An Explicit Model for Concentration Distribution using Biquadratic-Log-Wake Law in an Open Channel Flow

Abstract

The log-wake law with biquadratic boundary correction for the vertical velocity distribution which was changed from cubic boundary correction by Guo for the pipe data is applied to turbulent flow in open-channels. The biquadraticlog- wake law is tested with experimental data from Coleman, Lyn, Wang and Qian and Kironoto and Graf. It shows that the biquadratic-log-wake law matches well with flume data. A new mathematical model for vertical concentration distribution using the biquadratic-log-wake law is proposed and tested with the existing laboratory data. This study reflect the fact that sediment suspension has significant effects on both von Karman constant and Coles’ wake strength.

Keywords

• Open-channel
• Velocity distribution
• Boundary correction
• Sediment suspension
• von Karman constant
• Coles’ wake strength.