Consider a hollow aluminum sphere with inner radius ri = 2 cm, outer radius re = 6 cm and thermal conductivity k = 200 W/(m. °C). The inner surface is kept at a uniform temperature Ti=100 °C and the outer surface dissipates heat convectively with a heat transfer coefficient h ∞ = 80 W/(m2. °C) to ambient air at temperature T ∞ = 20 °C. Determine the outer surface temperature and the heat transfer rate of the sphere, the concept of thermal resistance. (Answer: Te=96.3°C)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider a hollow aluminum sphere with inner radius ri = 2 cm, outer radius re = 6 cm and thermal conductivity k = 200 W/(m. °C). The inner surface is kept at a uniform temperature Ti=100 °C and the outer surface dissipates heat convectively with a heat transfer coefficient h ∞ = 80 W/(m2. °C) to ambient air at temperature T ∞ = 20 °C. Determine the outer surface temperature and the heat transfer rate of the sphere, the concept of thermal resistance. (Answer: Te=96.3°C)

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