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Evaporation and condensation of a rarefied gas between its two parallel plane condensed phases with different temperatures and negative temperature-gradient phenomenon — Numerical analysis of the boltzmann equation for hard-sphere molecules —

Part of the Lecture Notes in Mathematics book series (LNM,volume 1460)

Abstract

A rarefied gas between its two parallel plane condensed phases is considered, and its steady behavior, especially the rate of evaporation or condensation on the condensed phases and the negative temperature-gradient phenomenon, is studied numerically on the basis of the linearized Boltzmann equation for hard-sphere molecules under the conventional boundary condition and its generalization. The method of analysis is the finite-difference method developed recently by the authors. Not only the temperature and density distributions and the mass and energy fluxes in the gas but also the velocity distribution function of the gas molecules is obtained with good accuracy for the whole range of the Knudsen number.

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© 1991 Springer-Verlag

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Sone, Y., Ohwada, T., Aoki, K. (1991). Evaporation and condensation of a rarefied gas between its two parallel plane condensed phases with different temperatures and negative temperature-gradient phenomenon — Numerical analysis of the boltzmann equation for hard-sphere molecules —. In: Toscani, G., Boffi, V., Rionero, S. (eds) Mathematical Aspects of Fluid and Plasma Dynamics. Lecture Notes in Mathematics, vol 1460. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091368

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  • DOI: https://doi.org/10.1007/BFb0091368

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53545-4

  • Online ISBN: 978-3-540-46779-3

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