The wall of an oven used to cure plastic parts is of thickness L = 0.05 m and is exposed to large surround- ings and air at its outer surface. The air and the sur- roundings are at 300 K.

(a) If the temperature of the outer  surface  is  400 K and its convection coefficient and emissivity are h = 20 W/m2 · K and s = 0.8, respectively, what is the temperature of the inner surface if the wall has a thermal conductivity of k = 0.7 W/m2 · K?

(b) Consider conditions for which the temperature of the inner surface is maintained at 600 K, while the air and large surroundings to which the outer surface is exposed are maintained at 300 K. Explore the effects of variations in k, h, and s on (i) the temperature of the outer surface, (ii) the heat flux through the wall, and (iii) the heat fluxes associated with convection and radiation heat transfer from the outer surface. Specifically, compute and plot the foregoing depen- dent variables for parametric variations about base- line conditions of k = 10 W/m · K, h = 20 W/m2 · K, and s = 0.5. The suggested ranges of the indepen- dent variables are 0.1 k 400 W/m · K, 2 h 200 W/m2 · K, and 0.05 s 1. Discuss the physi- cal implications of your results. Under what conditions will the temperature of the outer surface be less than 45°C, which is a reasonable upper limit to avoid burn injuries if contact is made?