13.75 disks are cured by placing them at the top bottom surface is electrically heated and whose sidewall may be approximated as a reradiating surface. Curing is accomplished by maintaining a disk at T, = 400 K for an extended period. The electrically heated surface is maintained at T, = 800 K and is mounted on a ceramic base material of thermal conductivity k = 20 W/m · 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 & = 0.9, ɛ2 i= 0.5, and ɛ2 o = 0.9, respectively.

Elements Of Electromagnetics
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13.75 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 T, = 400 K for an extended period. The electrically heated surface is maintained at T, = 800 K and is
mounted on a ceramic base material of thermal conductivity k = 20 W/m · 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 ɛ, = 0.9, E2 j= 0.5, and ɛ2 o = 0.9, respectively.
sur
= 300 K
T, h
-T2, E2.i E2,0
L. = 200 mm
-T1, Ɛ1
L, = 25 mm
k, = 20 W/m •K
D =
-T, = 300 K
+120 mm-►|
Assuming steady-state operation and neglecting convection within the cylindrical cavity, determine the electrical 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.
11
Transcribed Image Text:13.75 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 T, = 400 K for an extended period. The electrically heated surface is maintained at T, = 800 K and is mounted on a ceramic base material of thermal conductivity k = 20 W/m · 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 ɛ, = 0.9, E2 j= 0.5, and ɛ2 o = 0.9, respectively. sur = 300 K T, h -T2, E2.i E2,0 L. = 200 mm -T1, Ɛ1 L, = 25 mm k, = 20 W/m •K D = -T, = 300 K +120 mm-►| Assuming steady-state operation and neglecting convection within the cylindrical cavity, determine the electrical 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. 11
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