Kinetic theory of hydrodynamic flows. I. The generalized normal solution method and its application to the drag on a sphere

DOI10.1007/BF01011373zbMath0515.76003OpenAlexW1488902098MaRDI QIDQ1052178

Henk van Beijeren, J. R. Dorfman

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01011373

zbMATH Keywords

boundary conditionsprojection operatordrag forceslip coefficientmean free pathnormal solutionsStokes' lawboundary layer partchange of distribution functionChapman-Enskog normal solutionextended Boltzmann equationflow around macroscopic heavy objectfrequency-dependent forceinteractions between molecules and objectnormal solution partStokes-Boussinesq form

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of liquids (82D15) Foundations of fluid mechanics (76A02)

Related Items (4)

Kinetic theory of drag on objects in nearly free molecular flow ⋮ Microscopic derivation of non-Markovian thermalization of a Brownian particle ⋮ Kinetic theory of hydrodynamic flows. II. The drag on a sphere and on a cylinder ⋮ An Enskog repeated-ring kinetic equation; long-time tails and the Brownian limit

Cites Work

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• On Stokes' problem in kinetic theory
• Compressibility effects in the hydrodynamic theory of Brownian motion
• Flow of a Rarefied Gas past an Axisymmetric Body. I. General Remarks
• Asymptotic Theory of Nearly Free-Molecular Flows
• Stokes' Problems in Kinetic Theory

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