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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 1458591, 9 pages
Research Article

Investigation of Velocity Distribution in Open Channel Flows Based on Conditional Average of Turbulent Structures

1College of Water Resources & Civil Engineering, China Agricultural University, Beijing 100083, China
2School of Civil, Mining & Environmental Engineering, University of Wollongong, NSW 2522, Australia

Correspondence should be addressed to Yu Han; ua.ude.liamwou@619hy and Liu-Chao Qiu; nc.ude.uac@oahcuiluiq

Received 4 January 2017; Accepted 24 April 2017; Published 29 May 2017

Academic Editor: Jian G. Zhou

Copyright © 2017 Yu Han et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We report the development of a new analytical model similar to the Reynolds-averaged Navier-Stokes equations to determine the distribution of streamwise velocity by considering the bursting phenomenon. It is found that, in two-dimensional (2D) flows, the underlying mechanism of the wake law in 2D uniform flow is actually a result of up/down events. A special experiment was conducted to examine the newly derived analytical model, and good agreement is achieved between the experimental data in the inner region and the model’s prediction. The obtained experimental data were also used to examine the DML-Law (dip-modified-log-law), MLW-Law (modified-log-wake law), and CML-Law (Cole’s wake law), and the agreement is not very satisfactory in the outer region.