Consider a machine surface that is made of a 5-mm thick alu- minum with a thermal conductivity of 237 W/m-K. During operation the machine dissipates about 300 W/m² of heat to the surroundings, and the inner aluminum surface is at 150°C. To prevent machine operators from thermal burns, the machine surface can be covered with insulation. The aluminum/ insulation interface has a thermal contact conductance of 3000 W/m²-K. What is the thickness required for the insulation layer with a thermal conductivity of 0.06 W/m-K in order to maintain the surface temperature at 45°C or lower? Insulation Aluminum machine surface k = 237 W/m-K 150°C

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider a machine surface that is made of a 5-mm thick alu-
minum with a thermal conductivity of 237 W/m-K. During
operation the machine dissipates about 300 W/m² of heat to the
surroundings, and the inner aluminum surface is at 150°C. To
prevent machine operators from thermal burns, the machine
surface can be covered with insulation. The aluminum/
insulation interface has a thermal contact conductance of
3000 W/m²-K. What is the thickness required for the insulation
layer with a thermal conductivity of 0.06 W/m-K in order to
maintain the surface temperature at 45°C or lower?
Insulation
Aluminum machine surface
k= 237 W/m-K
150°C
Transcribed Image Text:Consider a machine surface that is made of a 5-mm thick alu- minum with a thermal conductivity of 237 W/m-K. During operation the machine dissipates about 300 W/m² of heat to the surroundings, and the inner aluminum surface is at 150°C. To prevent machine operators from thermal burns, the machine surface can be covered with insulation. The aluminum/ insulation interface has a thermal contact conductance of 3000 W/m²-K. What is the thickness required for the insulation layer with a thermal conductivity of 0.06 W/m-K in order to maintain the surface temperature at 45°C or lower? Insulation Aluminum machine surface k= 237 W/m-K 150°C
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