You are designing an industrial furnace to keep sheet metal at a fixed temperature. You decide a long, hemispherical furnace will be the best choice. The hemispherical portion is built from insulating brick to reflect the radiation from a ceramic plate onto the sheet metal, and the ceramic plate is heated by gas burners from below. The radius of the hemisphere is 1 m and the rest of the system properties can be found in the table below. You may neglect convection during your analysis. Temperature Emissivity Ceramic Plate 1600 K ε = 0.85 Sheet Metal 500 K ε = 1 Insulating Brick unknown ε = 0.6 a) Calculate the required heat input per unit length of the furnace (out of the page) that must be supplied by the gas burners. b) What is the temperature of the insulating brick surface?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.10P
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You are designing an industrial furnace to keep sheet metal at a fixed temperature. You
decide a long, hemispherical furnace will be the best choice. The hemispherical portion is
built from insulating brick to reflect the radiation from a ceramic plate onto the sheet
metal, and the ceramic plate is heated by gas burners from below. The radius of the
hemisphere is 1 m and the rest of the system properties can be found in the table below.
You may neglect convection during your analysis.
Temperature
Emissivity
Ceramic Plate
1600 K
ε = 0.85
Metal products (2)
T₂ = 500 K, ₂ = 1
Sheet Metal
500 K
ε = 1
a) Calculate the required heat input per unit length of the furnace (out of the page)
that must be supplied by the gas burners.
b) What is the temperature of the insulating brick surface?
Insulating wall
separating zones
Insulating Brick
unknown
ε = 0.6
-Insulating brick (3),
&3 = 0.6
- Ceramic plate (1)
T₁ = 1600K, &₁ = 0.85
Gas
burners
Transcribed Image Text:You are designing an industrial furnace to keep sheet metal at a fixed temperature. You decide a long, hemispherical furnace will be the best choice. The hemispherical portion is built from insulating brick to reflect the radiation from a ceramic plate onto the sheet metal, and the ceramic plate is heated by gas burners from below. The radius of the hemisphere is 1 m and the rest of the system properties can be found in the table below. You may neglect convection during your analysis. Temperature Emissivity Ceramic Plate 1600 K ε = 0.85 Metal products (2) T₂ = 500 K, ₂ = 1 Sheet Metal 500 K ε = 1 a) Calculate the required heat input per unit length of the furnace (out of the page) that must be supplied by the gas burners. b) What is the temperature of the insulating brick surface? Insulating wall separating zones Insulating Brick unknown ε = 0.6 -Insulating brick (3), &3 = 0.6 - Ceramic plate (1) T₁ = 1600K, &₁ = 0.85 Gas burners
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