Stochastic formulation of particle kinetics in wall-bounded two-phase flows

Ma, Hsi-Pin; Fu, Xudong

doi:10.1007/s11431-014-5640-z

Cited by 3 publications

(1 citation statement)

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“…However, these two-fluid models show difficulties and limitations related to the massive computations to numerically resolve coupled partial differential equations together with the additional uncertainties associated with the unclosed terms or coefficients (Ishii and Hibiki [35]). On the other hand, the kinetic model seems to be a promising tool to incorporate the effects of fluid-sediment and sediment-sediment interactions as well as sediment inertia to predict non-monotonic concentration profiles (Fu et al [36]; Wang et al [37]; Lei [38]; Ma and Fu [39]; Nie et al [40]; Huang et al [41]). In these studies, one-dimensional suspended sediment concentration distribution was obtained through kinetic-model-based simulations.…”

Section: Introductionmentioning

confidence: 99%

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

Dalla Via,

Absi

2024

Mathematics

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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.

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