Question

A straight fin fabricated from 2024 aluminum alloy ( 185 W/m·K) has a base thickness of 3 mm and a length of 15 mm. Its base temperature is 100°C, and it is exposed to a fluid for which [infinity] 20°C and 50 W/m2·K. For the foregoing conditions and a fin of unit width, compare the fin heat rate, efficiency, and volume for rectangular, triangular, and parabolic profiles.

Answer 1

Rectangular 129.6 W/m,

4.5 x
`10^(-5)`
`m^(2)`

Triangular, 117.3 W/m,

2.25 x
`10^(-5)`
`m^(2)`

Parabolic

115.6 W/ m,

1.5 x
`10^(-5)`
`m^(2)`

So the volume for rectangular, triangular, and parabolic profiles are calculated