4. A copper spherical ball (15 cm in diameter) with a density of 8933 kg/m³, specific heat capacity of 385 J/kg-K and thermal conductivity of 401 W/m-K is removed from an oven at a uniform temperature of 140 °C. The ball is then left to cool down in steady air at 20 °C. Calculate the heat transfer coefficient for this process and the time for the surface of the ball to drop to 40 °C. Use the following equation to solve this problem (characteristic dimension of the sphere is the diameter). 0.589 · Ra Nu = 2+ 0.469 T6 Pr Note: you should check for the Lumped system analysis criteria for the final solution!

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4. A copper spherical ball (15 cm in diameter) with a density of 8933 kg/m³,
specific heat capacity of 385 J/kg-K and thermal conductivity of 401 W/m-K is
removed from an oven at a uniform temperature of 140 °C. The ball is then left
to cool down in steady air at 20 °C. Calculate the heat transfer coefficient for this
process and the time for the surface of the ball to drop to 40 °C. Use the following
equation to solve this problem (characteristic dimension of the sphere is the
diameter).
0.589 · Ra*
Nu = 2+-
0.469 16
1+
Pr
Note: you should check for the Lumped system analysis criteria for the final
solution!
Transcribed Image Text:4. A copper spherical ball (15 cm in diameter) with a density of 8933 kg/m³, specific heat capacity of 385 J/kg-K and thermal conductivity of 401 W/m-K is removed from an oven at a uniform temperature of 140 °C. The ball is then left to cool down in steady air at 20 °C. Calculate the heat transfer coefficient for this process and the time for the surface of the ball to drop to 40 °C. Use the following equation to solve this problem (characteristic dimension of the sphere is the diameter). 0.589 · Ra* Nu = 2+- 0.469 16 1+ Pr Note: you should check for the Lumped system analysis criteria for the final solution!
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