A convection oven circulates air such that it passes over the door of an oven as shown in the diagram. The door has a height of H = 1 m. The oven is operated at a temperature of T = 220 C and U= 2m/s. If the ambient temperature of the room is Tamb = 20C, how thick (x) should the oven door (kd = 0.1 W/m*K) be to ensure that at steady state the exterior surface never exceeds Tex = 40 C? What is the surface temperature on the interior of the oven? For simplicity and consistency use the properties of air provided below both inside and outside the oven.

A convection oven circulates air such that it passes over the door of an oven as shown in the diagram. The door has a height of H=1m. The oven is operated at a temperature of T=220C. If the ambient temperature of the room is Tamb=20C, how thick (x) should the oven door (kd= 0.1W/mK) be to ensure that at steady state the exterior surface never exceeds Tex=40C ? What is the surface temperature on the interior of the oven? For simplicity and consistency use the properties of air provided below both inside and outside the oven