An incinarator with (0.5) inch steel walls in lined with (6) inch of firebrick to protect...

An incinarator with (0.5) inch steel walls in lined with (6) inch of firebrick to protect the steel and has (3.5) inch of magnesia insulation on the outside. When the gas temperature is (1550)°F, the inside wall of the firebrick is at (1250) °F as measured by an optical pyrometer.

Take thermal conductivities as below:
k_firebrick = 0.98 Btu/hr-ft°F , k_steel = 26 Btu/hr-ft°F, k_magnesia = 0.034 Btu/hr-ft°F.
Assume A = 1 ft² Assume the outside surface of magnesia is 120°F

(a) What is the total resistance?
R_Total =  °F hr/Btu

(b) What is the rate of heat transfer?
Q/A =  Btu/hr. ft²

(c) What is the temperature of the steel wall? (between fire brick and steel)
T =  °F

(d) How much insulation would be needed to raise the inside wall temperature to 1400. °F ?
The heat transfer rate Q/A would be slightly reduced, but assume it is unchanged.

x =  in

Expert Solution

from given data we can find the overall resistance hence heat trasnfer

the insulation thickness required to rasie inside temperature is 3.96 inch (0.33 ft)

for any doubts write in comments

Amanda K answered 2 months ago

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