Macroscopic descriptions of rarefied gases from the elimination of fast variables

DOI10.1063/1.2772271zbMath1182.76195OpenAlexW2000177043MaRDI QIDQ5303570

Paul J. Dellar

Publication date: 18 March 2010

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

Full work available at URL: https://doi.org/10.1063/1.2772271

zbMATH Keywords

Boltzmann equationrarefied fluid dynamics

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

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Cites Work

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• Macroscopic equations for rarefied gas dynamics
• The kinetic foundations of extended irreversible thermodynamics revisited
• Chapman-Enskog as an application of the method for eliminating fast variables
• Burnett's equations from a \((13+9N)\)-field theory
• Constitutive relations for monatomic gases based on a generalized rational approximation to the sum of the Chapman-Enskog expansion
• On the frame dependence of stress and heat flux
• Kinetic Models and the Linearized Boltzmann Equation
• Frame-indifferent kinetic theory
• Higher-order continuum approximation for rarefied gases
• Transport processes in dilute gases over the whole range of Knudsen numbers. Part 1. General theory
• Transport processes in dilute gases over the whole range of Knudsen numbers. Part 2. Ultrasonic sound waves
• Molecular Gas Dynamics
• Kinetic Theory of Sound Propagation in Rarefied Gases
• Heat waves
• Linearized Boundary Value Problem for a Gas and Sound Propagation
• High Frequency Sound According to the Boltzmann Equation
• Free-Molecule Expansion Polynomials and Sound Propagation in Rarefied Gases
• Asymptotic Theory of the Boltzmann Equation
• 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

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