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Information Entropy Theory Applied to the Dip-Phenomenon Analysis in Open Channel Flows

1
School of Engineering, Basilicata University, Viale dell’Ateneo Lucano 10, 85100 Potenza, Italy
2
Department of Mathematics, Computer Science and Economics, Basilicata University, Viale dell’Ateneo Lucano 10, 85100 Potenza, Italy
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(6), 554; https://doi.org/10.3390/e21060554
Received: 5 April 2019 / Revised: 17 May 2019 / Accepted: 29 May 2019 / Published: 1 June 2019
The knowledge of the fluid discharge in free surface flows requires a great number of velocity measurements along the whole cross-section, taking up a large amount of time, using expensive equipment, and employing specialized labor. To overcome these obstacles, various models have been developed thus far that show how to estimate the mean velocity through the maximum velocity. In three-dimensional open channels, the maximum velocity can be located below the free surface because of the presence of secondary flows mainly originating by the sidewalls, an occurrence known as dip-phenomenon. In this condition, predicting the maximum velocity position is quite difficult and has always represented a challenge to most hydraulic engineers and researchers. In the present study, a mathematical model derived from the information entropy theory is proposed to evaluate the velocity-dip-position over the entire cross-section of both wide and narrow open channels, thus overcoming the limitations of the existing methods. Large literature measurement sets, collected in uniform and non-uniform flows, were used to test the validity of the model, showing good agreement with the experimental data and providing an accurate estimation of the dip-position. View Full-Text
Keywords: Shannon’s information entropy; velocity-dip-position; open channel flows; maximum velocity; mean velocity; theoretical model Shannon’s information entropy; velocity-dip-position; open channel flows; maximum velocity; mean velocity; theoretical model
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Mirauda, D.; Russo, M.G. Information Entropy Theory Applied to the Dip-Phenomenon Analysis in Open Channel Flows. Entropy 2019, 21, 554.

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