Diffusion models for Knudsen compressors

DOI10.1063/1.2798748zbMath1182.76027OpenAlexW2088348581MaRDI QIDQ5303655

Hiroaki Yoshida, Kazuo Aoki, Shigeru Takata, Pierre Degond

Publication date: 18 March 2010

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

Full work available at URL: http://hdl.handle.net/2433/84589

zbMATH Keywords

diffusionBoltzmann equationpipe flowKnudsen flow

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

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Cites Work

• Unnamed Item
• Molecular gas dynamics. Theory, techniques, and applications.
• Half-space problems for the Boltzmann equation: a survey
• Gas separation by means of the Knudsen compressor
• On Knudsen flows within thin tubes
• The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems
• Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. I: Plane flow between two parallel plates
• Thermal transpiration for the linearized Boltzmann equation
• Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules
• Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules
• The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics
• Demonstration of a one-way flow of a rarefied gas induced through a pipe without average pressure and temperature gradients
• Use of the degenerated Reynolds equation in solving the microchannel flow problem
• The Diffusion Limit of Free Molecular Flow in Thin Plane Channels
• A Model of Near-Wall Conductivity and Its Application to Plasma Thrusters
• Electron transport in stationary plasma thrusters
• One-way flow of a rarefied gas induced in a channel with a periodic temperature distribution
• Homogenization of a Flow in a Periodic Channel of Small Section
• Flows Induced by Temperature Fields in a Rarefied Gas and their Ghost Effect on the Behavior of a Gas in the Continuum Limit
• Asymptotic Transport Models for Heat and Mass Transfer in Reactive Porous Media
• Flow of Rarefied Gas through a Circular Pipe
• On the kinetic theory of rarefied gases
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems