Technical Notes
Jul 15, 2024

Influence of the Suspended Sediment Concentration on the Calculation of the Vertical Distribution of Streamwise Velocity

Publication: Journal of Hydrologic Engineering
Volume 29, Issue 5

Abstract

The primary objective of this study was to investigate the vertical distribution of streamwise velocity in open-channel flow carrying sediments. The governing equations encompassing mass and momentum balances for the fluid are employed, with the Reynolds stress term linked to the mixing length of the flow, which is treated as a function of concentration. Both wall-normal and settling velocities are considered as functions of concentration. Notably, a concentration-dependent von Kármán constant, incorporating the effect of suspended sediment particles, is utilized in the mixing length expression, rendering the model more realistic. The resultant nonlinear ordinary differential equations are solved numerically. The model was analyzed for particle-free flow, wherein the concentration term was set to zero. The deviation of the velocity profile in this scenario from the original scenario with concentration underscores the significance of incorporating the concentration term in the study of velocity models in sediment-laden flows. Additionally, the developed velocity model was validated against pertinent experimental data available in the literature. Subsequent error analysis was conducted to compare the model with experimental data.

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Data Availability Statement

No data, model, or code were generated during the study. We validated our results using the existing experimental data from Vanoni (1946), Coleman (1986), and Lyn (1988). Solver NDsolve in Mathematica was used to obtain the numerical solution.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 29Issue 5October 2024

History

Received: Dec 12, 2023
Accepted: Apr 29, 2024
Published online: Jul 15, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 15, 2024

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Assistant Professor, Dept. of Mathematics, School of Technology, Pandit Deendayal Energy Univ., Gandhinagar, Gujarat 382421, India (corresponding author). Email: [email protected]
Professor, LR2E Laboratory Quartz Equipes d’Accueil (EA) 7393, Ecole Supérieure d’Ingénieurs en Génie Electrique, Productique et Management Industriel (ECAM-EPMI), 13 Blvd. de l’Hautil, Cergy 95092, France. Email: [email protected]
Sourav Hossian [email protected]
Assistant Professor, Dept. of Mathematics, School of Engineering, Univ. of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India. Email: [email protected]
Chandra Shekhar Nishad [email protected]
Assistant Professor, Dept. of Science and Mathematics, International Institute of Information Technology, Naya Raipur, Chhattisgarh 493661, India. Email: [email protected]

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