Exact Numerical Results for Poiseuille And Thermal Creep Flow in a Cylindrical Tube

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dc.contributorVirginia Techen
dc.contributor.authorValougeorgis, D.en
dc.contributor.authorThomas, J. R.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessed2014-04-04en
dc.date.accessioned2014-04-24T18:34:12Zen
dc.date.available2014-04-24T18:34:12Zen
dc.date.issued1986-02-01en
dc.description.abstractThe F N method is used, in the field of rarefied gas dynamics, to develop a complete solution for the cylindrical Poiseuille flow and thermal creep problems. The linearized Bhatnagar–Gross–Krook (BGK) model and purely diffuse reflection at the surface are used to describe the physical problem. The derived set of singular integral equations is solved by polynomial expansion and collocation. By choosing suitable F N approximations, the solution of both problems under consideration is accomplished with a single matrix inversion, minimizing computational time and effort. The converged numerical results for the flow rates and the velocity profiles are correct to four significant figures, thus supporting the results of previous authors achieved by other methods.en
dc.description.sponsorshipNSF CPE-8107473en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationValougeorgis, D.; Thomas, J. R., "exact numerical results for Poiseuille and thermal creep flow in a cylindrical tube," Phys. Fluids 29, 423 (1986); http://dx.doi.org/10.1063/1.865725en
dc.identifier.doihttps://doi.org/10.1063/1.865725en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/47621en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof1/29/2/10.1063/1.865725en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleExact Numerical Results for Poiseuille And Thermal Creep Flow in a Cylindrical Tubeen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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