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Showing 1 to 10 of 10 for “"Population balance equations"”.
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Computational Fluid Dynamics and Population Balance Modeling of Particulate Systems
… The models focus on the combination of population balance equations and computational fluid dynamics software. For the simulation of antisolvent crystallization, knowledge of kinetics at high supersaturation are necessary. Chapter 2 describes the concentration profile within a …
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Cluster kinetics modeling of glassforming materials
… and their clusters. Mathematical solutions of population balance equations for monomer and cluster lead to molar concentrations in terms of rate coefficients of the reaction-like mechanisms. These are then related to viscosity or dielectric relaxation time through free volume theory. The …
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Finite element and population balance models for food-freezing processes
… process. This is achieved through the use of population balance equations (PBE). Crystal size and corresponding hardened ice cream coarseness can be predicted through the PBE model presented in this thesis. The crystallization results are validated through previous experimental study. After …
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Stochastic modelling of silicon nanoparticle synthesis
… simulate the formation of silicon nanoparticles. Population balance modelling is used to model nanoparticle synthesis and a stochastic numerical method is used to solve the governing equations. The population balance models are coupled to chemical kinetic models and offer insight into the …
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Particle size prediction in reactive precipitation processes
… need to be accurately tracked. Discretized Population Balance (DPB) methods can accurately model precipitation process in well-mixed, uniform shear environments, but the implementation of DPB routines into CFD codes results in intractable problems.;One excellent alternative to the DPB is the …
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Simulation methods for polydisperse, multiphase flows using moment methods
… two fluid model coupled to the moment transport equations of a monokinetic number density function (NDF). This provides the stability of a two-fluid solver, while adding additional accuracy that comes from the inclusions of a range of sizes, and corresponding velocities. The algorithm is first …
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Mathematical modelling and optimisation of the formulation and manufacture of aggregate food products
… on breakage during subsequent conveying. A population balance model was developed to analyse the particle breakage occurring during pneumatic conveying. The population balance equations that govern this breakage process are solved using discretization. The Markov chain method was used for …
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Nucleation and growth: models for faceted and layered materials
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms
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Multiphase particle-size-grouping model of precipitation and its application to thermal processing of microalloyed steel
… model.Next, a kinetic growth model based on population balance and Particle-Size-Grouping (PSG) method gives the volume fraction and size distribution of precipitates evolving with time. The method features geometrically-based thresholds between each size group, reasonable estimates of border …