A random particle method to simulate coalescence phenomena in dense liquid sprays

Hylkema, J.; Villedieu, Philippe

doi:10.1007/bfb0106627

Cited by 13 publications

(22 citation statements)

References 3 publications

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“…Euler-Lagrange numerical methods are commonly used for the calculation of polydisperse sprays in various application fields (see for example [10,14,30,36] and the references therein). In this kind of approach, the gas phase is generally computed with a finite volume Eulerian solver, while the dispersed phase is treated with a random particle method.…”

Section: A Reference Lagrangian Solvermentioning

confidence: 99%

“…A lot of MonteCarlo algorithms have been proposed in the literature for the treatment of droplet collisions ( [2,10,14,30,37]). They are all inspired by the methods used in molecular gas dynamics [38] and, in particular, they suppose that the computational domain is divided into cells, or control volumes, which are small enough to consider that the droplet distribution function is almost uniform over them.…”

Section: A Reference Lagrangian Solvermentioning

confidence: 99%

“…We refer, for example, to [11,30] or [2] for more details. Here, for the sake of completeness, we present the main features of the numerical method that we used in order to provide a ''reference numerical solution''.…”

Section: A Reference Lagrangian Solvermentioning

confidence: 99%

“…We want to, firstly, validate this model by with a reference Lagrangian solver which uses an efficient and already validated stochastic algorithm for the description of droplet coalescence [30]. We need a well-defined configuration, both of stationary and unstationary laminar flows where evaporation, coalescence and the dynamics of droplets of various sizes are coupled together.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, relying on [8] for the multi-fluid approach analysis and on [29,30] for coalescence phenomena modeling, we derive a Eulerian multi-fluid model for the description of sprays when coalescence is present and thus extend the multi-fluid approach to dense sprays. For the sake of legibility of the paper, this derivation is presented in a simplified framework: we do not take into account convective correction to the vaporization rate and drag force, the unstationary heating of the droplets, as well as the lost of kinetic energy through the coalescence phenomenon; these assumptions are not restrictive as will be explained in the text.…”

Section: Introductionmentioning

confidence: 99%

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Eulerian multi-fluid modeling for the numerical simulation of coalescence in polydisperse dense liquid sprays

Laurent

Massot

Villedieu

2004

Journal of Computational Physics

114

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Section: A Reference Lagrangian Solvermentioning

confidence: 99%

Section: A Reference Lagrangian Solvermentioning

confidence: 99%

Section: A Reference Lagrangian Solvermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Eulerian multi-fluid modeling for the numerical simulation of coalescence in polydisperse dense liquid sprays

Laurent

Massot

Villedieu

2004

Journal of Computational Physics

114

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Modeling and Simulation of Evaporating Spray Flows with Coalescence in an Eulerian Framework

Gopireddy

Humza

Gutheil

2012

Chemie Ingenieur Technik

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The study concerns the modeling and simulation of gas-droplet and droplet-droplet interactions on spray dynamics and droplet size distribution in turbulent spray flows where the spray is described in an Eulerian framework. The primary focus is to develop a suitable mathematical model that can describe the underlying physics including the polydispersion of the spray, evaporation, drag, coalescence, and interaction with the convective gas flow. This is achieved by applying the direct quadrature method of moments, which is extended to account for evaporation, drag force and coalescence by implementing well-established standard models available in literature. The model is developed and formulated in three-dimensional physical space, whereas the computations are carried out in a one-dimensional geometric configuration since the reference experimental setup is only one-dimensional. A water spray carried by nitrogen was injected through a hollow cone nozzle into a cylindrical spray chamber. The results reveal that evaporation and coalescence have a significant effect on the droplet size distribution whereas the droplet velocity is influenced by drag force as anticipated. Computational and experimental results agree very well when coalescence is considered.

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Multiphase Reacting Flows: Modelling and Simulation

Marchisio¹,

Fox²

2007

CISM International Centre for Mechanical Sciences

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PREFACEThis book entitled ''Multiphase reacting flows: modelling and simulation'' contains the lecture notes of the CISM (International Centre for Mechanical Sciences) course held in Udine, Italy, on July 3-7, 2006, and it describes various modelling approaches for dealing with polydisperse multiphase reacting flows. A multiphase reacting system is characterized by the presence of multiple phases and in this book we focus on disperse multiphase systems, where one phase can be considered as a continuum, whereas the additional phases are dispersed in the continuous one. In other words, in this book we deal with multiphase systems constituted by particles, droplets or bubbles (i.e., solid particles suspended in a continuous liquid phase, liquid droplets in a gaseous phase, or gas bubbles in liquid.)The other important characteristic elements of the systems discussed in this book are the presence of one or more chemical reactions and the turbulent nature of the flow. The chemical reactions usually involve all the phases present in the system and might be responsible for the formation or disappearance of the disperse and/or continuous phases. The evolution of the different phases is not only governed by chemical reactions, but also by other fluid-dynamical interactions between the continuous and the disperse phases, and by interactions among elements of the disperse phases, such as coalescence, aggregation, agglomeration and break-up.All these phenomena are closely linked together resulting in what is known as phase coupling. When the continuous phase influences the disperse phase, we usually refer to one-phase coupling, whereas when the continuous phase influences the disperse phase and vice versa, we talk about two-way coupling. When also interactions between elements of the disperse phases are important, we must describe the turbulent system in terms of so-called four-way coupling.The evolution of the disperse phase and its interactions with the continuous phase can be mathematically described at the mesoscopic level by the generalized population balance equation, also known as the Boltzmann-Williams equation. This book contains a detailed derivation of this equation, and presents several numerical approaches to solve it. In particular, the derivation ofEulerian classes methods (or multi-fluid approaches) is presented both for the solution of laminar and turbulent multiphase systems. Moreover the use of alternative Eulerian methods, such as moment methods coupled with quadrature approximations, is also presented. The book deals also with the use ofLagrangian approaches such as direct particle tracking methods and Lattice-Boltzmann methods. Moreover, reference to the general modelling framework for turbulent flows (i.e. Reynolds-Average Navier Stokes approach, Large-Eddy Simulation and Direct Numerical Simulation) is made, as well as to computational details and numerical issues.In the first chapter, Fox provides an overview of the basic formulation and conceptual ideas needed for modelling polydisperse multiphase s...

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A random particle method to simulate coalescence phenomena in dense liquid sprays

Cited by 13 publications

References 3 publications

Eulerian multi-fluid modeling for the numerical simulation of coalescence in polydisperse dense liquid sprays

Eulerian multi-fluid modeling for the numerical simulation of coalescence in polydisperse dense liquid sprays

Modeling and Simulation of Evaporating Spray Flows with Coalescence in an Eulerian Framework

Multiphase Reacting Flows: Modelling and Simulation

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