## Appendix D-Determining the Form of the Self-weighting Term

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

with similar expressions for