4.4 Article

One-Dimensional Velocity Distribution in Open Channels Using Tsallis Entropy

Journal

JOURNAL OF HYDROLOGIC ENGINEERING
Volume 19, Issue 2, Pages 290-298

Publisher

ASCE-AMER SOC CIVIL ENGINEERS
DOI: 10.1061/(ASCE)HE.1943-5584.0000793

Keywords

Velocity distribution; Lagrange multipliers; Mass conservation; Open channel flow; Entropy; Tsallis entropy

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Assuming time-averaged velocity as a random variable, a one-dimensional velocity distribution for wide open channels was derived by maximizing the Tsallis entropy, subject to mass conservation. The derived distribution was tested by using field and experimental data and was also compared with other well-known velocity distributions. The Tsallis entropy-based velocity distribution was found to predict the velocity near the bed well.

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