Discussion of “Modified Hazen–Williams and Darcy–Weisbach Equations for Friction and Local Head Losses along Irrigation Laterals” by John D. Valiantzas
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Irrigation and Drainage Engineering
Volume 133, Issue 4
0733-9437(2007)133:4(417)/asset/ce716cff-f5b0-4c7d-8513-1f99647d9781/assets/(asce)0733-9437(2007)133:4(417).fp.png)
Get full access to this article
View all available purchase options and get full access to this article.
References
Abe, K., Kondoh, T., and Nagano, Y. (1994). “A new turbulence model for predicting fluid flow and heat transfer in separating and reattaching flows-I. Flow field calculations.” Int. J. Heat Mass Transfer, 37(1), 139–151.
Bagarello, V., Ferro, V., Provenzano, G., and Pumo, D. (1995). “Experimental study on flow-resistance law for small-diameter plastic pipes.” J. Irrig. Drain. Eng., 121(5), 313–316.
Bagarello, V., and Pumo, D. (1992). “Lateral line hydraulics in drip irrigation systems.” Proc., 16th ICID European Regional Conf., Budapest, Hungary.
Barr, D. I. H. (1972). “New forms of equations for the correlation of pipe resistance data.” Proc., Inst. Civil Engineering, Tech. Note 72, 53, 383–390.
Chen, J. J. J. (1985). “Systematic explicit solutions of Prandtl and Colebrook-White equations for pipe flow.” Proc., Inst. Civil Engineering., Part. 2, Tech. Note 431, 79, 383–389.
Diskin, M. H. (1960). “The limits of applicability of the Hazen Williams formula.” La Houille Blanche, (6), 720–723.
FLUENT. (2001). Users’ manual version 6.1, Fluent Europe Ltd, Sheffield, U.K.
Haaland, S. E. (1983). “Simple and explicit formulas for the friction factor in turbulent pipe flow.” J. Fluids Eng. Trans. ASME, 81(2), 123–133.
Hof, B., et al. (2004). “An experimental observation of travelling waves in pipe flow.” Science, 305, 1594–1597.
Hughes, T. C., and Jeppson, R. W. (1978). “Hydraulic Friction loss in small diameter plastic pipelines.” Water Resour. Bull., 14(5), 1159–1166.
Kamand, F. Z. (1988). “Hydraulic friction factors for pipe flow.” J. Irrig. Drain. Eng., 114(2), 311–323.
Liou, C. P. (1998). “Limitations and proper use of the Hazen–Williams equation.” J. Hydraul. Eng., 124(9), 951–954.
McEnroe, B. M. (1989). “Discussion of ‘Hydraulic Friction factors for pipe flow’ by Fadi Z. Kamand.” J. Irrig. Drain. Eng., 115(5), 915–915.
Palau Salvador, G., Arviza Valverde, J., Gonzàlez-Altozano, P., Royuela Tomas, A., and Provenzano, G. (2004). “Evaluating pressure losses in drip irrigation laterals using computational fluid dynamic techniques (CFD).” Proc., Eur Ageng Conf., Leuven, Belgium, 12–14 (Sept.).
Parchomchuk, P. (1976). “Temperature effects on emitter discharge rates.” Trans. ASAE, 19(4), 690–692.
Potter, M. C., and Wiggert, D. C. (1997). Mechanic of fluids, 2nd Ed., Prentice-Hall, Englewood Cliffs, N.J., 526–528.
Prandtl, L. (1935). “The mechanics of viscous fluid. In V.F. durand.” Aerodynamic Theory, III, 142.
Provenzano, G., Di Dio, P., Pumo, D., Palau Salvador, G., and Arviza Valverde, J. (2004). “Assessing a Computational Fluid Dynamics Technique (CFD) to evaluate pressure losses in co-extruded drip laterals.” Proc., ASAE Annual Int. Meeting.
Reichardt, H. (1940). “Die Wärmeübertragung in turbulenten Reibungsschichten.” ZAMM, 20, 297–328.
Schlichting, H. (1979). Boundary layer theory, McGraw-Hill, New York.
Street, R. L., Watters, G. Z., and Vennard, J. K. (1996). Elementary fluid mechanics, 7th Ed., Wiley, New York, 353–356.
Swamee, P. K., and Jain, A. K. (1976). “Explicit equations for pipe-flow problems.” J. Hydr. Div., 102(5), 657–664.
Terzidis, G. (1992). “Discussion of ‘Simple and accurate friction loss equation for plastic pipe’ by R. D. von Bernuth.” J. Irrig. Drain. Eng., 118(3), 501–504.
Veersteg, H. K., and Malalasekera, W. (1995). An introduction to computational fluid dynamics. The finite volume method, Longman.
Vennard, J. K. (1961). Elementary fluid mechanics, 4th Ed., Wiley, New York, 303–304.
von Bernuth, R. D. (1989). “Discussion of ‘Hydraulic Friction factors for pipe flow’ by Fadi Z. Kamand.” J. Irrig. Drain. Eng., 115(5), 916–918.
von Bernuth, R. D. (1990). “Simple and accurate friction loss equation for plastic pipe.” J. Irrig. Drain. Eng., 116(2), 294–298.
von Bernuth, R. D., and Wilson, T. (1989). “Friction factors for small diameter plastic pipes.” J. Hydraul. Eng., 115(2), 183–192.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 133 • Issue 4 • August 2007
Pages: 417 - 420
Copyright
© 2007 ASCE.
History
Published online: Aug 1, 2007
Published in print: Aug 2007
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.