A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 1.75 mm and thermal conductivity 0.04 W/m-K. The coated sphere is initially at a uniform temperature of 500°C and is suddenly quenched in a larg for which T = 100°C and h = 3000 W/m².K. Estimate the time, in h, required for the coated sphere temperature to reach Hint: Neglect the effect of energy storage in the dielectric material, since its thermal capacitance (pcV)is small compared to steel sphere.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 1.75 mm and thermal
conductivity 0.04 W/m.K. The coated sphere is initially at a uniform temperature of 500°C and is suddenly quenched in a large oil bath
for which T = 100°C and h = 3000 W/m².K. Estimate the time, in h, required for the coated sphere temperature to reach 150°C.
Hint: Neglect the effect of energy storage in the dielectric material, since its thermal capacitance (pc)is small compared to that of the
steel sphere.
t =
h
Transcribed Image Text:A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 1.75 mm and thermal conductivity 0.04 W/m.K. The coated sphere is initially at a uniform temperature of 500°C and is suddenly quenched in a large oil bath for which T = 100°C and h = 3000 W/m².K. Estimate the time, in h, required for the coated sphere temperature to reach 150°C. Hint: Neglect the effect of energy storage in the dielectric material, since its thermal capacitance (pc)is small compared to that of the steel sphere. t = h
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