Review of new flow friction equations: Constructing Colebrook's explicit correlations accurately
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F20%3A10246479" target="_blank" >RIV/61989100:27740/20:10246479 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.23967/j.rimni.2020.09.001" target="_blank" >https://doi.org/10.23967/j.rimni.2020.09.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.23967/j.rimni.2020.09.001" target="_blank" >10.23967/j.rimni.2020.09.001</a>
Alternative languages
Result language
angličtina
Original language name
Review of new flow friction equations: Constructing Colebrook's explicit correlations accurately
Original language description
Using only a limited number of computationally expensive functions, we show a way how to construct accurate and computationally efficient approximations of the Colebrook equation for flow friction based on the asymptotic series expansion of the Wright w-function and on symbolic regression. The results are verified with 8 million of Quasi-Monte Carlo points covering the domain of interest for engineers. In comparison with the built-in "wrightOmega" feature of Matlab R2016a, the herein introduced related approximations of the Wright omega-function significantly accelerate the explicit solution of the Colebrook equation. Such balance between speed and accuracy could be achieved only using symbolic regression, a computational intelligence approach that can find optimal coefficients and the best structure of the equation. The presented numerical experiments show that the novel symbolic regression approximation reduced the maximal relative error from 0.045% to 0.00337%, i.e. more than 13 times, even the complexity remains almost unchanged. Moreover, we also provide a novel highly precise symbolic regression approximation (max. relative error 0.000024%), which, for the same speed as asymptotic expansion, reduces the relative error by factor 219. This research is motivated by estimation of flow rate using electrical parameters of pumps where direct measurement is not always possible such as in offshore underwater pipelines.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10100 - Mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria
ISSN
0213-1315
e-ISSN
—
Volume of the periodical
36
Issue of the periodical within the volume
3
Country of publishing house
ES - SPAIN
Number of pages
8
Pages from-to
—
UT code for WoS article
000595371000003
EID of the result in the Scopus database
—