Zusammenfassung
Nach der Methode vonRoussopoulos wird ein Variations-prinzip für die linearisierte, stationäreBoltzmann-Gleichung der kinetischen Gastheorie angegeben. Aus dem Prinzip werden die Momentengleichungen und geeignete Randbedingungen abgeleitet. Mit Hilfe der Momentengleichungen und den angegebenen Randbedingungen wird der Gleitkoeffizient für das Krook-Modell und dasMaxwell-Gas berechnet.
Summary
A variational principle for the linearized stationaryBoltzmann equation of the kinetic theory of gases is presented by the method ofRoussopoulos. The momentum equations and suitable boundary conditions are derived using this principle. The slip coefficients for the B-G-K model and for aMaxwellian gas are calculated by the momentum equations and the indicated boundary conditions.
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Aus dem Max-Planck-Institut für Strömungsforschung, Göttingen (Direktor: Prof. Dr.W. Tollmien). Ausführliche Darstellung eines Kurzvortrages, gehalten an derGamm-Tagung 1967 in Zürich.
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Lang, H. Ein Variationsprinzip für die linealisierte, stationäre Boltzmann-Gleichung der kinetischen Gastheorie. Acta Mechanica 5, 163–188 (1968). https://doi.org/10.1007/BF01178830
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DOI: https://doi.org/10.1007/BF01178830