# An ordinary differential equation for velocity distribution and dip-phenomenon in open channel flows

@article{Absi2011AnOD, title={An ordinary differential equation for velocity distribution and dip-phenomenon in open channel flows}, author={Rafik Absi}, journal={Journal of Hydraulic Research}, year={2011}, volume={49}, pages={82 - 89} }

An ordinary differential equation (ODE) for velocity distribution in open channel flows is presented based on an analysis of the Reynolds-averaged Navier–Stokes equations and a log-wake modified eddy viscosity distribution. This proposed equation allows to predict the velocity-dip-phenomenon, i.e. the maximum velocity below the free surface. Two different degrees of approximations are presented, a semi-analytical solution of the proposed ODE, i.e. the full dip-modified-log-wake law (fDMLW-law…

## 84 Citations

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