| Abbreviations | |
| USD | United States Dollar |
| CFD | Computational fluid dynamics |
| CRK | Cell reaction kinetic |
| DO | Dissolved oxygen |
| EE | Euler-Euler |
| EL | Euler-Lagrange |
| LDV | Laser Doppler Velocimetry |
| PBMs | Population balance models |
| PIV | Particle Image Velocimetry |
| rCFD | Recurrence-CFD |
| TVD | Total Variation Diminishing |
| Symbols | |
| µ | Viscosity of the liquid (cP) |
| Di | Impeller diameter (m) |
| dp | Particle diameter (m) |
| kLa | Volumetric mass transfer coefficient (1/h) |
| L | Distance between particles/characteristic system length (m) |
| N | Agitation rate |
| P/V | Power density (W/m3) |
| St | Stokes number |
| v | Characteristic velocity (m/s) |
| λk | Kolmogorov length (μm) |
| ρ | Density of liquid (kg/m3) |
| ρ′ | Density of dispersed or particulate phase (kg/m3) |
| τ | Shear stress (N/m2) |
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