This work analyses the contribution of radiation heat transfer in the cooling
of a pebble bed modular reactor. The mathematical model, developed for a
porous medium, is based on a set of equations applied to an annular
geometry. Previous major works dealing with the subject have considered the
forced convection mode and often did not take into account the radiation
heat transfer. In this work, only free convection and radiation heat
transfer are considered. This can occur during the removal of residual heat
after shutdown or during an emergency situation. In order to derive the
governing equations of radiation heat transfer, a steady-state in an
isotropic and emissive porous medium (CO2) is considered. The obtained
system of equations is written in a dimensionless form and then solved. In
order to evaluate the effect of radiation heat transfer on the total heat
removed, an analytical method for solving the system of equations is used.
The results allow quantifying both radiation and free convection heat
transfer. For the studied situation, they show that, in a pebble bed modular
reactor, more than 70% of heat is removed by radiation heat transfer when
CO2 is used as the coolant gas.