Computer-based analysis of explicit approximations to the implicit Colebrook-White equation in turbulent flow friction factor calculation

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dc.authoridYildirim, Gurol -- 0000-0003-1899-5379
dc.contributor.authorYıldırım, Gürol
dc.date.accessioned13.07.201910:50:10
dc.date.accessioned2019-07-29T19:26:25Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-29T19:26:25Z
dc.date.issued2009
dc.departmentMühendislik Fakültesi
dc.description.abstractThe implicit Colebrook-White equation has been widely used to estimate the friction factor for turbulent fluid-flow in rough-pipes. In this paper, the state-of-the-art review for the most currently available explicit alternatives to the Colebrook-White equation, is presented. An extensive comparison test was established on the 20 x 500 grid, for a wide range of relative roughness (epsilon/D) and Reynolds number (R) values (1 x 10(-6) <= epsilon/D <= 5 x 10(-2); 4 x 10(3) <= R <= 10(8)), covering a large portion of turbulent flow zone in Moody's diagram. Based on the comprehensive error analysis, the magnitude points in which the maximum absolute and the maximum relative error are occurred at the pair of epsilon/D and R values, are observed. A limiting case of the most of these approximations provided friction factor estimates that are characterized by a mean absolute error of 5 x 10(-4), a maximum absolute error of 4 x 10(-3) whereas, a mean relative error of 1.3% and a maximum relative error of 5.8%, over the entire range of epsilon/D and R values, respectively. For practical purposes, the complete results for the maximum and the mean relative errors versus the 20 sets of epsilon/D value, are also indicated in two comparative figures. The examination results for error properties of these approximations gives one an opportunity to practically evaluate the most accurate formula among of all the previous explicit models; and showing in this way its great flexibility for estimating turbulent flow friction factor. Comparative analysis for the mean relative error profile revealed, the classification for the best-fitted six equations examined was in a good agreement with those of the best model selection criterion claimed in the recent literature, for all performed simulations.
dc.identifier.doi10.1016/j.advengsoft.2009.04.004
dc.identifier.endpage1190en_US
dc.identifier.issn0965-9978
dc.identifier.issue11en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage1183en_US
dc.identifier.urihttps://doi.org/10.1016/j.advengsoft.2009.04.004
dc.identifier.urihttps://hdl.handle.net/20.500.12451/5582
dc.identifier.volume40en_US
dc.identifier.wosWOS:000269322200012
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAdvances in Engineering Software
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFluid Mechanics
dc.subjectTurbulent Flow
dc.subjectC-W Friction Factor
dc.subjectMoody's Diagram
dc.subjectClosed Form Solution
dc.subjectExplicit Scheme
dc.subjectAnalysis
dc.subjectExcel Spreadsheet
dc.subjectTechdig 2.0 Software
dc.titleComputer-based analysis of explicit approximations to the implicit Colebrook-White equation in turbulent flow friction factor calculation
dc.typeArticle

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