Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function
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- Dejan Brkić, 2011. "Iterative Methods for Looped Network Pipeline Calculation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(12), pages 2951-2987, September.
- Praks, Pavel & Kopustinskas, Vytis & Masera, Marcelo, 2015. "Probabilistic modelling of security of supply in gas networks and evaluation of new infrastructure," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 254-264.
- Brkic, Dejan, 2009. "An improvement of Hardy Cross method applied on looped spatial natural gas distribution networks," Applied Energy, Elsevier, vol. 86(7-8), pages 1290-1300, July.
- Barry, D.A & Parlange, J.-Y & Li, L & Prommer, H & Cunningham, C.J & Stagnitti, F, 2000. "Analytical approximations for real values of the Lambert W-function," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(1), pages 95-103.
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- Su, Lingqi & Nie, Ting & On Ho, Chi & Yang, Zheng & Calvez, Philippe & Jain, Rishee K. & Schwegler, Ben, 2022. "Optimizing pipe network design and central plant positioning of district heating and cooling System: A Graph-Based Multi-Objective genetic algorithm approach," Applied Energy, Elsevier, vol. 325(C).
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Keywords
Colebrook equation; hydraulic resistance; Lambert W -function; Wright ω-function; explicit approximations; computational burden; turbulent flow; friction factor;All these keywords.
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