To satisfy energy balance through the surface, we need some kind of treatment. The simplest case is simply that T_surf in the atmosphere equals T_surf at the top of the MO, but this isn't realistic.
Instead, we can assume a conductive skin of thickness d and conductivity k. Then, the atmosphere has to carry a flux that is equal to whatever the skin can conduct (global energy balance). The model will need to solve for the T_surf in the atmosphere that satisfies this, which will be less than that of the MO below.
To satisfy energy balance through the surface, we need some kind of treatment. The simplest case is simply that T_surf in the atmosphere equals T_surf at the top of the MO, but this isn't realistic.
Instead, we can assume a conductive skin of thickness d and conductivity k. Then, the atmosphere has to carry a flux that is equal to whatever the skin can conduct (global energy balance). The model will need to solve for the T_surf in the atmosphere that satisfies this, which will be less than that of the MO below.
This can be done using a root-finding method.