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dc.contributor.authorPraks, Pavel
dc.contributor.authorBrkić, Dejan
dc.date.accessioned2018-09-12T10:50:28Z
dc.date.available2018-09-12T10:50:28Z
dc.date.issued2018
dc.identifier.citationEnergies. 2018, vol. 11, issue 7, art. no. 1825.cs
dc.identifier.issn1996-1073
dc.identifier.urihttp://hdl.handle.net/10084/131727
dc.description.abstractThe 80 year-old empirical Colebrook function zeta, widely used as an informal standard for hydraulic resistance, relates implicitly the unknown flow friction factor lambda, with the known Reynolds number Re and the known relative roughness of a pipe inner surface epsilon* ; lambda = zeta(Re, epsilon* ,lambda). It is based on logarithmic law in the form that captures the unknown flow friction factor l in a way that it cannot be extracted analytically. As an alternative to the explicit approximations or to the iterative procedures that require at least a few evaluations of computationally expensive logarithmic function or non-integer powers, this paper offers an accurate and computationally cheap iterative algorithm based on Pade polynomials with only one log-call in total for the whole procedure (expensive log-calls are substituted with Pade polynomials in each iteration with the exception of the first). The proposed modification is computationally less demanding compared with the standard approaches of engineering practice, but does not influence the accuracy or the number of iterations required to reach the final balanced solution.cs
dc.format.extent1056744 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofseriesEnergiescs
dc.relation.urihttps://doi.org/10.3390/en11071825cs
dc.rights© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectColebrook equationcs
dc.subjectColebrook-Whitecs
dc.subjectflow frictioncs
dc.subjectiterative procedurecs
dc.subjectlogarithmscs
dc.subjectPade polynomialscs
dc.subjecthydraulic resistancescs
dc.subjectturbulent flowcs
dc.subjectpipescs
dc.subjectcomputational burdencs
dc.titleOne-log call iterative solution of the Colebrook equation for flow friction based on Pade polynomialscs
dc.typearticlecs
dc.identifier.doi10.3390/en11071825
dc.rights.accessopenAccesscs
dc.type.versionpublishedVersioncs
dc.type.statusPeer-reviewedcs
dc.description.sourceWeb of Sciencecs
dc.description.volume11cs
dc.description.issue7cs
dc.description.firstpageart. no. 1825cs
dc.identifier.wos000441830500209


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© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Except where otherwise noted, this item's license is described as © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.