Evaluation of Flow Resistance in Smooth Rectangular Open Channels with Modified Prandtl Friction Law
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 137, Issue 4
Abstract
Flow resistance in open channels is usually estimated by applying the approach that is developed originally for pipe flows. Such estimates may be useful for engineering applications but always differ from measurements to some extent. This paper first summarizes empirical approaches that have been proposed in the literature to reconcile the resistance difference. These include various modifications of the pipe friction for applications to rectangular ducts and open channel flows. An improved friction equation is then derived for evaluating flow resistance of smooth rectangular open channels. Comparisons are made with experimental data reported by previous researchers and those collected in the present study. It is shown that the new proposed equation is applicable for both narrow and wide channels and is more accurate than those available in the literature.
Get full access to this article
View all available purchase options and get full access to this article.
References
Adachi, S. (1962). “The effect of side walls in rectangular cross sectional channel.” Trans. Am. Soc. Civ. Eng., 82, 17–26.
De Cacqueray, N., Hargreaves, D. M., and Morvan, H. P. (2009). “A computational study of shear stress in smooth rectangular channels.” J. Hydraul. Res., 47(1), 50–57.
Haaland, S. E. (1983). “Simple and explicit formulas for the friction factor in turbulent pipe-flow.” J. Fluids Eng., 105(1), 89–90.
Jones, O. C. J. (1976). “An improvement in the calculation of turbulent friction in rectangular ducts.” J. Fluids Eng., 98, 173–180.
Kazemipour, A. K., and Apelt, C. J. (1979). “Shape effects on resistance to uniform flow in open channels.” J. Hydraul. Res., 17(2), 129–147.
Keulegan, G. H. (1938). “Laws of turbulent flow in open channels.” J. Res. Natl. Bur. Stand., 21, 707–741.
Knight, D. W. (1984). “Boundary shear in smooth rectangular channels.” J. Hydraul. Eng., 110(4), 405–422.
Linstrom, P. J., and Mallard, W. G. (2005). “Thermophysical properties of fluid systems.” NIST standard reference database No. 69, National Institute of Standards and Technology, Gaithersburg, MD, 〈http://webbook.nist.gov〉.
McKeon, B. J., Zagarola, M. V., and Smits, A. J. (2005). “A new friction factor relationship for fully developed pipe flow.” J. Fluid Mech., 538, 429–443.
Montes, S. (1998). Hydraulics of open channel flow, ASCE, Reston, VA.
Myers, W. R. C. (1982). “Flow resistance in wide rectangular channels.” J. Hydraul. Div., 108(4), 471–482.
Nikuradse, J. (1933). “Stromungsgesetze in rauhen Rohren.” Forschung auf dem Gebiete des Ingenieurwesens, Forschungsheft 361. VDI Verlag, Berlin.
Obot, N. T. (1988). “Detremination of incompressible flow friction in smooth circular and noncircular passages: A general approach including validation of the nearly century old hydraulic diameter concept.” J. Fluids Eng., 110, 431–440.
Pillai, N. N. (1997). “Effect of shape on uniform flow through smooth rectangular open channels.” J. Hydraul. Eng., 123(7), 656–658.
Reinius, E. (1961). “Steady uniform flow in open channels.” Bulletin 60. Division of Hydraulics, Royal Institute of Technology, Stockholm, Sweden.
Schlichting, H. (1979). Boundary-layer theory, 7th Ed., McGraw-Hill, New York.
Shih, C. C., and Grigg, N. S. (1967). “A reconsideration of the hydraulic radius as a geometric quantity in open channel hydraulics.” Proc. of 12th Congress, IAHR, 288–296.
Tracy, H. J., and Lester, C. M. (1961). “Resistance coefficients and velocity distribution, smooth rectangular channel.” Paper No. 1592-A, Geological Survey Water-Supply.
Wang, Z. Q., and Cheng, N. S. (2006). “Time-mean structure of secondary flows in open channel with longitudinal bedforms.” Adv. Water Resour., 29(11), 1634–1649.
Yang, S. Q., and Lim, S. Y. (1997). “Mechanism of energy transportation and turbulent flow in a 3D channel.” J. Hydraul. Eng., 123(8), 684–692.
Yen, B. C. (2002). “Open channel flow resistance.” J. Hydraul. Eng., 128(1), 20–39.
Information & Authors
Information
Published In
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Jan 8, 2010
Accepted: Aug 18, 2010
Published online: Dec 9, 2010
Published in print: Apr 1, 2011
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.