Derivation of slip boundary conditions for the Navier-Stokes system from the Boltzmann equation
Journal Article
·
· J. Stat. Phys.; (United States)
Rarefied gas flow behavior is usually described by the Boltzmann equation, the Navier-Stokes system being valid when the gas is less rarefied. Slip boundary conditions for the Navier-Stokes equations are derived in a rigorous and systematic way from the boundary condition at the kinetic level (Boltzmann equation). These slip conditions are explicitly written in terms of asymptotic behavior of some linear half-space problems. The validity of this analysis is established in the simple case of the Couette flow, for which is it proved that the right boundary conditions are obtained.
- Research Organization:
- CMA, Paris (France)
- OSTI ID:
- 5844069
- Journal Information:
- J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 54:3-4; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
Similar Records
Slip Boundary Conditions for the Compressible Navier–Stokes Equations
Coupling Boltzmann and Navier-Stokes equations by friction
Smoothed Particle Hydrodynamics Continuous Boundary Force method for Navier-Stokes equations subject to Robin boundary condition
Journal Article
·
Tue Nov 14 23:00:00 EST 2017
· Journal of Statistical Physics
·
OSTI ID:22784076
Coupling Boltzmann and Navier-Stokes equations by friction
Journal Article
·
Sun Sep 01 00:00:00 EDT 1996
· Journal of Computational Physics
·
OSTI ID:478578
Smoothed Particle Hydrodynamics Continuous Boundary Force method for Navier-Stokes equations subject to Robin boundary condition
Journal Article
·
Fri Feb 14 23:00:00 EST 2014
· Journal of Computational Physics, 259:242-259
·
OSTI ID:1129339
Related Subjects
42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
BOUNDARY LAYERS
CHAPMAN-ENSKOG THEORY
COUETTE FLOW
DIFFERENTIAL EQUATIONS
EQUATIONS
FLOW MODELS
FLUID FLOW
FLUIDS
GAS FLOW
GASES
KINETICS
KNUDSEN FLOW
LAMINAR FLOW
LAYERS
MATHEMATICAL MODELS
MAXWELL EQUATIONS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
RAREFIED GASES
SERIES EXPANSION
SLIP FLOW
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSPORT THEORY
TURBULENT FLOW
VISCOUS FLOW
420400* -- Engineering-- Heat Transfer & Fluid Flow
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
BOUNDARY LAYERS
CHAPMAN-ENSKOG THEORY
COUETTE FLOW
DIFFERENTIAL EQUATIONS
EQUATIONS
FLOW MODELS
FLUID FLOW
FLUIDS
GAS FLOW
GASES
KINETICS
KNUDSEN FLOW
LAMINAR FLOW
LAYERS
MATHEMATICAL MODELS
MAXWELL EQUATIONS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
RAREFIED GASES
SERIES EXPANSION
SLIP FLOW
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSPORT THEORY
TURBULENT FLOW
VISCOUS FLOW