Development and implementation of a polydispersed multiphase flow model in OpenFOAM

Modeling and simulation of mixing in water-in-oil emulsion flow through a valve-like element using a population balance model

“…Due to their easy application, reasonable accuracy and computational cost, the moment methods are preferable to couple the population balance with CFD codes (Wang et al, 2006;Zucca et al, 2006;Silva and Lage, 2011;Yan et al, 2011;Buffo et al, 2012). These methods solve for a selected set of lower order moments of the particle distribution function (PDF).…”

“…In this perspective, the use of computational fluid dynamics (CFD) to solve an Eulerian multi-fluid model coupled with a population balance model (PBM) has shown to be an efficient tool to simulate polydisperse multiphase flow (Chen et al, 2005;Zucca et al, 2006;Silva et al, 2008;Petitti et al, 2010Petitti et al, , 2013Passalacqua et al, 2010;Silva and Lage, 2011;Yan et al, 2011;Buffo et al, 2012Buffo et al, , 2013a. Recently, Marchisio and Fox (2013) showed that this formulation can be deduced directly from the so-called generalized population balance equation (GPBE) that is basically the conservation equation for the particle number density including its dependence on all particle and fluid variables that may affect the particulate system behavior.…”

“…For the PB-CFD coupling, each quadrature node that DQMoM evolves can be treated as a distinct phase, with its own properties, velocity, size, surface area, and so on (Silva and Lage, 2011;Mazzei et al, 2010).…”

Hydrodynamical Simulation of Perspective Installations for Electrometallurgy of Aluminium

“…The problem of description of a dispersed bubble flows in the vertical gap is satisfactory studied to this day for monodisperse bubble flow with 0.1 0.2  . There exists several models for polydisperse flows (see, for example (Krepper et al, 2007), (Silva & Lage, 2011), (Guan Heng Yeoh & Jiyuan Tu, 2010). Since the gas volume fraction in VAE may amount to the values of some tens percents, the bubble flow in the vertical working space may be really polydisperse due to various departure diameters and coalescence as it is sketched in Fig.5.…”

Modelling of Bubbly Flow Using CFD-PBM Solver in OpenFOAM: Study of Local Population Balance Models and Extended Quadrature Method of Moments Applications

“…Detailed models using the locally polydisperse approach give more information on the secondary phase behavior (Dhanasekharan et al [20]; Venneker et al [21]). The most used methods of locally polydisperse models are the Method of Classes (CM) (Balakin et al [22]; Bannari et al [1]; Becker et al [23]; Kumar and Ramkrishna [24]; Kumar and Ramkrishna [25]; Puel et al [26]), Quadrature Method of Moments (QMOM) (McGraw [27]; Marchisio et al [28]; Marchisio et al [29]; Marchisio et al [30]; Sanyal et al [31]) and Direct Quadrature Method of Moments (DQMOM) (Silva and Lage [32]; Selma et al [33]; Marchisio and Fox [34]). The method of classes, while intuitive and accurate, is computationally intensive due to the large number of classes required to finely discretize the Number Density Function (NDF) with a large number of classes.…”