Heat Transfer · Fins and transient conduction
An annular aluminum fin of uniform thickness 1.5 mm, inner (base) radius 12 mm, and…
Problem
An annular aluminum fin of uniform thickness 1.5 mm, inner (base) radius 12 mm, and outer radius 28 mm is mounted on a tube whose outer surface is at 95 °C. The fin conductivity is 180 W/m·K; air at 20 °C with h = 50 W/m²·K cools both faces and the outer edge. Using the appropriate annular-fin relations, determine the heat transfer rate from one fin.
Hint
Replace the convecting tip by r_{2c} = r_2 + t/2 and form m = √(2h/(k t)).
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