Downward and upward approach for entropy velocity profile

The use of the entropy velocity profile in the field of Applied Hydraulics allows describing the local flow condition through the use of simple parameters easily to derive. The features of the law, based on the mean and maximum velocity, as well as the recent results concerning the relationship between the mean and the maximum cross section velocity, suggest employing the velocity profile at both local and global scale. That is, downward and upward approaches are proposed in order to describe the flow energy budget at the small scale and the morphological river characteristics at the high scale respectively.