Boundary Shear Distribution in Straight Ducts and Open Channels
Publication: Journal of Hydraulic Engineering
Volume 130, Issue 9
Abstract
A semianalytical model was developed to predict boundary shear distribution in straight, noncircular ducts and open channels. The model was developed using a simplified streamwise vorticity equation, which involves only secondary Reynolds stress terms. These terms are representative of transverse turbulence anisotropy and nonhomogeneity. Transverse anisotropy is modeled using a universal function. Shear stresses are incorporated into the model by applying the momentum transfer model. An empirical model was employed to calculate the effect of the channel boundary on shear stresses. The final equation was applied to calculate boundary shear distribution in triangular ducts and trapezoidal open channels. The model predictions were well correlated with experimental data.
Get full access to this article
View all available purchase options and get full access to this article.
References
Aly, A. M. M., Trupp, A. C., and Gerrard, A. D.(1978). “Measurements and prediction of fully developed turbulent flow in an equilateral triangular duct.” J. Fluid Mech., 85(1), 57–83.
Demuren, A. O., and Rodi, W.(1984). “Calculation of turbulence-driven secondary motion in non-circular ducts.” J. Fluid Mech., 140, 189–222.
Gerard, R.(1978). “Secondary flow in non-circular conduits.” J. Hydraul. Div., Am. Soc. Civ. Eng., 104(5), 755–773.
Gessner, F. B. (1964). “Turbulence and mean-flow characteristics of fully developed flow in rectangular channels.” PhD thesis, Purdue University, West Lafayette, Ind.
Jin, Y. C., Steffler, P. M., and Hicks, F. E.(1990). “Roughness effects on flow and shear stress near outside bank of curved channel.” J. Hydraul. Eng., 116(4), 563–577.
Knight, D. W., and Patel, H. S.(1985). “Boundary shear in smooth rectangular ducts.” J. Hydraul. Eng., 111(1), 29–47.
Knight, D. W., Yuen, K. W. H., and Alhamid, A. A. I. (1994). “Boundary shear stress distribution in open channel flow.” Mixing and transport in the environment, K. J. Beven, P. C. Chatwin, and J. H. Millbank eds., Wiley, New York, 51–87.
Nezu, I., and Nakagawa, H. (1993). “Turbulence in open-channel flows.” IAHR Monograph, Balkema, Rotterdam, The Netherlands.
Perkins, H. J.(1970). “The formation of streamwise vorticity in turbulence flow.” J. Fluid Mech., 44(4), 721–740.
Rhodes, D. G.and Knight, D. W.(1994). “Distribution of shear force on boundary of smooth rectangular duct.” J. Hydraul. Eng.120(7), 787-806.
Shiono, K., and Knight, D. W.(1991). “Turbulent open-channel flows with variable depth across the channel.” J. Fluid Mech., 222, 617–646.
Tominaga, A., and Nezu, I.(1991). “Turbulent structure in compound open-channel flows.” J. Hydraul. Eng., 117(1), 21–41.
Tominaga, A., Nezu, I., Ezaki, K., and Nakagawa, H.(1989). “Three-dimensional turbulent structure in straight open channel flows.” J. Hydraul. Res., 27(1), 149–173.
Zheng, Y., and Jin, Y. C.(1998). “Boundary shear in rectangular ducts and channels.” J. Hydraul. Eng., 124(1), 86–89.
Zheng, Y. (1995). “Lateral distribution of boundary shear in non-circular ducts and open-channels.” MASc thesis, University of Regina, Regina, Sask., Canada.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 130 • Issue 9 • September 2004
Pages: 924 - 928
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Jan 21, 2003
Accepted: Feb 2, 2004
Published online: Aug 16, 2004
Published in print: Sep 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.