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dc.contributor.authorKosuge, Shingoen
dc.contributor.authorAoki, Kazuoen
dc.contributor.authorTakata, Shigeruen
dc.contributor.authorHattori, Ryosukeen
dc.contributor.authorSakai, Daisukeen
dc.contributor.alternative小菅, 真吾ja
dc.date.accessioned2012-10-01T01:05:43Z-
dc.date.available2012-10-01T01:05:43Z-
dc.date.issued2011-03-
dc.identifier.issn1070-6631-
dc.identifier.urihttp://hdl.handle.net/2433/159436-
dc.description.abstractSteady behavior of a rarefied gas between parallel plates with sinusoidal temperature distribution is investigated on the basis of the Boltzmann equation. The Cercignani–Lampis (CL) model or the Lord model for diffuse scattering with incomplete energy accommodation is adopted as the boundary condition on the plates. Most of the analysis is carried out numerically with special interest in the free-molecular limit. In the case of the CL model, the nonuniform temperature distribution of the plates may induce a steady free-molecular flow, which is in contrast with the earlier results for the Maxwell-type model [ Y. Sone, J. Méc. Théor. Appl. 3, 315 (1984) ; J. Méc. Théor. Appl. 4, 1 (1985) ]. This fact is confirmed through an accurate deterministic computation based on an integral equation. In addition, computations for a wide range of parameters by means of the direct simulation Monte Carlo method reveal that the flow field changes according to the accommodation coefficients and is classified into four types. The effect of intermolecular collisions on the flow is also examined. In the case of the Lord model, no steady flow of the free-molecular gas is induced as in the case of the Maxwell-type model. This result is extended to the case of a more general boundary condition that gives the cosine law (Lambert’s law) for the reflected molecular flux.en
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherAmerican Institute of Physicsen
dc.rights© 2011 American Institute of Physicsen
dc.subjectBoltzmann equationen
dc.subjectconfined flowen
dc.subjectflow simulationen
dc.subjectintegral equationsen
dc.subjectmolecular collisionsen
dc.subjectMonte Carlo methodsen
dc.subjectrarefied fluid dynamicsen
dc.subjecttemperature distributionen
dc.titleSteady flows of a highly rarefied gas induced by nonuniform wall temperatureen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.ncidAA10986202-
dc.identifier.jtitlePhysics of Fluidsen
dc.identifier.volume23-
dc.identifier.issue3-
dc.relation.doi10.1063/1.3558872-
dc.textversionpublisher-
dc.identifier.artnum030603-
dcterms.accessRightsopen access-
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