Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification

The Colebrook –white equation is widely used in many fields, like civil engineering for calculation of water distribution systems and in all fields of engineering where fluid flow can be occurred. Numerous formulas have been proposed since 1947 in order to simplify the computation of the friction fa...

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Main Authors: Lotfi Zeghadnia, Jean Loup Robert, Bachir Achour
Format: Article
Language:English
Published: Elsevier 2019-03-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447919300176
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spelling doaj-669ab57d3dab475a894750766de9371e2021-06-02T06:01:36ZengElsevierAin Shams Engineering Journal2090-44792019-03-01101243252Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classificationLotfi Zeghadnia0Jean Loup Robert1Bachir Achour2Department of Civil Engineering, Faculty of Sciences and Technologies, University of Mohamed Cherif Messaadia, Souk Ahras, Algeria; Corresponding author at: Senior Lecturer, Department of Civil Engineering, Faculty of Sciences and Technologies, Laboratory of sciences and techniques in water and environment, University of Mohamed Cherif Messaadia, Souk Ahras, AlgeriaDepartment of Civil Engineering, Faculty of Science and Engineering, University of Laval, QC, Canada G1V0A6Research Laboratory in Subterranean and Surface Hydraulics (LARHYSS), University of Biskra, PO Box 145, 07000 Biskra, AlgeriaThe Colebrook –white equation is widely used in many fields, like civil engineering for calculation of water distribution systems and in all fields of engineering where fluid flow can be occurred. Numerous formulas have been proposed since 1947 in order to simplify the computation of the friction factor, to avoid the iterative procedures methods and to alter the Colebrook-white equation in practice. most of the existing explicit formulas for computation of the friction factor for turbulent flow in rough pipes proposed are cited, where thirty three “33” equations have been inventoried. The goal of this paper is to assess the accuracy of each model and to propose an arrangement from the best to the lower accuracy according to a proposed method combined of three criteria which are: simplicity of the formula, maximum deviations and the coverage of the entire range of Moody diagram. Keywords: Friction factor, Explicit solutions, Moody diagram, Maximum deviation, Turbulent flowhttp://www.sciencedirect.com/science/article/pii/S2090447919300176
collection DOAJ
language English
format Article
sources DOAJ
author Lotfi Zeghadnia
Jean Loup Robert
Bachir Achour
spellingShingle Lotfi Zeghadnia
Jean Loup Robert
Bachir Achour
Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification
Ain Shams Engineering Journal
author_facet Lotfi Zeghadnia
Jean Loup Robert
Bachir Achour
author_sort Lotfi Zeghadnia
title Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification
title_short Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification
title_full Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification
title_fullStr Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification
title_full_unstemmed Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification
title_sort explicit solutions for turbulent flow friction factor: a review, assessment and approaches classification
publisher Elsevier
series Ain Shams Engineering Journal
issn 2090-4479
publishDate 2019-03-01
description The Colebrook –white equation is widely used in many fields, like civil engineering for calculation of water distribution systems and in all fields of engineering where fluid flow can be occurred. Numerous formulas have been proposed since 1947 in order to simplify the computation of the friction factor, to avoid the iterative procedures methods and to alter the Colebrook-white equation in practice. most of the existing explicit formulas for computation of the friction factor for turbulent flow in rough pipes proposed are cited, where thirty three “33” equations have been inventoried. The goal of this paper is to assess the accuracy of each model and to propose an arrangement from the best to the lower accuracy according to a proposed method combined of three criteria which are: simplicity of the formula, maximum deviations and the coverage of the entire range of Moody diagram. Keywords: Friction factor, Explicit solutions, Moody diagram, Maximum deviation, Turbulent flow
url http://www.sciencedirect.com/science/article/pii/S2090447919300176
work_keys_str_mv AT lotfizeghadnia explicitsolutionsforturbulentflowfrictionfactorareviewassessmentandapproachesclassification
AT jeanlouprobert explicitsolutionsforturbulentflowfrictionfactorareviewassessmentandapproachesclassification
AT bachirachour explicitsolutionsforturbulentflowfrictionfactorareviewassessmentandapproachesclassification
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