Difficulty: Easy
Correct Answer: False (different area variation and formula)
Explanation:
Concept/Approach
In steady radial conduction, the governing area for heat flow varies with radius: Acyl = 2πrL (cylinder) versus Asph = 4πr² (sphere). This leads to different analytical forms for thermal resistance and heat rate.
Consequences
For a cylinder: Q = 2πkL (T1 − T2) / ln(r2/r1). For a sphere: Q = 4πk (T1 − T2) / (1/r1 − 1/r2).
Final Answer
False — the conduction relations are different for thick spheres and thick cylinders.
Discussion & Comments