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Cited by 64 publications
(32 citation statements)
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“…A sudden failure of valves or other components, either related to hydraulic systems in civil and mechanical engineering [35][36][37], can cause also change of flow regime. Because of that it is very important to take into consideration also such cases.…”
Section: Discussionmentioning
confidence: 99%
“…A sudden failure of valves or other components, either related to hydraulic systems in civil and mechanical engineering [35][36][37], can cause also change of flow regime. Because of that it is very important to take into consideration also such cases.…”
Section: Discussionmentioning
confidence: 99%
“…Evaluation of hydraulic resistance, i.e. computation of flow friction factor, λ is one of the main tasks encountered in engineering practice wherever flow of fluid through closed conduits occur [43,44]. Up to now, the empirical Colebrook Equation (1) which is implicitly given by a flow friction factor, λ is still accepted as an informal standard after 80 years.…”
Section: Resultsmentioning
confidence: 99%
“…This approach with acceleration is widely used in development of approximations of the Colebrook equation [37][38][39][40][41][42]. The error can be further reduced by using one more accelerating step as shown, or using genetic algorithms [25,29,36], Excel fitting tool [27] or the Monte Carlo method [43,44].…”
Section: (2a)mentioning
confidence: 99%
“…The procedure proposed in this paper can significantly reduce the computational burden for evaluating complex distribution networks with various applications (water, gas) (Brkić 2009, Brkić 2011a, Praks et al 2015, Praks et al 2017, Brkić 2016. For example, a probabilistic approach using time dependent modeling of distribution or transmission networks requires many millions of evaluations of Colebrook's equation, which means that it is not a computationally cheap task at all.…”
Section: Discussionmentioning
confidence: 99%
“…Numerous evaluations of flow friction factor such as in the case of complex networks of pipes pose extensive burden for computers, so not only an accurate but also a simplified solution is required. Calculation of complex water or gas distribution networks (Brkić 2009, Brkić 2011ab, Praks et al 2015, Praks et al 2017 which requires few evaluations of logarithmic function for each pipe, presents a significant and extensive burden which available computer resources hardly can easily manage (Clamond 2009, Giustolisi et al 2011, Danish et al 2011, Winning and Coole 2013, Vatankhah 2018. The Colebrook equation is based on logarithmic law where the unknown flow friction factor is given implicitly, i.e., it appears on both sides of Equation (1) in form , from which it cannot be extracted analytically; an exception is through the Lambert -function (Keady 1998, Sonnad and Goudar 2004, Brkić 2011cd, Brkić 2012ab, Biberg 2017, Brkić 2017a.…”
Section: Introductionmentioning
confidence: 99%