An isothermal sphere 3 cm in diameter at 80°C is embedded in a large clay region. The temperature of the clay far from the sphere is kept at 10°C. How much heat must be supplied to the sphere to maintain its temperature if kclay 1.28 W/m-K? Hint: You must solve the heat conduction equation not in the sphere but in the clay surrounding it. [Q = 16.9 W.] =

Elements Of Electromagnetics
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at conduction, thermal resistance, and the overall heat transfer coefficient
2.15 An isothermal sphere 3 cm in diameter at 80°C is embedded in a
large clay region. The temperature of the clay far from the sphere
is kept at 10°C. How much heat must be supplied to the sphere to
maintain its temperature if kclay = 1.28 W/m.K? Hint: You must
solve the heat conduction equation not in the sphere but in the
clay surrounding it. [Q = 16.9 W.]
2.16 Is it ever possible to increase the heat transfer from a convectively
cooled isothermal sphere by adding insulation? Explain fully.
2.17 A wall consists of layers of metals and plastic with heat transfer
coefficients on either side. U is 255 W/m²K and the overall tem-
perature difference is 200°C. One layer in the wall is 3 mm thick
Transcribed Image Text:at conduction, thermal resistance, and the overall heat transfer coefficient 2.15 An isothermal sphere 3 cm in diameter at 80°C is embedded in a large clay region. The temperature of the clay far from the sphere is kept at 10°C. How much heat must be supplied to the sphere to maintain its temperature if kclay = 1.28 W/m.K? Hint: You must solve the heat conduction equation not in the sphere but in the clay surrounding it. [Q = 16.9 W.] 2.16 Is it ever possible to increase the heat transfer from a convectively cooled isothermal sphere by adding insulation? Explain fully. 2.17 A wall consists of layers of metals and plastic with heat transfer coefficients on either side. U is 255 W/m²K and the overall tem- perature difference is 200°C. One layer in the wall is 3 mm thick
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