Fit-for-Purpose VSI Modelling Framework for Process Simulation
Abstract
:1. Introduction
2. Methodology
2.1. Modeling
2.2. Sampling Procedures
2.3. Optimization Framework
3. Results
4. Discussion
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Acknowledgments
Conflicts of Interest
Variables
Fraction of initial particle volume as daughter fragment size | |
Size-dependency parameter | |
Appearance function coefficients | |
Initial particle size | |
Material parameter | |
Rotor tip speed | |
Number of impacts | |
Fraction of broken particles | |
Error objective of optimization function | |
Mass-specific threshold energy for breakage | |
Mass-specific kinetic impact energy | |
The particle size from the cumulative particle size distribution from experimental data | |
The particle size from the cumulative particle size distribution from simulation data |
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a1,1 | 0 | 0 | 0 | 0 |
a1,2 | a2,2 | 0 | 0 | 0 |
a1,3 | a2,3 | a3,3 | 0 | 0 |
a1,4 | a2,4 | a3,4 | a4,4 | 0 |
a1,5 | a2,5 | a3,5 | a4,5 | a5,5 |
Variables | β1,β2,β3, β4 | fmat | E0min | α |
---|---|---|---|---|
Lower Bound | –1000 | 0.001 | 0 | 0 |
Upper Bound | 1000 | 3 | 30 | 1 |
Geological Type | Site Location | Top Size | fmat | Source | E0min | α |
---|---|---|---|---|---|---|
Diabase | Ubbarp | 19 mm | 0.25 | Default Feed | 21.04 | 0.94 |
Diorite | Borlänge | 11.2 mm | 0.75 | Default Feed | 16.29 | 0.94 |
Dolomite | Glanshamar | 11.2 mm | 1.3 | Individual Feeds | 14.83 | 0.91 |
Gneiss | Umeå | 19 mm | 0.8 | Individual Feeds | 18.61 | 0.92 |
Gneiss | Atle | 19 mm | 0.68 | Default Feed | 22.8 | 0.88 |
Gneiss | Össjö | 4 mm | 1.73 | Default Feed | 29.22 | 0.99 |
Gneissic Granite | Skyttorp | 11.2 mm | 1.7 | Default Feed | 15.79 | 0.93 |
Gneissic Granite | Önnestad | 11.2 mm | 1.32 | Default Feed | 26.54 | 0.86 |
Granite | Tierp | 11.2 mm | 2.18 | Unique Feeds | 16.74 | 0.96 |
Granite | Gävle | 4 mm | 1.45 | Unique Feeds | 20.48 | 0.92 |
Granite | Gävle | 11.2 mm | 2.08 | Unique Feeds | 19.39 | 0.9 |
Granite | Gävle | 11.2 mm | 1.63 | Unique Feeds | 17.91 | 0.82 |
Granite | Kållered | 16 mm | 1.36 | Individual Feeds | 15.45 | 0.85 |
Granitic Gneiss | Enhörna | 19 mm | 2.02 | Default Feed | 15.48 | 0.91 |
Granitoid | Bro | 10 mm | 0.06 | Individual Feeds | 28.02 | 0.81 |
Granodiorite | Sunderbyn | 11.2 mm | 1.92 | Individual Feeds | 23.48 | 0.95 |
Limestone | Forsby | 19 mm | 2.35 | Default Feed | 25.22 | 0.82 |
Porphyry | Kiruna | 10 mm | 0.39 | Individual Feeds | 16.83 | 0.88 |
Quartzite | Gåsgruvan | 19 mm | 0.25 | Default Feed | 21.04 | 0.94 |
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Grunditz, S.; Asbjörnsson, G.; Hulthén, E.; Evertsson, M. Fit-for-Purpose VSI Modelling Framework for Process Simulation. Minerals 2021, 11, 40. https://doi.org/10.3390/min11010040
Grunditz S, Asbjörnsson G, Hulthén E, Evertsson M. Fit-for-Purpose VSI Modelling Framework for Process Simulation. Minerals. 2021; 11(1):40. https://doi.org/10.3390/min11010040
Chicago/Turabian StyleGrunditz, Simon, Gauti Asbjörnsson, Erik Hulthén, and Magnus Evertsson. 2021. "Fit-for-Purpose VSI Modelling Framework for Process Simulation" Minerals 11, no. 1: 40. https://doi.org/10.3390/min11010040