Discussion of “Friction Modeling of Flood Flow Simulations” by Vasilis Bellos, Ioannis Nalbantis, and George Tsakiris
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Acknowledgments
Part of the research is funded from Project iii44006 of the Ministry of Education, Science and Technological Development of the Republic of Serbia, by the Ministry of Education, Youth and Sports of the Czech Republic through the National Programme of Sustainability (NPS II) Project “IT4Innovations excellence in science-LQ1602” and from Projects “National Centre for Energy” TN01000007 and “Energy System for Grids” TK02030039 of the Technology Agency of the Czech Republic. We also thank John Cawley from IT4Innovations National Supercomputing Center, who as a native speaker kindly checked the correctness of English expressions throughout the paper.
References
Belkić, D. 2019. “All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox–Wright function: Illustration for genome multiplicity in survival of irradiated cells.” J. Math. Chem. 57 (1): 59–106. https://doi.org/10.1007/s10910-018-0985-3.
Biberg, D. 2017. “Fast and accurate approximations for the Colebrook equation.” J. Fluids Eng. 139 (3): 031401. https://doi.org/10.1115/1.4034950.
Brkić, D. 2011. “Review of explicit approximations to the Colebrook relation for flow friction.” J. Pet. Sci. Eng. 77 (1): 34–48. https://doi.org/10.1016/j.petrol.2011.02.006.
Brkić, D. 2012. “Comparison of the Lambert W-function based solutions to the Colebrook equation.” Eng. Computations 29 (6): 617–630. https://doi.org/10.1108/02644401211246337.
Brkić, D. 2018. “Discussion of ‘Economics and statistical evaluations of using Microsoft Excel Solver in pipe network analysis’ by I. A. Oke, A. Ismail, S. Lukman, S. O. Ojo, O. O. Adeosun, and M. O. Nwude.” J. Pipeline Syst. Eng. Pract. 9 (3): 07018002. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000319.
Brkić, D., and P. Praks. 2018. “Unified friction formulation from laminar to fully rough turbulent flow.” Appl. Sci. 8 (11): 2036. https://doi.org/10.3390/app8112036.
Brkić, D., and P. Praks. 2019. “Accurate and efficient explicit approximations of the Colebrook flow friction equation based on the Wright-ω function.” Mathematics 7 (1): 34. https://doi.org/10.3390/math7010034.
Cheng, N.-S. 2008. “Formulas for friction factor in transitional regions.” J. Hydraul. Eng. 134 (9): 1357–1362. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:9(1357).
Clamond, D. 2009. “Efficient resolution of the Colebrook equation.” Ind. Eng. Chem. Res. 48 (7): 3665–3671. https://doi.org/10.1021/ie801626g.
Colebrook, C. F. 1939. “Turbulent flow in pipes with particular reference to the transition region between the smooth and rough pipe laws.” J. Inst. Civ. Eng. 11 (4): 133–156. https://doi.org/10.1680/ijoti.1939.13150.
Colebrook, C. F., and White, C. M., 1937. “Experiments with fluid friction in roughened pipes.” Proc. R. Soc. Lond. A, 161(906): 367-381. https://doi.org/10.1098/rspa.1937.0150.
Díaz-Damacillo, L., and G. Plascencia. 2019. “A new six parameter model to estimate the friction factor.” AlChE J. 65 (4): 1144–1148. https://doi.org/10.1002/aic.16535.
Goldberg, D. 1991. “What every computer scientist should know about floating-point arithmetic.” ACM Comput. Surv. 23 (1): 5–48. https://doi.org/10.1145/103162.103163.
Nikuradse, J. 1950. Laws of flow in rough pipes. Washington, DC: National Advisory Committee for Aeronautics.
Praks, P., and D. Brkić. 2018a. “Advanced iterative procedures for solving the implicit Colebrook equation for fluid flow friction.” Adv. Civ. Eng. 2018: 5451034. https://doi.org/10.1155/2018/5451034.
Praks, P., and D. Brkić. 2018b. “Choosing the optimal multi-point iterative method for the Colebrook flow friction equation.” Processes 6 (8): 130. https://doi.org/10.3390/pr6080130.
Praks, P., and D. Brkić. 2018c. “One-log call iterative solution of the Colebrook equation for flow friction based on Padé polynomials.” Energies 11 (7): 1825. https://doi.org/10.3390/en11071825.
Rollmann, P., and K. Spindler. 2015. “Explicit representation of the implicit Colebrook–White equation.” Case Stud. Therm. Eng. 5 (Mar): 41–47. https://doi.org/10.1016/j.csite.2014.12.001.
Sonnad, J. R., and C. T. Goudar. 2004. “Constraints for using Lambert function-based explicit Colebrook–White equation.” J. Hydraul. Eng. 130 (9): 929–931. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:9(929).
Swamee, P. K. 1993. “Design of a submarine oil pipeline.” J. Transp. Eng. 119 (1): 159–170. https://doi.org/10.1061/(ASCE)0733-947X(1993)119:1(159).
Swamee, P. K., and A. K. Jain. 1976. “Explicit equations for pipe-flow problems.” J. Hydraul. Div. 102 (5): 657–664.
Winning, H. K., and T. Coole. 2015. “Improved method of determining friction factor in pipes.” Int. J. Numer. Methods Heat Fluid Flow 25 (4): 941–949. https://doi.org/10.1108/HFF-06-2014-0173.
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Journal of Hydraulic Engineering
Volume 146 • Issue 5 • May 2020
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©2020 American Society of Civil Engineers.
History
Received: Dec 17, 2018
Accepted: Jun 11, 2019
Published online: Mar 16, 2020
Published in print: May 1, 2020
Discussion open until: Aug 16, 2020
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