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Improved perturbation solutions for laminar natural convection on a vertical cylinder

dc.contributor.authorAziz, A.en_US
dc.contributor.authorNa, Tsung-Yenen_US
dc.date.accessioned2006-09-11T18:02:32Z
dc.date.available2006-09-11T18:02:32Z
dc.date.issued1982-06en_US
dc.identifier.citationAziz, A.; Na, T. Y.; (1982). "Improved perturbation solutions for laminar natural convection on a vertical cylinder." Wärme- und Stoffubertragung 16(2): 83-87. <http://hdl.handle.net/2027.42/46653>en_US
dc.identifier.issn1432-1181en_US
dc.identifier.issn0042-9929en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46653
dc.description.abstractThe method of extended perturbation series is applied to solve for laminar natural convection from an isothermal, thin vertical cylinder. The series in terms of the transverse curvature parameter ξ extended to five terms and is subsequently improved by applying the Shanks transformation twice. The validity of the solution is extended up to ξ =10 and possibly even beyond. Up to ξ =10, the results for wall shear as well as the local and average Nusselt numbers agree very closely with those of local nonsimilarity and finite difference solutions. The ease of computation coupled with high accuracy makes the present approach far more attractive than the currently popular local nonsimilarity and finite difference methods. Its success with the present problem should motivate applications to a host of nonsimilar boundary layer flows. Die Methode der erweiterten Störungsserien wird auf die laminare freie Konvektion am isothermen senkrechten dünnen Zylinder angewendet. Die Serien in Ausdrücken des Krümmungsparameters ξ werden auf 5 Terme ausgedehnt und weiter durch doppelte Auswertung der Shank-Transformation verbessert. Die Lösung gilt mindestens bis ξ =10, vielleicht sogar weiter. Bis ξ =10 stimmen die Lösungen für die Wandschubspannung und die örtliche und mittlere Nußelt-Zahl gut überein mit jenen, die auf der örtlichen Nicht-Ähnlichkeit und finiten Differenzen beruhen. Die leichte Berechenbarkeit und die hohe Genauigkeit machen diesen Lösungsweg attraktiver als die heute populären Verfahren der örtlichen Nicht-Ähnlichkeit und der finiten Differenzen. Der hier aufgezeigte Erfolg sollte zur Anwendung auf nicht-ähnliche Grenzschichtströmungen motivieren.en_US
dc.format.extent404721 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherPhysicsen_US
dc.subject.otherIndustrial Chemistry/Chemical Engineeringen_US
dc.subject.otherThermodynamicsen_US
dc.subject.otherPhysics and Applied Physics in Engineeringen_US
dc.subject.otherTheoretical and Applied Mechanicsen_US
dc.titleImproved perturbation solutions for laminar natural convection on a vertical cylinderen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMechanical Engineeringen_US
dc.subject.hlbtoplevelEngineeringen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mechanical Engineering, University of Michigan-Dearborn, Dearborn, Michigan, USAen_US
dc.contributor.affiliationotherDepartment of Mechanical Engineering, College of Engineering, P. O. Box 800, Riyadh, Saudi Arabiaen_US
dc.contributor.affiliationumcampusDearbornen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46653/1/231_2005_Article_BF01459764.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01459764en_US
dc.identifier.sourceWärme- und Stoffubertragungen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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