017年 / 169卷 / 04期

关键词：

Boltzmann equation; Knudsen layer; Navier-Stokes equations; Slip boundary conditions; Moving boundary problems; LINEARIZED BOLTZMANN-EQUATION; SLIGHTLY RAREFIED-GAS; TEMPERATURE-JUMP COEFFICIENTS; KNUDSEN-LAYER ANALYSIS; THERMAL CREEP FLOWS; KINETIC-THEORY; NUMERICAL-ANALYSIS; VISCOUS-SLIP; PLANE WALL; ASYMPTOTIC THEORY;

D O I：

10.1007/s10955-017-1886-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The slip boundary conditions for the compressible Navier-Stokes equations are derived systematically from the Boltzmann equation on the basis of the Chapman-Enskog solution of the Boltzmann equation and the analysis of the Knudsen layer adjacent to the boundary. The resulting formulas of the slip boundary conditions are summarized with explicit values of the slip coefficients for hard-sphere molecules as well as the Bhatnagar-Gross-Krook model. These formulas, which can be applied to specific problems immediately, help to prevent the use of often used slip boundary conditions that are either incorrect or without theoretical basis.

引用

页码：744 / 781

页数：38

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