A diffusion-inertia model for predicting dispersion and deposition of low-inertia particles in turbulent flows

Zaichik, L. I.; Drobyshevsky, N. I.; Филиппов, А. С.; Mukin, Roman; Strizhov, V. F.

doi:10.1016/j.ijheatmasstransfer.2009.09.044

Cited by 36 publications

(10 citation statements)

References 34 publications

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“…function of the density ratio of  p / f and the ratio of the relaxation time scale of solid particles to the time scale of energy containing eddies [24,25]. In this paper, it is determined by the empirical values suggested by Zhong et al [6] (i.e., the damping function D p defined in Greimann and…”

Section: Inertia Effect On Vertical Sediment Diffusion For Steady Andmentioning

confidence: 99%

Particle inertia effect on sediment dispersion in turbulent open-channel flows

Zhang

Zhong

Wang

2014

Sci. China Technol. Sci.

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Particle inertia effect plays a significant role in sediment dispersion which has not been fully elucidated. In this paper, the profound effect of particle inertia on the sediment dispersion was analyzed. The theoretical expression for the drift velocity based on the two-phase mixture theory in turbulent open channels is firstly introduced. The influence of particle inertia on sediment dispersion was investigated through three different aspects including vertical dispersion, motion, and flux properties based on the drift velocity. Results show that the dispersion of suspended sediment in turbulent open-channel flows is affected by three major processes including turbulence of water sediment mixtures, particle random motion, and collisions among particles, of which the contributions of particle turbulence and collisions to the sediment dispersion are remarkable for particles of high inertia. With respect to the vertical mean velocity and sediment flux, it shows that the predictive results agree well with the measurements when the term of particle inertia is considered. As a result, particle inertia considerably affects the behavior of suspended sediment. In particular, the influence of inertia must be accounted for in circumstances of flows laden with high-inertia particles. inertia, effect, suspended sediment, dispersion Citation: Zhang L, Zhong D Y, Wu B S. Particle inertia effect on sediment dispersion in turbulent open-channel flows.

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Section: Inertia Effect On Vertical Sediment Diffusion For Steady Andmentioning

confidence: 99%

Particle inertia effect on sediment dispersion in turbulent open-channel flows

Zhang

Zhong

Wang

2014

Sci. China Technol. Sci.

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“…For instance the Zaichick correlation can be used for fog droplets deposition. For more details on this correlation, the reader can refer to Zaichik et al 18,19 Numerical schemes…”

Section: ðA2þmentioning

confidence: 99%

Development of a model for thin films and numerical sensitivity tests

Simon

Dorey

Lance

2018

Proceedings of the Institution of Mechanical Engineers, Part A:

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Because the unsteady behavior of liquid films in steam turbines is a key point for additional friction losses and atomization process (that leads to coarse water generation), the development of a dedicated model has been found necessary. A twodimensional computational fluid dynamics code for unstructured mesh is being developed using the finite volume method to simulate this thin liquid film. The aim is to predict the formation of the waves in the film since it is suspected to be a key parameter for friction and atomization. Applied as a first step to a plane plate, the code has been verified in a onedimensional version with analytical solutions and is tested in low-pressure turbine steam conditions. Falling films computations (without gas shear stress) show that the model is capable to reproduce the waves' shape of experiments from the literature. With steam under low-pressure turbine conditions, and compared to experimental data from the University of Michigan, the model including shear stress and surface tension provides good results for heights. Sensitivity calculations have been undergone showing the crucial influence of the surface tension and the generation of solitary waves for high velocities is captured by the code. The effect of gravity is also quantified.

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“…The starting point is the "diffusion-inertia" equation of Zaichik et al [6]. However, it is necessary to adapt this equation to our application.…”

Section: Mathematical Formulation 21 Transport Equationmentioning

confidence: 99%

“…The coagulation rate is deduced from the solution of the following population balance equation [17]: (6) where the coagulation kernel, denoted by β(L,L'), expresses the mean frequency at which particles of sizes L and L' will collide and stick together. This kernel is a function of particle properties: size, shape, density, electrical charge, and fluid properties: temperature, density, viscosity, turbulence, etc.…”

Section: Coagulation Source Termmentioning

confidence: 99%

“…In this size range, the main phenomena ruling the dynamics of airborne particles are transport, deposition and coagulation, which are all size dependent. Among the various ways of modelling transport and deposition of such small-inertia aerosols, the "drift-flux" and the "diffusion-inertia" models already demonstrated their ability while keeping reasonable computational costs [2,3,4,5,6,7]. More recently, their association with the dynamic boundary layer (DBL) approach to model particle deposition at walls was shown particularly effective [8].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Evaluation of a Moments-Based Formulation for the Transport and Deposition of Small Inertia Aerosols

Guichard

Belut

Nimbert

et al. 2014

The Journal of Computational Multiphase Flows

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This paper introduces and evaluates a formulation for the modeling of transport and wall deposition of aerosols, written in terms of moments of the particle size distribution (PSD). This formulation allows coupling the moment methods with computational fluid dynamics (CFD) to track the space and time evolution of the PSD of an aerosol undergoing transport, deposition and coagulation. It consists in applying the quadrature method of moments (QMOM) to the diffusion-inertia model of Zaichik et al. [6], associated with the dynamic boundary layer (DBL) approach of Simonin [8] for wall deposition. After presenting the QMOM formulation of the transport equation and of the DBL wall function, the paper presents several test cases in which the method is compared to existing experimental and numerical results. It is shown that the moment formulation of the model does not introduce particular bias compared to its concentration-based formulation. This extension of the diffusion-inertia/DBL approach to the QMOM method hence allows modeling with a good numerical efficiency and at building scale the dynamics of aerosols undergoing transport and modification of their PSD through coagulation and deposition. NOMENCLATURE Latin letters A abscissas (m) D BBrownian diffusivity (m 2 .s -1 ) D f fractal dimension

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A diffusion-inertia model for predicting dispersion and deposition of low-inertia particles in turbulent flows

Cited by 36 publications

References 34 publications

Particle inertia effect on sediment dispersion in turbulent open-channel flows

Particle inertia effect on sediment dispersion in turbulent open-channel flows

Development of a model for thin films and numerical sensitivity tests

Evaluation of a Moments-Based Formulation for the Transport and Deposition of Small Inertia Aerosols

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