Consider a flat black surface of area A1 and temperature T1 viewing the rest of the room of area As and surface temperature Ts , with the view factor F1s=1. By Equation C-1 of Appendix C, the net q from surface A1 is given by:
Equation D-1
With Carroll’s model applied to this geometry,
Equation D-2
where
Equation D-3
Equating Equation D-1 and Equation D-2 and solving for
Equation D-4
The net heat transfer rate from surface 1 is