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Water 2018, 10(4), 478; https://doi.org/10.3390/w10040478

Longitudinal Dispersion in Straight Open Channels: Anomalous Breakthrough Curves and First-Order Analytical Solution for the Depth-Averaged Concentration

1
School of Engineering, University of Basilicata, 85100 Potenza, Italy
2
Department of Biosciences and Territory, University of Molise, 86100 Campobasso, Italy
*
Author to whom correspondence should be addressed.
Received: 19 February 2018 / Revised: 8 April 2018 / Accepted: 11 April 2018 / Published: 13 April 2018
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Abstract

A first-order analytical solution is proposed for the actual depth-averaged concentration of tracers in shallow river flows in the presence of large Peclet numbers (defined as the ratio of section-averaged velocity times channel width to turbulent diffusion coefficient). The solution shows how complete transverse mixing is never achieved due to the typical shape of the velocity and diffusion coefficient profile, which alternatively tend—depending on the downstream location of the cross-section—to concentrate the mass at the centre or at the boundaries of the cross-section itself. The first-order analytical solution proves to be consistent with the results of Lagrangian numerical simulations based on real-field input data, which show how the solute mass breakthrough curves always exhibit anomalous behaviour and a considerable and persistent delay when compared with those that are analytically obtained by assuming a truly one-dimensional process. View Full-Text
Keywords: river flows; solute longitudinal dispersion; breakthrough curves; analytical solution; numerical simulations river flows; solute longitudinal dispersion; breakthrough curves; analytical solution; numerical simulations
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Pannone, M.; Mirauda, D.; De Vincenzo, A.; Molino, B. Longitudinal Dispersion in Straight Open Channels: Anomalous Breakthrough Curves and First-Order Analytical Solution for the Depth-Averaged Concentration. Water 2018, 10, 478.

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