Boundary Shear in Rectangular Ducts and Channels
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 1
Abstract
The development of the equation for the lateral distribution of boundary shear starts from a simplified streamwise vorticity equation which includes only the secondary Reynolds stress terms. Transverse anisotropy is modeled using a universal function. The effect of secondary flow on the boundary shear is incorporated into the model by applying the momentum transfer model. In the light of these analyses, an empirical equation is put forward to describe the lateral boundary shear distribution. The measured data of boundary shear in square ducts are used to quantify some empirical coefficients. The model is then applied to the corner region of rectangular ducts and open channels. With those simplifications and approximations applied to the streamwise vorticity equation, the predictions are found to be good.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ahmadi, R. (1979). “An experimental study of interaction between main channel and flood plain flows,” PhD dissertation, University of Alberta, Edmonton, Alta., Canada.
2.
Gerard, R.(1978). “Secondary flow in non-circular conduits.”J. Hydr. Engrg., ASCE, 104(5), 755–773.
3.
Gessner, F. B. (1964). “Turbulence and mean-flow characteristics of fully-developed flow in rectangular channels,” PhD thesis, Purdue University, West Lafayette, Ind.
4.
Knight, D. W.(1981). “Boundary shear in smooth and rough channels.”J. Hydr. Engrg., ASCE, 107(7), 839–851.
5.
Knight, D. W., Demetriou, J. D., and Hamed, M. E.(1984). “Boundary shear in smooth rectangular channels.”J. Hydr. Engrg., ASCE, 110(4), 405–422.
6.
Knight, D. W., and Patel, H. S.(1985). “Boundary shear in smooth rectangular ducts.”J. Hydr. Engrg., ASCE, 111(1), 29–47.
7.
Knight, D. W., Yuen, K. W. H., and Al-Hamid, A. A. I. (1994). “Boundary shear stress distributions in open channel flow.”Mixing and transport in the environment, K. J. Beven et al., eds., John Wiley & Sons, Inc., New York, N.Y.
8.
Launder, B. E., and Ying, W. M.(1972). “Secondary flows in ducts of square cross-section.”J. Fluid Mech., Cambridge, U.K., 54(2), 289–295.
9.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows. IAHR Monograph Series, A. A. Balkema, Rotterdam, The Netherlands.
10.
Perkins, H. J.(1970). “The formation of streamwise vorticity in turbulence flow.”J. Fluid Mech., Cambridge, U.K., 44(4), 721–740.
11.
Rajaratnam, N., and Ahmadi, R.(1981). “Hydraulics of channels with flood-plains.”J. Hydr. Res., Delft, The Netherlands, 19(1), 43–60.
12.
Rhodes, D. G., and Knight, D. W.(1994). “Distribution of shear force on boundary of smooth rectangular duct.”J. Hydr. Engrg., ASCE, 120(7), 787–806.
13.
Tominaga, A., and Nezu, I.(1991). “Turbulent structure in compound open-channel flows.”J. Hydr. Engrg., ASCE, 117(1), 21–41.
14.
Tominaga, A., Nezu, I., Ezaki, K., and Nakagawa, H.(1989). “Three-dimensional turbulent structure in straight open channel flows.”J. Hydr. Res., Delft, The Netherlands, 27(1), 149–173.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Jan 1, 1998
Published in print: Jan 1998
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.