Numerical simulation and validation of dilute turbulent gas–particle flow with inelastic collisions and turbulence modulation

Benavides, Aldo; Wachem, Berend van

doi:10.1016/j.powtec.2007.06.028

Cited by 39 publications

(36 citation statements)

References 21 publications

(57 reference statements)

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“…(17) take account of the sediment damping effect on the carrier-flow turbulence through drag (the fourth term) and density stratification (the last term). In the drag-induced damping term, the parameter t mf is introduced to characterize the degree of correlation between particles and fluid velocity fluctuations and it can be quantified by the Stokes number St (Benavides and van Wachem, 2008):…”

Section: Mixing Length (1-d Only)mentioning

confidence: 99%

SedFoam-2.0: a 3-D two-phase flow numerical model for sediment transport

et al. 2017

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Abstract. In this paper, a three-dimensional two-phase flow solver, SedFoam-2.0, is presented for sediment transport applications. The solver is extended from twoPhaseEulerFoam available in the 2.1.0 release of the open-source CFD (computational fluid dynamics) toolbox OpenFOAM. In this approach the sediment phase is modeled as a continuum, and constitutive laws have to be prescribed for the sediment stresses. In the proposed solver, two different intergranular stress models are implemented: the kinetic theory of granular flows and the dense granular flow rheology µ(I ). For the fluid stress, laminar or turbulent flow regimes can be simulated and three different turbulence models are available for sediment transport: a simple mixing length model (one-dimensional configuration only), a k − ε, and a k − ω model. The numerical implementation is demonstrated on four test cases: sedimentation of suspended particles, laminar bed load, sheet flow, and scour at an apron. These test cases illustrate the capabilities of SedFoam-2.0 to deal with complex turbulent sediment transport problems with different combinations of intergranular stress and turbulence models.

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Section: Mixing Length (1-d Only)mentioning

confidence: 99%

SedFoam-2.0: a 3-D two-phase flow numerical model for sediment transport

et al. 2017

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“…A few examples (among many others) of an incorrect or incomplete formulation can be found in Ahmadi & Ma (1990), Simonin, Deutsch & Minier (1993), He & Simonin (1993), Simonin (1996), Peirano & Leckner (1998), Cheng et al (1999), Benavides, & van Wachem (2008), Chao et al (2011Chao et al ( , 2012, Jiang & Zhang (2012), and Rao et al (2012). Interestingly, Hrenya & Sinclair (1997) give the correct expression for the PA granular temperature R. O.…”

Section: Introductionmentioning

confidence: 99%

On multiphase turbulence models for collisional fluid–particle flows

Fox¹

2014

J. Fluid Mech.

180

212

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Starting from a kinetic theory (KT) model for monodisperse granular flow, the exact Reynolds-averaged (RA) equations are derived for the particle phase in a collisional fluid-particle flow. The corresponding equations for a constant-density fluid phase are derived from a model that includes drag and buoyancy coupling with the particle phase. The fully coupled macroscale/hydrodynamic model, rigorously derived from a kinetic equation for the particles, is written in terms of the particle-phase volume fraction, the particle-phase velocity and the granular temperature (or total granular energy). As derived from the hydrodynamic model, the RA turbulence model solves for the RA particle-phase volume fraction, the phase-averaged (PA) particle-phase velocity, the PA granular temperature and the PA turbulent kinetic energy of the particle phase. Thus, unlike in most previous derivations of macroscale turbulence models for moderately dense granular flows, a clear distinction is made between the PA granular temperature Θ p , which appears in the KT constitutive relations, and the particle-phase turbulent kinetic energy k p , which appears in the turbulent transport coefficients. The exact RA equations contain unclosed terms due to nonlinearities in the hydrodynamic model and we briefly discuss the available closures for these terms. Finally, we demonstrate by comparing model predictions with direct numerical simulation results that even for non-collisional fluid-particle flows it is necessary to provide separate models for Θ p and k p in order to correctly account for the effect of the particle Stokes number and mass loading.

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“…Furthermore, μ g is the carrier phase viscosity and μ g t describes the eddy-viscosity [1]. Finally, I k is the interaction coupling between the granular temperature and turbulence equation.…”

Section: Model Descriptionmentioning

confidence: 99%

“…(7) and (8) show the correlations for interaction coupling terms, where τ sg is the time scale for the fluctuation energy transfer, which is characterized based on the value of Stokes number [1,11] …”

Section: Model Descriptionmentioning

confidence: 99%