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Reinvestigating the Kinetic Model for the Suspended Sediment Concentration in an Open Channel Flow

Author

Listed:
  • Marco Dalla Via

    (Département de Physique et Géologie, Collège Montmorency, 475 Boulevard de l’Avenir, Laval, QC H7N 5H9, Canada
    These authors contributed equally to this work.)

  • Rafik Absi

    (Laboratoire Quartz EA 7393, École Supérieure d’Ingénieurs ECAM-EPMI, 95092 Cergy-Pontoise, France
    Laboratoire de Recherche en Éco-Innovation Industrielle et Énergétique LR2E, École Supérieure d’Ingénieurs ECAM-EPMI, 95092 Cergy-Pontoise, France
    These authors contributed equally to this work.)

Abstract

The prediction of sediment transport, related to different environmental and engineering problems, requires accurate mathematical models. Most available mathematical models for the concentrations of suspended sediments are based on the classical advection diffusion equation, which remains not efficient enough to describe the complete behavior related to sediment–water two-phase flows and the feedback between the turbulent unsteady flow and suspended sediments. The aim of this paper is to reinvestigate the kinetic model for turbulent two-phase flows, which accounts for both sediment–turbulence interactions and sediment–sediment collisions. The present study provides a detailed and rigorous derivation of the kinetic model equations, clarifications about the mathematical approach and more details about the main assumptions. An explicit link between the kinetic model and the classical advection diffusion equation is provided. Concentration profiles for suspended sediments in open channel flows show that the kinetic model is able to describe the near-bed behavior for coarse sediments.

Suggested Citation

  • Marco Dalla Via & Rafik Absi, 2024. "Reinvestigating the Kinetic Model for the Suspended Sediment Concentration in an Open Channel Flow," Mathematics, MDPI, vol. 12(6), pages 1-9, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:794-:d:1353726
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