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Q: Coated metallic disks are cured by placing them at the top of a cylindrical furnace whose bottom surface is electrically heated and whose sidewall may be approximated as a reradiating surface. Curing is accomplished by maintaining a disk at T2 = 400 K for an extended period. The electrically heated surface is maintained at T1 = 800 K and is mounted on a ceramic base material of thermal conductivity k = 20 W/m ?c K. The bottom of the base material, as well as the ambient air and large surroundings above the disk, are maintained at a temperature of 300 K. Emissivities of the heater and the disk inner and outer surfaces are e1 = 0.9, e2, i = 0.5, and e2,o = 0.9, respectively. Assuming steady-state operation and neglecting convection within the cylindrical cavity, determine the electric power that must be supplied to the heater and the convection coefficient h that must be maintained at the outer surface of the disk in order to satisfy the prescribed conditions.
