Use of a Smoothed Model for Pipe Friction Loss
Publication: Journal of Hydraulic Engineering
Volume 143, Issue 1
Abstract
This note examines a globally smooth approximation for friction loss in pipelines suggested by Burgschweiger et al. The approximation contains five parameters, two of which are open to selection. A method is provided for choosing these based on laminar conditions near zero flow. Using the proposed approach, approximation accuracy is reported in terms of relative roughness and Reynolds number.
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References
Bragalli, C., Ambrosio, C. D., Lee, J., Lodi, A., and Toth, P. (2012). “On the optimal design of water distribution networks: A practical MINLP approach.” Optim. Eng., 13(2), 219–246.
Burgschweiger, J., Gnädig, B., and Steinbach, M. (2009). “Optimization models for operative planning in drinking water networks.” Optim. Eng., 10(1), 43–73.
Eck, B. J., and Mevissen, M. (2015). “Quadratic approximations for pipe friction.” J. Hydroinf., 17(3), 462–472.
Ghaddar, B., Naoum-Sawaya, J., Kishimoto, A., Taheri, N., and Eck, B. (2015). “A lagrangian decomposition approach for the pump scheduling problem in water networks.” Eur. J. Oper. Res., 241(2), 490–501.
Giustolisi, O., Berardi, L., and Walski, T. M. (2011). “Some explicit formulations of Colebrook-White friction factor considering accuracy versus computational speed.” J. Hydroinf., 13(3), 401–418.
Gleixner, A., Held, H., Huang, W., and Vigerske, S. (2012). “Towards globally optimal operation of water supply networks.” Numer. Algebra Control Optim., 2(4), 695–711.
Kreyszig, E. (1999). Advanced engineering mathematics, 8th Ed., Wiley, New York.
Moody, L. F. (1944). “Friction factors for pipe flow.” Trans. ASME, 66(8), 671–678.
R version 3.0.2 [Computer software]. R Core Team, Vienna, Austria.
Vairavamoorthy, K., and Lumbers, J. (1998). “Leakage reduction in water distribution systems: Optimal valve control.” J. Hydraul. Eng., 1146–1154.
Valiantzas, J. D. (2008). “Explicit power formula for the Darcy-Weisbach pipe flow equation: Application in optimal pipeline design.” J. Irrig. Drain. Eng., 454–461.
White, F. M. (1999). Fluid mechanics, 4th Ed., McGraw-Hill, New York.
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© 2016 American Society of Civil Engineers.
History
Received: Sep 24, 2015
Accepted: Jul 5, 2016
Published online: Aug 30, 2016
Published in print: Jan 1, 2017
Discussion open until: Jan 30, 2017
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