Two-phase formulation of suspended sediment transport

Greimann, Blair P.; Muste, Marian; Holly, Forrest M.

doi:10.1080/00221686.1999.9628264

Cited by 95 publications

(100 citation statements)

References 26 publications

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“…In that regard, Greimann et al [87] developed a similar analysis to Rouse's, but incorporated notions of the two-phase flow theory and approximate turbulence closure to produce a modified Rouse formula. Bombardelli and Jha [40], Jha and Bombardelli [43][44][45] developed a hierarchy of models based on the two-phase flow theory, which has its roots on early developments by Bombardelli [88], Bombardelli et al [89] and Buscaglia et al [90].…”

Section: Sediment Transport In Suspensionmentioning

confidence: 99%

On the Values for the Turbulent Schmidt Number in Environmental Flows

Gualtieri

Angeloudis

Bombardelli

et al. 2017

Fluids

171

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Computational Fluid Dynamics (CFD) has consolidated as a tool to provide understanding and quantitative information regarding many complex environmental flows. The accuracy and reliability of CFD modelling results oftentimes come under scrutiny because of issues in the implementation of and input data for those simulations. Regarding the input data, if an approach based on the Reynolds-Averaged Navier-Stokes (RANS) equations is applied, the turbulent scalar fluxes are generally estimated by assuming the standard gradient diffusion hypothesis (SGDH), which requires the definition of the turbulent Schmidt number, Sc t (the ratio of momentum diffusivity to mass diffusivity in the turbulent flow). However, no universally-accepted values of this parameter have been established or, more importantly, methodologies for its computation have been provided. This paper firstly presents a review of previous studies about Sc t in environmental flows, involving both water and air systems. Secondly, three case studies are presented where the key role of a correct parameterization of the turbulent Schmidt number is pointed out. These include: (1) transverse mixing in a shallow water flow; (2) tracer transport in a contact tank; and (3) sediment transport in suspension. An overall picture on the use of the Schmidt number in CFD emerges from the paper.

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Section: Sediment Transport In Suspensionmentioning

confidence: 99%

On the Values for the Turbulent Schmidt Number in Environmental Flows

Gualtieri

Angeloudis

Bombardelli

et al. 2017

Fluids

171

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“…[8] It is recognized that a two-phase flow analysis can be the way forward [e.g., Greimann et al, 1999]. However, in the present study a model for the water-sediment mixture is utilized without discriminating the different turbulence behavior of the fluid and particle phases.…”

Section: Present Workmentioning

confidence: 99%

Role of suspended‐sediment particle size in modifying velocity profiles in open channel flows

Cao

Egashira

Carling

2003

Water Resources Research

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.[1] Previous experimental and analytical studies have revealed that suspended particles can attenuate or enhance turbulence, depending on the particle size in relation to turbulence scales. Incorporating this mechanism, an empirical turbulent eddy viscositybased closure model is proposed for the mean velocity structure of suspended sedimentladen flow in open channels. The model integrates the sediment particle Stokes number, the ratio of particle-size-to-turbulence microscale, the ratio of particle settling velocity to bed shear velocity, and local sediment concentration. Its good performance is demonstrated in comparison with available laboratory observations. It is characterized that single-phase turbulence closure models can be adapted for sediment-laden flows by implementing sediment particle size effects.

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“…The main assumption used in deriving the equations for the CTFM is that both phases behave macroscopically as fluid continua [21][22][23]. This hypothesis is customary in particle-laden flows in open channels (see for instance [11][12][13]20,31,30,32,34,37,49,67,70]). By posing the SSTM, the PTFM and the CTFM in one dimension (1D) in the wall-normal direction, we were able to test in the companion paper the accuracy of the models against data by Lyn [45], Muste and Patel [50], and Muste et al [51], in terms of the prediction of the turbulence-averaged water velocity, the averaged velocity of the disperse phase and flow turbulence statistics.…”

Section: Introductionmentioning

confidence: 99%

Two-phase modeling of turbulence in dilute sediment-laden, open-channel flows

Jha

Bombardelli

2009

Environ Fluid Mech

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In this paper, we focus on assessing the performance of diverse turbulence closures in the simulation of dilute sediment-laden, open-channel flows. To that end, we base our analysis on a framework developed in a companion paper of this special issue, which puts forward a standard sediment transport model (SSTM), a partial two-fluid model (PTFM) and a complete two-fluid model (CTFM), in three-and one-dimensional (3D and 1D) versions. First, we propose in this paper extensions of the transport equations for the Reynolds stresses, and of the equations of the K-ω model to two-phase flows, starting from the general two-fluid model. We consider the drag force to be the predominant force amongst all the interactions between the two phases (water and sediment). Second, under the framework of models formed by the SSTM, the PTFM and the CTFM, we discuss simulation results obtained by employing the Reynolds stress model (RSM), the algebraic stress model (ASM), and the K-ε and the K-ω models (in their standard and extended versions), paired with each member of the framework. To assess the accuracy of the models, we compare numerical results with the experimental datasets of Vanoni, Trans ASCE 111:67-133, 1946 available data, and we provide an explanation for the variation of the Schmidt number with the ratio of the fall velocity and the wall-friction (shear) velocity. Finally, we corroborate that the Schmidt number is the key parameter to obtain satisfactory predictions of sediment transport in suspension.

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Two-phase formulation of suspended sediment transport

Cited by 95 publications

References 26 publications

On the Values for the Turbulent Schmidt Number in Environmental Flows

On the Values for the Turbulent Schmidt Number in Environmental Flows

Role of suspended‐sediment particle size in modifying velocity profiles in open channel flows

Two-phase modeling of turbulence in dilute sediment-laden, open-channel flows

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