On the long time behavior of gas flows by evaporation from a plane condensed phase
by Shigeru Takata  

Vol. 3 No. 1 (2008) P.115~P.147

ABSTRACT

Evaporation from a plane condensed phase in the case of two species systems is studied on the basis of the kinetic theory of gases, with a special interest in the long time behavior of the mixture of vapors from initial equilibrium states. A standard finitedifference analysis by the use of the Garzó–Santos–Brey model Boltzmann equation is performed, and the long time behavior of the mixture and the condition for steady evaporation are clarified. Conventional gas-dynamic argument developed in [Y. Sone and H. Sugimoto, in Adiabatic Waves in Liquid-Vapor Systems, G.E.A. Meier and P.A. Thompson Eds., Springer, Berlin, 1990, pp. 293–304] is also applied, and the obtained numerical solutions are reported to be covered by the four-fold classification in this reference. It is, however, shown by the same argument that a certain class of the initial equilibrium states is not covered by that classification. The long time behavior of the mixture from this class of initial states is also discussed.

KEYWORDS
Kinetic theory of gases, Boltzmann equation, evaporation, binary mixture, vacuum, compressible flow

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 76P05, 76N15, 82B40, 82C40

MILESTONES

Received: 2007-10-11
Revised :
Accepted:

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