Determination of Boundary Shear Stress and Reynolds Shear Stress in Smooth Rectangular Channel Flows
Publication: Journal of Hydraulic Engineering
Volume 130, Issue 5
Abstract
A method for computing three-dimensional Reynolds shear stresses and boundary shear stress distribution in smooth rectangular channels is developed by applying an order of magnitude analysis to integrate the Reynolds equations. A simplified relationship between the lateral and vertical terms is hypothesized for which the Reynolds equations become solvable. This relationship has the form of a power law with an exponent of 2, or infinity. The semiempirical equations for the boundary shear distribution and the distribution of Reynolds shear stresses are compared with measured data in open channels. The power-law exponent of 2 gave the best overall results while n=infinity gave good results near the boundary.
Get full access to this article
View all available purchase options and get full access to this article.
References
Guo, J., and Julien, P. Y. (2002). “Boundary shear stress in smooth rectangular open channels.” Proc., 13th Int. Association of Hydraulic Research, APD Congress, Singapore, Vol. 1, 76–86.
Imamoto, H., and Ishigaki, T. (1988). “Measurement of secondary flow in an open channel.” Proc., 6th Int. Association of Hydraulic Research, APD Congress, Kyoto, Japan, 513–520.
Knight, D. W.(1981). “Boundary shear in smooth and rough channels.” J. Hydraul. Div., Am. Soc. Civ. Eng., 107(7), 839–851.
Knight, D. W., Demetriou, J. D., and Hamed, M. E.(1984). “Boundary shear in smooth rectangular channels.” J. Hydraul. Eng., 110(4), 405–422.
Knight, D. W., and Patel, H. S.(1985). “Boundary shear in smooth rectangular ducts.” J. Hydraul. Eng., 111(1), 29–47.
Melling, A., and Whitelaw, J. H.(1976). “Turbulent flow in a rectangular duct.” J. Fluid Mech., 78(2), 289–315.
Rhodes, D. G., and Knight, D. W.(1994). “Distribution of shear force on boundary of smooth rectangular duct.” J. Hydraul. Eng., 120(7), 787–807.
Sterling, M., and Knight, D. W. (2002). “An attempt at using the entropy approach to predict the transverse distribution of boundary shear stress in open channel flow.” Stochastic Environmental Research Risk Assessment, 16(2), 127–142.
Tracy, H. J.(1965). “Turbulent flow in a three-dimensional channel.” J. Hydraul. Div., Am. Soc. Civ. Eng., 91(9), 9–35.
Yang, S.-Q. (1993). “The law of boundary shear in rectangular open channels.” J. Sediment Res., Beijing (3), 95–103 (in Chinese).
Yang, S.-Q. (1996). “Interactions of boundary shear stress, velocity distribution, and flow resistance in 3D open channels.” PhD dissertation, Nanyang Technological Univ., Singapore.
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.
Yang, S.-Q., and Lim, S.-Y.(1998). “Boundary shear stress distribution in smooth rectangular open channel flows.” Proc., Inst. Civ. Eng., Waters. Maritime Energ., 130(9), 163–173.
Yang, S.-Q. (2002). “First- and second-order approximate solutions of Reynolds equations in 3D channels.” Proc., 13th Int. Association of Hydraulic Research, APD Congress, Singapore, Vol. 1, 70–75.
Zheng, Y., and Jin, Y. C.(1998). “Boundary shear in rectangular ducts and channels.” J. Hydraul. Eng., 124(1), 86–89.
Information & Authors
Information
Published In
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: May 20, 2002
Accepted: Oct 30, 2003
Published online: Apr 15, 2004
Published in print: May 2004
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.