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Population Balance

An open-source quadrature-based population balance solver for OpenFOAM

An open-source quadrature-based population balance solver for OpenFOAM

... discrete population of particles can be described by a population balance equation (PBE) (Ramkrishna, 2000), which is an evolution equation for the number density function (NDF) asso- ciated to the ...

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QMOM-based population balance model involving a fractal dimension for the flocculation of latex particles

QMOM-based population balance model involving a fractal dimension for the flocculation of latex particles

... A population balance equation (PBE) was adapted to our problem by including the fractal dimension in its formulation as well as in the aggregation and breakage ...

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Discussion on DQMOM to solve a bivariate population balance equation applied to a grinding process

Discussion on DQMOM to solve a bivariate population balance equation applied to a grinding process

... on population bal- ance equations either in homogenous conditions or heterogeneous sys- tems combining CFD ...the population density or the particle distribution during continuous processes (growth, disso- ...

13

Development, validation and application of population balance models in Eulerian approach for bubbly flow reactors

Development, validation and application of population balance models in Eulerian approach for bubbly flow reactors

... In order to optimize and design new bubbly flow reactors, it is necessary to predict the bubble behavior and properties with respect to the time and location. In gas-liquid flows, it is easily observed that the bubble ...

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Population balance in confined comminution using a physically based probabilistic approach for polydisperse granular materials

Population balance in confined comminution using a physically based probabilistic approach for polydisperse granular materials

... computed by the proposed method increased. By neglecting this effect, the predictions of crushing are too low, and the shape of the curve cannot be accurately obtained. 4. CONCLUSIONS In this paper, a strategy to ...

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Determination of population balance distributions by the moment method combined with a Chebyshev spline reconstruction

Determination of population balance distributions by the moment method combined with a Chebyshev spline reconstruction

... Lmin =0.001, Lmax = 30.] Population Balance Method of classes : « Reference » Quadrature of Moments Discretized moments Moments Spline reconstruction.. Lalleman : Study of Neodymium Ox[r] ...

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Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes

Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes

... a population of fine particles in a carrier fluid is still a major challenge for many ...the population balance equation with aggregation, continuous particle size change (growth and size reduction), ...

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Amorphous magnesium silicate ultrasound-assisted precipitation in a mixing system: Population balance modelling and crystallization rates identification

Amorphous magnesium silicate ultrasound-assisted precipitation in a mixing system: Population balance modelling and crystallization rates identification

... The population balance is modelled and solved by moments method in the steady state to identify nucleation and growth rates and agglomeration kernel as a function of operating conditions and to understand ...

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Experimental Characterization and Population Balance Modelling of the Dense Silica Suspensions Aggregation Process

Experimental Characterization and Population Balance Modelling of the Dense Silica Suspensions Aggregation Process

... The experiments were performed in a batch agitated vessel. The evolution of the particle size distributions versus time during the process of aggregation was particularly followed on line by acoustic spectroscopy in ...

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New developments of the Extended Quadrature Method of Moments to solve Population Balance Equations

New developments of the Extended Quadrature Method of Moments to solve Population Balance Equations

... Abstract Population Balance Models have a wide range of applications in many industrial fields as they allow accounting for heterogeneity among properties which are crucial for some system ...a ...

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A two-dimensional population balance model for cell growth including multiple uptake systems

A two-dimensional population balance model for cell growth including multiple uptake systems

... a population doubling time whereas the microorganisms’ growth in mass is due to the mass transfer of substrates from the liquid phase to the biotic ...two-dimensional population balance model that ...

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Discussion on DQMOM to solve a bivariate population balance equation applied to a grinding process

Discussion on DQMOM to solve a bivariate population balance equation applied to a grinding process

... on population bal- ance equations either in homogenous conditions or heterogeneous sys- tems combining CFD ...the population density or the particle distribution during continuous processes (growth, disso- ...

12

New developments of the Extended Quadrature Method of Moments to solve Population Balance Equations

New developments of the Extended Quadrature Method of Moments to solve Population Balance Equations

... Population Balance Mathematical modelling Gauss quadrature Population Balance Models have a wide range of applications in many industrial fields as they allow accounting for heterogeneity ...

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A generalized population balance model for the prediction of droplet size distribution in sprays

A generalized population balance model for the prediction of droplet size distribution in sprays

... / La version de cette publication peut être l’une des suivantes : la version prépublication de l’auteur, la version acceptée du manuscrit ou la version de l’éditeur. Access and use of [r] ...

7

Budget-Balance, Fairness and Minimal Manipulability

Budget-Balance, Fairness and Minimal Manipulability

... JEL Classification: C71, C78, D63, D71, D78. Key Words: Minimal manipulability, fairness, budget-balance, allocation rules. 1 Introduction Many real-life problems involve the allocation of indivisible objects among ...

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Balance émotionnelle dans les troubles anxieux et dépressifs

Balance émotionnelle dans les troubles anxieux et dépressifs

... Accepted Manuscript La notion de balance émotionnelle est directement issue des modèles psychologiques basés sur la distinction des émotions positives et négatives. Watson et Clark [1,2,10-13] ont notamment ...

11

Balance control for an underactuated leg exoskeleton based on capture point concept and human balance strategies

Balance control for an underactuated leg exoskeleton based on capture point concept and human balance strategies

... plane balance is assumed by the operator himself, since the device carries its own weight and an additional ...load. Balance control is an important field in biped robotics since falling down can cause ...

8

Carbon balance of two Belgian crops

Carbon balance of two Belgian crops

... (moureaux.c@fsagx.ac.be / Fax: +32 81 62 24 39 / Phone: +32 81 62 24 92) The CO 2 fluxes exchanged by a crop situated at the CarboEurope-IP site of Lonzée (Belgium) have been measured for two years at different spatial ...

1

Breathing through a spirometer perturbs balance

Breathing through a spirometer perturbs balance

... upms univ paris 6, France KEYWORDS stabilometry; respiratory frequency; posture; ventilation 1. Introduction Natural breathing is known to induce at each inspiration/ expiration, minimal perturbations of body ...

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Rôle de l'inflammation hypothalamique dans les dérégulations de la balance énergétique

Rôle de l'inflammation hypothalamique dans les dérégulations de la balance énergétique

... 37 en tant que modulateurs positifs de la balance énergétique, des études génétiques ont abouti à des résultats parfois contradictoires. Par exemple, aucune altération du poids ou du comportement alimentaire n’a ...

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