rate of (15000) W/m³. The conductivity of the sphere is 10 W/m.K. Surface of the sphere is cooled by cooling water whose temperature and convection heat transfer coefficient are 10°C and 125 W/m².K. Determine the temperatures at the center and surface of the sphere. Find the total heat transfer rate from the surface of the sphere. T=10 °C h=125 W/m2.K r=50 cm egen=(15000)W/m³ Tx=10 °C h=125 W/m2.K

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Chapter2: Steady Heat Conduction
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3. (30 pnts) Consider a solid sphere of radius r=50 cm. The heat is generated steadily inside the sphere at a
rate of (15000) W/m³. The conductivity of the sphere is 10 W/m.K. Surface of the sphere is cooled by
cooling water whose temperature and convection heat transfer coefficient are 10°C and 125 W/m².K.
Determine the temperatures at the center and surface of the sphere. Find the total heat transfer rate from the
surface of the sphere.
T«=10 °C
h=125 W/m².K
r=50 cm
Egen=(15000)W/m³
To=10 °C
h=125 W/m².K
Transcribed Image Text:3. (30 pnts) Consider a solid sphere of radius r=50 cm. The heat is generated steadily inside the sphere at a rate of (15000) W/m³. The conductivity of the sphere is 10 W/m.K. Surface of the sphere is cooled by cooling water whose temperature and convection heat transfer coefficient are 10°C and 125 W/m².K. Determine the temperatures at the center and surface of the sphere. Find the total heat transfer rate from the surface of the sphere. T«=10 °C h=125 W/m².K r=50 cm Egen=(15000)W/m³ To=10 °C h=125 W/m².K
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