Intelligent Flow Friction Estimation

Nowadays, the Colebrook equation is used as a mostly accepted relation for the calculation of fluid flow friction factor. However, the Colebrook equation is implicit with respect to the friction factor (λ). In the present study, a noniterative approach using Artificial Neural Network (ANN) was devel...

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Main Authors: Dejan Brkić, Žarko Ćojbašić
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Computational Intelligence and Neuroscience
Online Access:http://dx.doi.org/10.1155/2016/5242596
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spelling doaj-1ff725df87994a429f58c41475f3406c2020-11-25T00:24:12ZengHindawi LimitedComputational Intelligence and Neuroscience1687-52651687-52732016-01-01201610.1155/2016/52425965242596Intelligent Flow Friction EstimationDejan Brkić0Žarko Ćojbašić1European Commission, DG Joint Research Centre (JRC), Institute for Energy and Transport (IET), Energy Security, Systems and Market Unit, Via Enrico Fermi 2749, 21027 Ispra, ItalyFaculty of Mechanical Engineering in Niš, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, SerbiaNowadays, the Colebrook equation is used as a mostly accepted relation for the calculation of fluid flow friction factor. However, the Colebrook equation is implicit with respect to the friction factor (λ). In the present study, a noniterative approach using Artificial Neural Network (ANN) was developed to calculate the friction factor. To configure the ANN model, the input parameters of the Reynolds Number (Re) and the relative roughness of pipe (ε/D) were transformed to logarithmic scales. The 90,000 sets of data were fed to the ANN model involving three layers: input, hidden, and output layers with, 2, 50, and 1 neurons, respectively. This configuration was capable of predicting the values of friction factor in the Colebrook equation for any given values of the Reynolds number (Re) and the relative roughness (ε/D) ranging between 5000 and 108 and between 10−7 and 0.1, respectively. The proposed ANN demonstrates the relative error up to 0.07% which had the high accuracy compared with the vast majority of the precise explicit approximations of the Colebrook equation.http://dx.doi.org/10.1155/2016/5242596
collection DOAJ
language English
format Article
sources DOAJ
author Dejan Brkić
Žarko Ćojbašić
spellingShingle Dejan Brkić
Žarko Ćojbašić
Intelligent Flow Friction Estimation
Computational Intelligence and Neuroscience
author_facet Dejan Brkić
Žarko Ćojbašić
author_sort Dejan Brkić
title Intelligent Flow Friction Estimation
title_short Intelligent Flow Friction Estimation
title_full Intelligent Flow Friction Estimation
title_fullStr Intelligent Flow Friction Estimation
title_full_unstemmed Intelligent Flow Friction Estimation
title_sort intelligent flow friction estimation
publisher Hindawi Limited
series Computational Intelligence and Neuroscience
issn 1687-5265
1687-5273
publishDate 2016-01-01
description Nowadays, the Colebrook equation is used as a mostly accepted relation for the calculation of fluid flow friction factor. However, the Colebrook equation is implicit with respect to the friction factor (λ). In the present study, a noniterative approach using Artificial Neural Network (ANN) was developed to calculate the friction factor. To configure the ANN model, the input parameters of the Reynolds Number (Re) and the relative roughness of pipe (ε/D) were transformed to logarithmic scales. The 90,000 sets of data were fed to the ANN model involving three layers: input, hidden, and output layers with, 2, 50, and 1 neurons, respectively. This configuration was capable of predicting the values of friction factor in the Colebrook equation for any given values of the Reynolds number (Re) and the relative roughness (ε/D) ranging between 5000 and 108 and between 10−7 and 0.1, respectively. The proposed ANN demonstrates the relative error up to 0.07% which had the high accuracy compared with the vast majority of the precise explicit approximations of the Colebrook equation.
url http://dx.doi.org/10.1155/2016/5242596
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