{"title":"Explicit pipe friction factor equations: evaluation, classification, and proposal","authors":"Maiquel López-Silva, Dayma Sadami Carmenates-Hernández, Nancy Delgado-Hernández, Nataly Chunga-Bereche","doi":"10.17533/udea.redin.20230928","DOIUrl":null,"url":null,"abstract":"The Colebrook equation has been used to estimate the friction factor (f) in turbulent fluids. In this regard, many equations have been proposed to eliminate the iterative process of the Colebrook equation. The goal of this article was to perform an evaluation, classification, and proposal of the friction factor for better development of hydraulic projects. In this study, Gene Expression Programming (GEP), Newton-Raphson, and Python algorithms were applied. The accuracy and model selection were performed with the Maximum Relative Error (∆f/f), Percentage Standard Deviation (PSD), Model Selection Criterion (MSC), and Akaike Information Criterion (AIC). Of the 30 equations evaluated, the Vatankhah equation was the most accurate and simplest to obtain the friction factor with a classification of very high, reaching a value of ∆f/f<0.5% and 1.5<PSD<1.6. A new equation was formulated to obtain the explicit f with fast convergence and accuracy. It was concluded that the combination of GEP, error theory, and selection criteria provides a more reliable and strengthened model.","PeriodicalId":21428,"journal":{"name":"Revista Facultad De Ingenieria-universidad De Antioquia","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Facultad De Ingenieria-universidad De Antioquia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17533/udea.redin.20230928","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The Colebrook equation has been used to estimate the friction factor (f) in turbulent fluids. In this regard, many equations have been proposed to eliminate the iterative process of the Colebrook equation. The goal of this article was to perform an evaluation, classification, and proposal of the friction factor for better development of hydraulic projects. In this study, Gene Expression Programming (GEP), Newton-Raphson, and Python algorithms were applied. The accuracy and model selection were performed with the Maximum Relative Error (∆f/f), Percentage Standard Deviation (PSD), Model Selection Criterion (MSC), and Akaike Information Criterion (AIC). Of the 30 equations evaluated, the Vatankhah equation was the most accurate and simplest to obtain the friction factor with a classification of very high, reaching a value of ∆f/f<0.5% and 1.5
期刊介绍:
Revista Facultad de Ingenieria started in 1984 and is a publication of the School of Engineering at the University of Antioquia.
The main objective of the journal is to promote and stimulate the publishing of national and international scientific research results. The journal publishes original articles, resulting from scientific research, experimental and or simulation studies in engineering sciences, technology, and similar disciplines (Electronics, Telecommunications, Bioengineering, Biotechnology, Electrical, Computer Science, Mechanical, Chemical, Environmental, Materials, Sanitary, Civil and Industrial Engineering).
In exceptional cases, the journal will publish insightful articles related to current important subjects, or revision articles representing a significant contribution to the contextualization of the state of the art in a known relevant topic. Case reports will only be published when those cases are related to studies in which the validity of a methodology is being proven for the first time, or when a significant contribution to the knowledge of an unexplored system can be proven.
All published articles have undergone a peer review process, carried out by experts recognized for their knowledge and contributions to the relevant field.
To adapt the Journal to international standards and to promote the visibility of the published articles; and therefore, to have a greater impact in the global academic community, after November 1st 2013, the journal will accept only manuscripts written in English for reviewing and publication.
Revista Facultad de Ingeniería –redin is entirely financed by University of Antioquia
Since 2015, every article accepted for publication in the journal is assigned a DOI number.