Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/93315
PIRA download icon_1.1View/Download Full Text
DC FieldValueLanguage
dc.contributorDepartment of Applied Mathematics-
dc.creatorFan, Yen_US
dc.creatorLi, Jen_US
dc.creatorLi, Ren_US
dc.creatorQiao, Zen_US
dc.date.accessioned2022-06-15T03:42:43Z-
dc.date.available2022-06-15T03:42:43Z-
dc.identifier.issn0935-1175en_US
dc.identifier.urihttp://hdl.handle.net/10397/93315-
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© Springer-Verlag GmbH Germany, part of Springer Nature 2019en_US
dc.rightsThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00161-019-00749-3en_US
dc.subjectBoltzmann equationen_US
dc.subjectHyperbolic moment equationsen_US
dc.subjectKnudsen layeren_US
dc.subjectKramers’ problemen_US
dc.titleResolving Knudsen layer by high-order moment expansionen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1313en_US
dc.identifier.epage1337en_US
dc.identifier.volume31en_US
dc.identifier.issue5en_US
dc.identifier.doi10.1007/s00161-019-00749-3en_US
dcterms.abstractWe model the Knudsen layer in Kramers’ problem by the linearized high-order hyperbolic moment system. Thanks to the hyperbolicity of the moment system, its boundary conditions are properly reduced from the kinetic boundary condition. For the Kramers’ problem, we present the analytical solutions of the linearized moment systems. The velocity profile in the Knudsen layer is captured with improved accuracy for a wide range of accommodation coefficients. With the order of the moment system increasing, the velocity profile approaches to that of the linearized Boltzmann–BGK equation.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationContinuum mechanics and thermodynamics, Sept. 2019, v. 31, no. 5, p. 1313-1337en_US
dcterms.isPartOfContinuum mechanics and thermodynamicsen_US
dcterms.issued2019-09-
dc.identifier.scopus2-s2.0-85061302948-
dc.identifier.eissn1432-0959en_US
dc.description.validate202206 bcfc-
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberAMA-0264-
dc.description.fundingSourceRGCen_US
dc.description.fundingSourceOthersen_US
dc.description.fundingTextPolyUen_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS13007162-
Appears in Collections:Journal/Magazine Article
Files in This Item:
File Description SizeFormat 
Qiao_Resolving_Knudsen_Layer.pdfPre-Published version2.56 MBAdobe PDFView/Open
Open Access Information
Status open access
File Version Final Accepted Manuscript
Access
View full-text via PolyU eLinks SFX Query
Show simple item record

Page views

56
Last Week
0
Last month
Citations as of May 19, 2024

Downloads

37
Citations as of May 19, 2024

SCOPUSTM   
Citations

6
Citations as of May 16, 2024

WEB OF SCIENCETM
Citations

6
Citations as of May 16, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.