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dc.contributor.authorBarışık, Murat
dc.contributor.authorYazıcıoğlu, Almıla Güvenç
dc.contributor.authorÇetin, Barbaros
dc.contributor.authorKakaç, Sadık
dc.date.accessioned2017-07-03T13:19:04Z
dc.date.available2017-07-03T13:19:04Z
dc.date.issued2015-10
dc.identifier.citationBarışık, M., Yazıcıoğlu, A.G., Çetin, B., and Kakaç, S. (2015). Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects. International Communications in Heat and Mass Transfer, 67, 81-88. doi:10.1016/j.icheatmasstransfer.2015.05.004en_US
dc.identifier.issn0735-1933
dc.identifier.urihttps://doi.org/10.1016/j.icheatmasstransfer.2015.05.004
dc.identifier.urihttp://hdl.handle.net/11147/5840
dc.description.abstractThe solution of extended Graetz problem for micro-scale gas flows is performed by coupling of rarefaction, axial conduction and viscous dissipation at slip flow regime. The analytical coupling achieved by using Gram-Schmidt orthogonalization technique provides interrelated appearance of corresponding effects through the variation of non-dimensional numbers. The developing temperature field is determined by solving the energy equation locally together with the fully developed flow profile. Analytical solutions of local temperature distribution, and local and fully developed Nusselt number are obtained in terms of dimensionless parameters: Peclet number, Knudsen number, Brinkman number, and the parameter Kappa accounting temperature-jump. The results indicate that the Nusselt number decreases with increasing Knudsen number as a result of the increase of temperature jump at the wall. For low Peclet number values, temperature gradients and the resulting temperature jump at the pipe wall cause Knudsen number to develop higher effect on flow. Axial conduction should not be neglected for Peclet number values less than 100 for all cases without viscous dissipation, and for short pipes with viscous dissipation. The effect of viscous heating should be considered even for small Brinkman number values with large length over diameter ratios. For a fixed Kappa value, the deviation from continuum increases with increasing rarefaction, and Nusselt number values decrease with an increase in Knudsen number.en_US
dc.description.sponsorshipTurkish Scientific and Technical Research Council (106M076)en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.isversionof10.1016/j.icheatmasstransfer.2015.05.004en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectExtended Graetz problemen_US
dc.subjectAxial conductionen_US
dc.subjectMicropipe heat transferen_US
dc.subjectRarefaction effecten_US
dc.subjectSlip flowen_US
dc.subjectViscous dissipationen_US
dc.titleAnalytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effectsen_US
dc.typearticleen_US
dc.contributor.authorIDTR134465en_US
dc.contributor.iztechauthorBarışık, Murat
dc.relation.journalInternational Communications in Heat and Mass Transferen_US
dc.contributor.departmentİYTE, Mühendislik Fakültesi, Makina Mühendisliği Bölümüen_US
dc.identifier.volume67en_US
dc.identifier.startpage81en_US
dc.identifier.endpage88en_US
dc.identifier.wosWOS:000362143700012
dc.identifier.scopusSCOPUS:2-s2.0-84938695664
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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