Discussion Forum

Hello dear colleagues,

I am modeling heat transfer in a porous packed bed and I want to avoid T^4 terms (numerical stability), so, I want to model radiation in a simple way. The idea is to either lump radiation into conduction or make a simple source term for it.

The latter option would yield something like:
Radiation heat transferred = Boltzmann_constant * emissivity * surface_between_elements * average_temperature * (temperature_element_1-temperature_element_2)

OR: Q_rad = sigma * epsilon * T_av^3 * (T_1 - T_0)

But for this I need the temperature of the neighboring elements. How do I call those? Is there a better way to describe this idea? Is there a way to properly describe this using dT/dx (like conduction) ?

Thanks for any suggestions. Kind regards,

Ray