Improved explicit equations for estimation of the friction factor in rough and smooth pipes

By E. Romeo, C. Royo, A. Monzón. 2002

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Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification (2019, methodology): “To refine the list of the best formula, the third criterion of simplicity should be taken into account where according to the Table 3 the formulas of the authors: Zigrang and Sylvester [37], Romeo [42], Vatankhah [51], Cojbasic et al.”
A mathematical framework for modelling and evaluating natural gas pipeline networks under hydrogen injection (2008, background): “The friction factor is estimated from Romeo et al. (2002). The momentum balance in terms of pressure and throughput can be written in the form of the following equation:”
A review of explicit approximations of Colebrook's equation (2011, background): “05) with a much lesser number of points (about 500 points in [20], 1000 points in [21], 10000 points in [5] and [22], 740 points in the recent one [7]).”
Explicit Friction Factor Accuracy and Computational Efficiency for Turbulent Flow in Pipes (2013, methodology): “[25] in 2002, used the Model Selection Criterion (MSC) and the Akaike Information Criterion (AIC) to perform a statistical comparison of the relative computational efficiency.”