These notes accompany the Multiphase Reactor Modeling (MRM) course (6EMA05) at TU Eindhoven. This is a preview version auto-generated using Claude Code. It is no replacement for the MRM slide deck. Each chapter corresponds to one or more lectures and provides:
concise derivation of the governing equations,
a table of the relevant pymrm building blocks,
minimal working code examples with inline figures, and
a summary of key takeaways.
The four reactor-type chapters describe the phase structure, closure correlations, and pymrm modeling strategy for important industrial reactor classes.
Lecture chapters¶
| Chapter | Topic |
|---|---|
| L1: ODE Solving | Batch/PFR models, solve_ivp, Euler methods, Newton–Raphson |
| L2: Convection-Reaction | Method of lines, FOU, TVD limiters, CFL condition |
| L3: Diffusion-Reaction | Grad/div operators, BCs, steady-state BVP, Newton solver |
| L4: Dispersion & Mass Transfer | Axial dispersion, RTD, Wakao-Funazkri, heterogeneous bed |
| L5: 2D Reactor Models | Kronecker assembly, cylindrical geometry, pellet model |
| L6–7: Maxwell-Stefan | GMS equations, B-matrix, osmotic/reverse diffusion |
| L8: Advanced Reactor Modeling | Coupled pressure-velocity, reactor-particle, surface, membrane, and Maxwell-Stefan models |
Reactor-type chapters¶
| Chapter | Reactor | Key correlations |
|---|---|---|
| Packed Bed | Fixed catalyst bed | Ergun, Edwards-Richardson, Wakao-Funazkri |
| Fluidized Bed | Gas-solid fluidized bed | Kunii-Levenspiel, Werther |
| Slurry Bubble Column | G-L-S three-phase | Krishna holdup, correlations |
| GLS Packed Bed | Trickle-bed reactor | Larkins , Lara-Marquez |