Chapter 13, Problem 13.99P

Consider two very large parallel plates. The bottom plate is warmer than the top plate, which is held at a constant temperature of $T_1=330\text{K}$ . The plates are separated by $L=0.1\text{m}$ , and the gap between the two surfaces is tilled with air at atmospheric pressure. The heat flux from the bottom plate is $q^{″}=250{\text{W/m}}^2$ .
(a) Determine the temperature of the bottom plate and the ratio of the convective to radiative heat fluxes for ${\epsilon }_1={\epsilon }_2=0.5$ . Evaluate air properties at $T=350\text{K}$ .
(b) Repeat part (a) for ${\epsilon }_1={\epsilon }_2=0.25$ and 0.75.