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Half-Space Problem for the Discrete Boltzmann Equation: Condensing Vapor Flow in the Presence of a Non-condensable Gas
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (Kinetisk teori)
2012 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 147, no 6, 1156-1181 p.Article in journal (Refereed) Published
Abstract [en]

We consider a non-linear half-space problem related to the condensation problem for the discrete Boltzmann equation and extend some known results for a single-component gas to the case when a non-condensable gas is present. The vapor is assumed to tend to an assigned Maxwellian at infinity, as the non-condensable gas tends to zero at infinity. We assume that the vapor is completely absorbed and that the non-condensable gas is diffusively reflected at the condensed phase and that the vapor molecules leaving the condensed phase are distributed according to a given distribution. The conditions, on the given distribution, needed for the existence of a unique solution of the problem are investigated. We also find exact solvability conditions and solutions for a simplified six+four-velocity model, as the given distribution is a Maxwellian at rest, and study a simplified twelve+six-velocitymodel.

Place, publisher, year, edition, pages
Berlin: Springer , 2012. Vol. 147, no 6, 1156-1181 p.
Keyword [en]
Boltzmann equation, boundary layers, discrete velocity models, half-space problem, non-condensable gas
National Category
Natural Sciences
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-14507DOI: 10.1007/s10955-012-0513-yISI: 000305792300007OAI: oai:DiVA.org:kau-14507DiVA: diva2:544827
Available from: 2012-08-16 Created: 2012-08-16 Last updated: 2013-02-12Bibliographically approved

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Citation style
  • apa
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  • de-DE
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  • Other locale
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