1
Evaluation Optimal Friction Factor Correlation in
Turbulent Pipe Flow by Genetic Algorithm
Qais Abid Yousif
1
, Omar Rafae Alomar
1
, Ibrahim Atiya Mohamed
1
, Majid Kh. Najm
1
(kaisyusuf@ntu.edu.iq, omar.alomar@ntu.edu.iq, ibams_1962@ntu.edu.iq, dr.majid.najim@ntu.edu.iq)
1
Northern Technical University, Engineering Technical College of Mosul, Cultural Group Street,
Mosul, Iraq
Abstract. The prediction accuracies of friction factor correlations in turbulent pipe flow
have remained unsatisfactory due to Colebrook equation is characterized as an implicit
correlation. Thus, this works deals with numerical simulation for optimization the
correlation of friction factor (fD) in turbulent pipe flow. Genetic Algorithms (GAs) method
has been used to evaluate the accuracy of six most used explicit models as an alternative
to the Colebrook equation. The fD has been estimated for higher ranges of Reynolds
Number (Re) and the relative roughness of pipe ( ⁄ ). The evaluation process has been
implemented through comparing the percentage of differences between the values of fD
obtained using those correlations with that obtained using Colebrook equation. The
optimized results clearly show that the Model-1 and Model-5 provide the lowest
percentage of difference as compared to the other explicit models. Results indicated that
GAs has succeeded in reducing the computational time by eliminating the iterative process.
Keywords: Colebrook equation, friction factor, genetic algorithms.
1. Introduction
Despite the great scientific progress that has been made in computer systems and the
multiplicity of mathematical methods and programs developed, but still, the Colebrook equation
is used in the evaluation of the coefficient of friction [1]. Although the accuracy of Colebrook
equation is debatable, it is occasionally necessary to achieve an accurate solution of this equation
extremely important for the scientific calculations and frequently for comparisons [2]. Various
techniques have been utilized either to compute or to appraise the friction factor precisely. The
greater part of recent efforts has been utilized Genetic Algorithms (GAs) and Artificial Neural
Network method (ANN) for computing friction factor [3]. However, the use of GAs in the area
of heat transfer is very newfangled. This is perhaps due to the computational time needed to
reach the final solutions is too long. Recently, the GAs has been increasingly used in heat
transfer problems. In 1994, Queipo et al. [4] have expected that the heat transfer community
will witness considerable attention for involving new methods such as techniques (i.e. GAs) in
many intricate thermo-science problems that confessing optimization. One that has helped to
facilitate the use of these exciting technologies in the development of high-performance
computing devices, which has increased interest in their use in the field of heat transfer. The
IMDC-SDSP 2020, June 28-30, Cyberspace
Copyright © 2020 EAI
DOI 10.4108/eai.28-6-2020.2297927