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

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 un...

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Bibliographic Details
Published in:Mathematical Problems in Engineering
Main Authors: Yu Han, Shu-Qing Yang, Muttucumaru Sivakumar, Liu-Chao Qiu
Format: Article in Journal/Newspaper
Language:English
Published: Hindawi Limited 2017
Subjects:
Engineering (General). Civil engineering (General)
TA1-2040
Mathematics
QA1-939
DML
Online Access:https://doi.org/10.1155/2017/1458591
https://doaj.org/article/06279c04c61043dbb288e65c7b89d8bd
Description
Summary: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.

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