Homogenization of a Flow in a Periodic Channel of Small Section

DOI10.1137/S1540345902409931zbMath1107.76060OpenAlexW2084260885MaRDI QIDQ4474985

Kazuo Aoki, Pierre Degond

Publication date: 22 July 2004

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1540345902409931

zbMATH Keywords

diffusion approximationhomogenizationBoltzmann equationrarefied gas flowfree molecular flowconvection-diffusion model

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Homogenization applied to problems in fluid mechanics (76M50)

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Diffusion models for Knudsen compressors ⋮ Rarefied gas flow over an in-line array of circular cylinders ⋮ Gas separation by means of the Knudsen compressor ⋮ Effect of weak gravitation on the plane Poiseuille flow of a highly rarefied gas ⋮ Plane Poiseuille flow and thermal transpiration of a highly rarefied gas between the two walls of Maxwell-type boundaries with different accommodation coefficients: effect of a weak external force ⋮ Boundary-driven nonequilibrium gas flow in a grooved channel via kinetic theory ⋮ Gas-surface interaction and boundary conditions for the Boltzmann equation ⋮ Rarefied gas flows through a curved channel: Application of a diffusion-type equation

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