Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation

DOI10.1063/1.868846zbMath1027.76649OpenAlexW2015465424MaRDI QIDQ4425647

Kazuo Aoki, Hiroshi Sugimoto, Shigeru Takata, Yoshio Sone, Alexander V. Bobylev

Publication date: 16 December 2003

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

Full work available at URL: https://doi.org/10.1063/1.868846

Mathematics Subject Classification ID

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Cites Work

• Quasistationary hydrodynamics for the Boltzmann equation.
• SOLUTION OF THE BOLTZMANN-HILBERT INTEGRAL EQUATION II. THE COEFFICIENTS OF VISCOSITY AND HEAT CONDUCTION
• On the equations of motion of a rarefied gas
• 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
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules
• Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules
• Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the S layer at the bottom of the Knudsen layer
• Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory

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