Explicit pipe friction factor equations: evaluation, classification, and proposal

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 fri...

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Bibliographic Details
Published in:Revista Facultad de Ingeniería 2024-04 (111), p.38-47
Main Authors: López-Silva, Maiquel, Carmenates-Hernández, Dayma Sadami, Delgado-Hernández, Nancy, Chunga-Bereche, Nataly
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Approximation
Artificial intelligence
Classification
Colebrook equation
Control algorithms
Criteria
Errors
Fluid flow
Friction
Friction factor
Gene expression
Hydraulics
Neural networks
Newton-Raphson method
relative roughness
Reynolds number
Turbulent flow
turbulent fluid
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Summary: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
ISSN:0120-6230
2422-2844
DOI:10.17533/udea.redin.20230928