Mathematical modelling of heat transfer in a catalytic reformer.

*(English)*Zbl 1081.80005The paper deals with mathematical modeling of the steady-state chemical reactions in two channels connected by thin conducting walls. The channels are packed with catalytic pellets that promote exothermic catalytic combustion reactions and endothermic reforming reactions in adjacent channels. The authors investigate the energy transfer from one channel to the other via a thin conducting wall. The behaviour of the temperature and the concentration of methane along the channels are described by a 1D model, while the change in temperature across as well as along the wall are described by a 2D model.

The authors highlight, using an accurate asymptotic technique, how the temperatures in the channels are coupled, and have presented two examples, one for a set of model parameters and the other for a set of industrial parameters. It is also considered how the structure (the geometry and the thermal conductivity of the wall) affects the coupling between the channels, and several numerical examples are presented focusing on the case with layered walls.

The authors highlight, using an accurate asymptotic technique, how the temperatures in the channels are coupled, and have presented two examples, one for a set of model parameters and the other for a set of industrial parameters. It is also considered how the structure (the geometry and the thermal conductivity of the wall) affects the coupling between the channels, and several numerical examples are presented focusing on the case with layered walls.

Reviewer: Vladimir SlĂˇdek (Bratislava)

##### MSC:

80A25 | Combustion |

80A20 | Heat and mass transfer, heat flow (MSC2010) |