Slip boundary conditions for the compressible Navier-Stokes equations

DOI10.1007/s10955-017-1886-8zbMath1383.82045OpenAlexW2761570815MaRDI QIDQ1696957

Luc Mieussens, Kazuo Aoki, Masanari Hattori, Shingo Kosuge, Julien Mathiaud, Céline Baranger, Giorgio Martalò

Publication date: 15 February 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-017-1886-8

zbMATH Keywords

Navier-Stokes equationsBoltzmann equationslip boundary conditionsmoving boundary problemsKnudsen layer

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Moving boundary problems for PDEs (35R37) Boltzmann equations (35Q20)

Related Items (8)

Non-continuum effects on a squeezed gas film in a two-dimensional acoustic resonator ⋮ A comprehensive review on micro- and nano-scale gas flow effects: slip-jump phenomena, Knudsen paradox, thermally-driven flows, and Knudsen pumps ⋮ Construction of boundary conditions for Navier-Stokes equations from the moment system ⋮ Linear Moment Models to Approximate Knudsen Layers ⋮ On well-posed boundary conditions for the linear non-homogeneous moment equations in half-space ⋮ Knudsen layer behaviour and momentum accommodation from surface roughness modelling ⋮ Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains ⋮ Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition

Uses Software

• Boltzmann

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