Slip Boundary Conditions for the Compressible Navier–Stokes Equations

Journal Article · Tue Nov 14 23:00:00 EST 2017 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/S10955-017-1886-8· OSTI ID:22784076

Aoki, Kazuo ^[1]; Baranger, Céline ^[2]; Hattori, Masanari ^[3]; Kosuge, Shingo ^[4]; Martalò, Giorgio ^[5]; Mathiaud, Julien ^[2]; Mieussens, Luc ^[5]

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1. National Taiwan University, Mathematics Division, National Center for Theoretical Sciences (China)
2. CEA-CESTA (France)
3. Kyoto University, Department of Mechanical Engineering and Science, Graduate School of Engineering (Japan)
4. Kyoto University, Center for Global Leadership Engineering Education, Graduate School of Engineering (Japan)
5. Université de Bordeaux, CNRS, Bordeaux INP IMB, UMR 5251 (France)

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.

• OSTI ID: 22784076
• Journal Information: Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 4 Vol. 169; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
LAYERS
MATHEMATICAL SOLUTIONS
MOLECULES
NAVIER-STOKES EQUATIONS