Pressure-Velocity Coupling in a 2D Fixed-Bed Reactor

This exercise is based on the lecture notebook L8_pressure_velocity.ipynb.

Task¶

Build a reduced version of the pressure-velocity coupled fixed-bed model and use it to explain why the superficial velocity cannot be treated as constant when gas composition, temperature, and pressure all change.

Questions¶

1. Reproduce the 1D reference calculation from the lecture notebook and report the outlet conversion, outlet temperature, and outlet velocity.

2. Implement the 2D wall-cooled model with the same state variables used in the lecture notebook.

3. Compare the 1D and 2D outlet temperature, outlet velocity, and pressure drop.

4. Plot radial profiles of temperature and concentration at three axial positions.

5. Use the ideal-gas equation to check that the pressure, temperature, total concentration, and velocity are mutually consistent.

Deliverables¶

Submit the notebook with the model definition, plots, and a short interpretation of the physical feedback loop between reaction, heat release, pressure drop, and velocity.