A fast Eulerian method for disperse two-phase flow

Ferry, Jim; Balachandar, S.

doi:10.1016/s0301-9322(00)00069-0

Cited by 245 publications

(210 citation statements)

References 25 publications

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“…As follows from our analysis, the Eulerian approach predicts preferential accumulation of particles in the regions of low vorticity in agreement with previously reported results (Ferry and Balachandar, 2001;Maxey, 1987). A similar behaviour is predicted by the fully Lagrangian approach.…”

Section: Transient Flowsupporting

confidence: 91%

“…The advantage of this method is that the particle velocity can be found without solving additional partial differential equations for the particle velocity field. This method was generalised by Ferry and Balachandar (2001) and it was shown that the first order approximation of particle velocity leads to sufficiently accurate results. The equilibrium Eulerian method is well known, easy to implement and computationally efficient, which makes it a good for comparison with FLA at low Stokes numbers.…”

Section: Equilibrium Eulerian Methodsmentioning

confidence: 99%

“…In section 4 the results of application of the new customised version of ANSYS Fluent to the analysis of a dilute gas-particle flow around an infinitely long circular cylinder are presented. The predictions of this code are compared to the predictions based on the equilibrium Eulerian method, proposed by Ferry and Balachandar (2001). Results of the application of this version of ANSYS Fluent to the analysis of the results of experimental observations of a gasoline fuel spray, at representative fuel injection conditions, are presented in section 5.…”

Section: Introductionmentioning

confidence: 99%

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The Fully Lagrangian Approach to the Analysis of Particle/Droplet Dynamics: Implementation Into Ansys Fluent and Application to Gasoline Sprays

et al. 2017

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The fully Lagrangian approach (FLA) to the calculation of the number density of inertial particles in dilute gas-particle flows is implemented into the CFD code ANSYS Fluent. The new version of ANSYS Fluent is applied to modelling dilute gas-particle flow around a cylinder and liquid droplets in a gasoline fuel spray. In a steady-state case, the predictions of the FLA for the flow around a cylinder and those based on the equilibrium Eulerian method (EE) are almost identical for small Stokes number, Stk, and small Reynolds number, Re, (Re = 1, Stk = 0.05). For the larger values of these numbers (Re = 10, 100; Stk = 0.1, 0.2) the FLA predicts higher values of the gradients of particle number densities in front of the cylinder compared with the ones predicted by the EE. For transient flows (Re = 200), both methods predict high values of the number densities between the regions of high vorticity and very low values in the vortex cores. For Stk ≥ 0.1 the maximal values predicted by FLA are shown to be several orders of magnitude higher than those predicted by the EE. An application of FLA to a direct injection gasoline fuel spray has focused on the calculation of the number densities of droplets. Results show good qualitative agreement between the numerical simulation and experimental observations. It is shown that small droplets with diameters dp = 2 µm tend to accumulate in the regions of trajectory intersections more readily, when compared with larger droplets (dp = 10 µm, dp = 20 µm). This leads to the prediction of the regions of high number densities of small droplets.KEY WORDS: Gas-particle flow Particle number densities Eulerian approach Fully Lagrangian approach Gasoline fuel sprays.

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Section: Transient Flowsupporting

confidence: 91%

Section: Equilibrium Eulerian Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Fully Lagrangian Approach to the Analysis of Particle/Droplet Dynamics: Implementation Into Ansys Fluent and Application to Gasoline Sprays

et al. 2017

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“…To this aim, a development of the so-called equilibriumEulerian approach (Ferry and Balachandar, 2001;Balachandar and Eaton, 2010) has been adopted. It is a generalization of the dusty-gas model keeping the kinematic nonequilibrium as a first-order correction of the Marble (1970) model with respect to the Stokes number of the solid particles in the mixture.…”

Section: Multiphase Flow Models Of Volcanic Plumesmentioning

confidence: 99%

ASHEE-1.0: a compressible, equilibrium–Eulerian model for volcanic ash plumes

2016

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Abstract.A new fluid-dynamic model is developed to numerically simulate the non-equilibrium dynamics of polydisperse gas-particle mixtures forming volcanic plumes. Starting from the three-dimensional N-phase Eulerian transport equations for a mixture of gases and solid dispersed particles, we adopt an asymptotic expansion strategy to derive a compressible version of the first-order non-equilibrium model, valid for low-concentration regimes (particle volume fraction less than 10 −3 ) and particle Stokes number (St -i.e., the ratio between relaxation time and flow characteristic time) not exceeding about 0.2. The new model, which is called ASHEE (ASH Equilibrium Eulerian), is significantly faster than the N-phase Eulerian model while retaining the capability to describe gas-particle non-equilibrium effects. Direct Numerical Simulation accurately reproduces the dynamics of isotropic, compressible turbulence in subsonic regimes. For gas-particle mixtures, it describes the main features of density fluctuations and the preferential concentration and clustering of particles by turbulence, thus verifying the model reliability and suitability for the numerical simulation of highReynolds number and high-temperature regimes in the presence of a dispersed phase. On the other hand, Large-Eddy Numerical Simulations of forced plumes are able to reproduce the averaged and instantaneous flow properties. In particular, the self-similar Gaussian radial profile and the development of large-scale coherent structures are reproduced, including the rate of turbulent mixing and entrainment of atmospheric air. Application to the Large-Eddy Simulation of the injection of the eruptive mixture in a stratified atmosphere describes some of the important features of turbulent volcanic plumes, including air entrainment, buoyancy reversal and maximum plume height. For very fine particles (St → 0, when non-equilibrium effects are negligible) the model reduces to the so-called dusty-gas model. However, coarse particles partially decouple from the gas phase within eddies (thus modifying the turbulent structure) and preferentially concentrate at the eddy periphery, eventually being lost from the plume margins due to the concurrent effect of gravity. By these mechanisms, gas-particle non-equilibrium processes are able to influence the large-scale behavior of volcanic plumes.

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“…For spatial and temporal numerical simulations, an approach with a compromise between physical resolution and time con-sumptions equal to the fast Eulerian approach of Ferry and Balachander [14] was developed. The solid and liquid phases are approximated by a mixed phase.…”

Section: General Approachmentioning

confidence: 99%

An Efficient Numerical Approach for Transient Simulation of Multiphase Flow Behavior in Centrifuges

et al. 2017

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Solid bowl centrifuges are applied for the separation of small particles in a variety of industries. However, the particles accumulate at the rotor wall, which leads to a time-dependent separation efficiency. A numerical approach for spatial and timeresolved simulations of the separation process in a tube centrifuge is developed and some numerical results are presented. The back coupling of the dispersed and sedimented particles is realized by locally defined viscosity functions. The open source computation software OpenFOAM was used to simulate the turbulent multiphase flow within the centrifuge. The numerical investigations demonstrate the significant influence of the growing sediment on the flow conditions and of the rheological behavior of the sediment on the sediment shape.

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A fast Eulerian method for disperse two-phase flow

Cited by 245 publications

References 25 publications

The Fully Lagrangian Approach to the Analysis of Particle/Droplet Dynamics: Implementation Into Ansys Fluent and Application to Gasoline Sprays

The Fully Lagrangian Approach to the Analysis of Particle/Droplet Dynamics: Implementation Into Ansys Fluent and Application to Gasoline Sprays

ASHEE-1.0: a compressible, equilibrium–Eulerian model for volcanic ash plumes

An Efficient Numerical Approach for Transient Simulation of Multiphase Flow Behavior in Centrifuges

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