Find the heat transfer per unit area due to radiation between two infinite long parallel planes. The first plane has emissivity 0.4 and is maintained at 245^oC. The emissivity of the second plane is 0.2 and maintained at 27^oC. A radiation shield having emissivity of 0.5 is introduced between given two planes. Find the percentage reduction in the heat transfer rate. Refer the image in simulation.
$$Percentage Reduction = \frac{(\frac{Q}{A})_w - (\frac{Q}{A})_s}{(\frac{Q}{A})_w} * 100$$

Find the heat transfer per unit area due to radiation between two infinite long parallel planes. The first plane has emissivity 0.4 and is maintained at 245^oC. The emissivity of the second plane is 0.2 and maintained at 27^oC. A radiation shield having emissivity of 0.5 is introduced between given two planes. Find the steady state temperature of the shield. Refer the image in simulation.
$$T_3 = [\frac{- \frac{Q}{A}_s \frac{1}{\epsilon_1}+\frac{1}{\epsilon_3} - 1}{\sigma}{T_1^4}]$$