Superheated steam at 575ºC is routed from a boiler to the turbine of an electric power plant through  steel tubes (k = 35 W/m K) of 300 mm inner diameter and 30 mm wall thickness. To reduce heat loss  to the surroundings and to maintain a safe-to-touch outer surface temperature, a layer of calcium  silicate insulation (k = 0.10 W/m K) is applied to the tubes, while degradation of the insulation is  reduced by degradation of the insulation is reduced by wrapping it in a thin sheet of aluminium having  an emissivity of ε= 0.20. The air and wall temperatures of the power plant are 27ºC. Assume that the  inner surface temperature of a steel tube corresponds to that of the steam and the convection coefficient  outside the aluminium sheet is 6 W/m2 K,  (a) What is the minimum insulation thickness needed to ensure that the temperature of the  aluminium does not exceed 50ºC?  (b) What is the corresponding heat loss per unit meter?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
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Problem 8.8P
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Superheated steam at 575ºC is routed from a boiler to the turbine of an electric power plant through 
steel tubes (k = 35 W/m K) of 300 mm inner diameter and 30 mm wall thickness. To reduce heat loss 
to the surroundings and to maintain a safe-to-touch outer surface temperature, a layer of calcium 
silicate insulation (k = 0.10 W/m K) is applied to the tubes, while degradation of the insulation is 
reduced by degradation of the insulation is reduced by wrapping it in a thin sheet of aluminium having 
an emissivity of ε= 0.20. The air and wall temperatures of the power plant are 27ºC. Assume that the 
inner surface temperature of a steel tube corresponds to that of the steam and the convection coefficient 
outside the aluminium sheet is 6 W/m2 K, 
(a) What is the minimum insulation thickness needed to ensure that the temperature of the 
aluminium does not exceed 50ºC? 
(b) What is the corresponding heat loss per unit meter?

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