American Society of Civil Engineers

Boundary Shear Distribution in Straight Ducts and Open Channels

by Yee-Chung Jin, A.M.ASCE, (Professor, Faculty of Engineering, Univ. of Regina, Regina SK, Canada 545 0A2.), A. R. Zarrati, (Associate Professor, Dept. of Civil Engineering, Amir Kabir Univ. of Technology, Tehran, Iran.), and Y. Zheng, (Graduate Student, Faculty of Engineering, Univ. of Regina, Regina SK, Canada 545 0A2.)

Journal of Hydraulic Engineering, Vol. 130, No. 9, September 2004, pp. 924-928, (doi:

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Document type: Technical Note
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.

ASCE Subject Headings:
Shear stress
Secondary flow
Analytical techniques
Shear distribution
Boundary shear
Open channels