An aluminum alloy sphere 10cm in diameter has a uniform temperature of 200°C after being removed from a hot oven. The aluminum sphere is then left in a cold room of 15°C and being blown by forced air. The convection heat transfer coefficient from the air flow is assumed to be h = 500 W/m²K Use the following properties to solve the problem: k = 163 W/mK, p = 2810 kg/m³, Cp = 880J/kg°C. a. Using Lump Model, determine the temperature of the sphere after 2 minutes. b. Determine the required convective heat transfer (h) to cool the sphere from 200°C to 80°C in 3 minutes.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An aluminum alloy sphere 10cm in diameter has a uniform temperature of 200°C after being removed
from a hot oven. The aluminum sphere is then left in a cold room of 15°C and being blown by forced air.
The convection heat transfer coefficient from the air flow is assumed to be h = 500 W/m²K
Use the following properties to solve the problem: k = 163 W/mK, p = 2810 kg/m³,
C₂ = 880J/kg°C.
a. Using Lump Model, determine the temperature of the sphere after 2 minutes.
b. Determine the required convective heat transfer (h) to cool the sphere from 200°C to 80°C in 3
minutes.
Transcribed Image Text:An aluminum alloy sphere 10cm in diameter has a uniform temperature of 200°C after being removed from a hot oven. The aluminum sphere is then left in a cold room of 15°C and being blown by forced air. The convection heat transfer coefficient from the air flow is assumed to be h = 500 W/m²K Use the following properties to solve the problem: k = 163 W/mK, p = 2810 kg/m³, C₂ = 880J/kg°C. a. Using Lump Model, determine the temperature of the sphere after 2 minutes. b. Determine the required convective heat transfer (h) to cool the sphere from 200°C to 80°C in 3 minutes.
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