{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T21:04:00Z","timestamp":1781298240189,"version":"3.54.1"},"reference-count":51,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2018,1,17]],"date-time":"2018-01-17T00:00:00Z","timestamp":1516147200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The three-dimensional structure of river flow and the presence of secondary currents, mainly near walls, often cause the maximum cross-sectional velocity to occur below the free surface, which is known as the \u201cdip\u201d phenomenon. The present study proposes a theoretical model derived from the entropy theory to predict the velocity dip position along with the corresponding velocity value. Field data, collected at three ungauged sections located along the Alzette river in the Grand Duchy of Luxembourg and at three gauged sections located along three large rivers in Basilicata (southern Italy), were used to test its validity. The results show that the model is in good agreement with the experimental measurements and, when compared with other models documented in the literature, yields the least percentage error.<\/jats:p>","DOI":"10.3390\/e20010069","type":"journal-article","created":{"date-parts":[[2018,1,17]],"date-time":"2018-01-17T12:17:11Z","timestamp":1516191431000},"page":"69","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["An Entropic Model for the Assessment of Streamwise Velocity Dip in Wide Open Channels"],"prefix":"10.3390","volume":"20","author":[{"given":"Domenica","family":"Mirauda","sequence":"first","affiliation":[{"name":"School of Engineering, Basilicata University, Viale dell\u2019Ateneo Lucano 10, 85100 Potenza, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marilena","family":"Pannone","sequence":"additional","affiliation":[{"name":"School of Engineering, Basilicata University, Viale dell\u2019Ateneo Lucano 10, 85100 Potenza, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Annamaria","family":"De Vincenzo","sequence":"additional","affiliation":[{"name":"School of Engineering, Basilicata University, Viale dell\u2019Ateneo Lucano 10, 85100 Potenza, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2018,1,17]]},"reference":[{"key":"ref_1","first-page":"331","article-title":"A reason why the maximum velocity of water flowing in open channels is below the surface","volume":"7","author":"Stearns","year":"1883","journal-title":"Trans. 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