Home » Mechanical Engineering » Heat Transfer, Refrigeration and Air Conditioning

Conduction comparison across geometries: thick sphere versus thick cylinder Assess the statement: Heat transfer by conduction through a thick spherical wall is the same as through a thick cylindrical wall. Choose the correct truth value.

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.

← Previous Question Next Question→

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion