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Journal ArticleDOI

Bubble size distribution modeling in stirred gas–liquid reactors with QMOM augmented by a new correction algorithm

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TLDR
In this article, an Eulerian multifluid approach coupled with a population balance model (PBM) has been employed to describe the evolution of the bubble size distribution due to break-up and coalescence.
Abstract
Local gas hold-up and bubbles size distributions have been modeled and validated against experimental data in a stirred gas–liquid reactor, considering two different spargers. An Eulerian multifluid approach coupled with a population balance model (PBM) has been employed to describe the evolution of the bubble size distribution due to break-up and coalescence. The PBM has been solved by resorting to the quadrature method of moments, implemented through user defined functions in the commercial computational fluid dynamics code Fluent v. 6.2. To overcome divergence issues caused by moments corruption, due to numerical problems, a correction scheme for the moments has been implemented; simulation results prove that it plays a crucial role for the stability and the accuracy of the overall approach. Very good agreements between experimental data and simulations predictions are obtained, for a unique set of break-up and coalescence kinetic constants, in a wide range of operating conditions. © 2009 American Institute of Chemical Engineers AIChE J, 2010

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Journal ArticleDOI

Multidimensional population balance model for the simulation of turbulent gas–liquid systems in stirred tank reactors

TL;DR: In this paper, a multidimensional population balance model is proposed to describe the interactions between the continuous liquid phase and the gas bubbles, as well as the interactions among different gas bubbles (e.g., coalescence and break-up), both in terms of momentum and mass coupling.
Journal ArticleDOI

Investigations on hydrodynamics and mass transfer in gas-liquid stirred reactor using computational fluid dynamics

TL;DR: In this paper, the hydrodynamics and mass transfer in a gas-liquid dual turbine stirred tank reactor are investigated using multiphase computational fluid dynamics coupled with population balance method (CFD-PBM) a steady state method of multiple frame of reference (MFR) approach is used to model the impeller and tank regions.
Journal ArticleDOI

Multivariate Quadrature-Based Moments Methods for turbulent polydisperse gas–liquid systems

TL;DR: In this paper, the Conditional Quadrature Method of Moments (CQMOM) and Direct Quadratures Method of Moment (DQmOM) are compared with Direct Simulation Monte Carlo (DSMC) for the description of gas bubble coalescence, breakage and mass transfer with the surrounding continuous liquid phase.
Journal ArticleDOI

Experimental study and numerical simulation with a coupled CFD–PBM model of the effect of liquid viscosity in a bubble column

TL;DR: In this article, the effect of liquid viscosity on the hydrodynamic behavior in a bubble column was investigated by experimental study and numerical simulation with a coupled CFD-PBM (population balance model) model.
Journal ArticleDOI

Simulation of coalescence, break-up and mass transfer in a gas-liquid stirred tank with CQMOM

TL;DR: In this paper, a multivariate population balance model is coupled with the Eulerian multi-fluid approach to describe the spatial and temporal evolution of the bubble size and composition distributions.
References
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MonographDOI

The problem of moments

J. Shohat, +1 more
TL;DR: Later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed in this paper, with a chapter devoted to approximate quadrature formulas.
Journal ArticleDOI

Drag coefficient and relative velocity in bubbly, droplet or particulate flows

TL;DR: In this article, the relative motion correlations for dispersed two-phase flows of bubbles, drops, and particles were developed from simple similarity criteria and a mixture viscosity model, and satisfactory agreements were obtained at wide ranges of the particle concentration and Reynolds number.
Journal ArticleDOI

Description of Aerosol Dynamics by the Quadrature Method of Moments

TL;DR: The quadrature method of moments (QMOM) as mentioned in this paper was proposed to determine the evolution of the lower-order moments of an unknown aerosol distribution without requiring that the size distribution or growth law maintain any special mathematical form.
Journal ArticleDOI

Bubble coalescence and break‐up in air‐sparged bubble columns

TL;DR: In this article, a Phenomenological model for the rates of bubble coalescence and bubble break-up in turbulent gas-liquid dispersions is proposed, based on the mixing of tracer gases within bubbles upon coalescence, in conjunction with Monte-Carlo simulations of coalescence events.
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