5.10 A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 2 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 Tỵ = 100°C and h = 3000 W/m² · K. Estimate the time 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 (pcV) is small compared to that of the steel sphere.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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5.10 A steel sphere (AISI 1010), 100 mm in diameter, is
coated with a dielectric material layer of thickness
2 mm and thermal conductivity 0.04 W/mK. 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 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 (pcV)
is small compared to that of the steel sphere.
Transcribed Image Text:5.10 A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 2 mm and thermal conductivity 0.04 W/mK. 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 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 (pcV) is small compared to that of the steel sphere.
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