Consider a cylindrical metal rod of a certain diameter and length and a rectangular plastic plate of certain dimensions. The rod is suspended in air above the plate at a certain distance from the plate. The rod heats itself to a certain temperature above the ambient temperature and thus starts radiating its heat. The thermal radiation from the rod should heat the plate below.
Now my question is, is there a formula I can use to calculate the temperature rise in the plate caused due to thermal radiation from the rod?