13.60 A furnace is located next to a dense array of cryogenic fluid piping. The ice-covered piping approximates a plane surface with an average temperature of T, = 0°C and an emissivity of ɛ, = 0.6. The furnace wall has a temperature of T,= 200°C and an emissiv- ity of ɛ, = 0.9. To protect the refrigeration equipment and piping from excessive heat loading, reflective aluminum radiation shielding with an emissivity of E, = 0.1 is placed between the piping and the furnace %3D wall, as shown in the schematic. Assume all surfaces are diffuse-gray.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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13.60 A furnace is located next to a dense array of cryogenic
fluid piping. The ice-covered piping approximates a
plane surface with an average temperature
of T, = 0°C and an emissivity of ɛ, = 0.6. The furnace
wall has a temperature of T,= 200°C and an emissiv-
ity of ɛ, = 0.9. To protect the refrigeration equipment
and piping from excessive heat loading, reflective
aluminum radiation shielding with an emissivity of
E, = 0.1 is placed between the piping and the furnace
wall, as shown in the schematic. Assume all surfaces
are diffuse-gray.
Dense piping
Furnace wall
Tf = 200°C, e = 0.9
array,
T, = 0°C,
= 0.6
Installation criterion
TNS 30°C
-Radiation shields, N
€, = 0.1
If the temperature of the shield closest to the piping
T,N must be less than 30°C, how many radiation
shields, N, must be installed between the piping and
the furnace wall?
Transcribed Image Text:13.60 A furnace is located next to a dense array of cryogenic fluid piping. The ice-covered piping approximates a plane surface with an average temperature of T, = 0°C and an emissivity of ɛ, = 0.6. The furnace wall has a temperature of T,= 200°C and an emissiv- ity of ɛ, = 0.9. To protect the refrigeration equipment and piping from excessive heat loading, reflective aluminum radiation shielding with an emissivity of E, = 0.1 is placed between the piping and the furnace wall, as shown in the schematic. Assume all surfaces are diffuse-gray. Dense piping Furnace wall Tf = 200°C, e = 0.9 array, T, = 0°C, = 0.6 Installation criterion TNS 30°C -Radiation shields, N €, = 0.1 If the temperature of the shield closest to the piping T,N must be less than 30°C, how many radiation shields, N, must be installed between the piping and the furnace wall?
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