Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects

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dc.citation.epage88en_US
dc.citation.spage81en_US
dc.citation.volumeNumber67en_US
dc.contributor.authorBarişik, M.en_US
dc.contributor.authorYazicioğlu, A. G.en_US
dc.contributor.authorÇetin B.en_US
dc.contributor.authorKakaç, S.en_US
dc.date.accessioned2016-02-08T09:36:16Z
dc.date.available2016-02-08T09:36:16Z
dc.date.issued2015en_US
dc.departmentDepartment of Mechanical Engineeringen_US
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. © 2015 Published by Elsevier Ltd.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T09:36:16Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2015en
dc.identifier.doi10.1016/j.icheatmasstransfer.2015.05.004en_US
dc.identifier.issn0735-1933
dc.identifier.urihttp://hdl.handle.net/11693/20837
dc.language.isoEnglishen_US
dc.publisherElsevier Ltden_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.icheatmasstransfer.2015.05.004en_US
dc.source.titleInternational Communications in Heat and Mass Transferen_US
dc.subjectAxial conductionen_US
dc.subjectExtended Graetz problemen_US
dc.subjectMicropipe heat transferen_US
dc.subjectRarefaction effecten_US
dc.subjectSlip flowen_US
dc.subjectViscous dissipationen_US
dc.subjectNusselt numberen_US
dc.subjectPeclet numberen_US
dc.subjectTemperatureen_US
dc.subjectViscous flowen_US
dc.titleAnalytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effectsen_US
dc.typeArticleen_US

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