Fin Comparisons You are designing a part that is to have truncated triangular fins, a diagram of which is shown in Figure 1. The width of the base, t, is 6 mm, the width of the tip, t, is 2 mm. The fin length, L, is 25 mm, and the width, W, 125 mm. This fin will be used as part of a pattern with an overall thickness, trot of 12.566 mm. L W trot Figure 1: Truncated Triangular Fin There are no simple, common solutions for this geometry specifically, so you want to compare two different approximations: 1. The fin modeled as a rectangular fin using the average fin thickness 2. A triangular fin with a corrected length Le =L+tt/2 For each of these approximations, calculate a. The fin efficiency b. The fin effectiveness c. The surface effectiveness assuming the fins are made of steel with thermal conductivity, k = 60.5 W/m-°C, and are in a convective environment with a convective heat transfer coefficient h = 1000 W/m2-°C.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Fin Comparisons
You are designing a part that is to have truncated triangular fins, a diagram of which is shown in Figure 1.
The width of the base, t, is 6 mm, the width of the tip, t, is 2 mm. The fin length, L, is 25 mm, and the
width, W, 125 mm. This fin will be used as part of a pattern with an overall thickness, trot of 12.566 mm.
W
Figure 1: Truncated Triangular Fin
There are no simple, common solutions for this geometry specifically, so you want to compare two different
approximations:
1. The fin modeled as a rectangular fin using the average fin thickness
2. A triangular fin with a corrected length Le = L+te/2
For each of these approximations, calculate
a. The fin efficiency
b. The fin effectiveness
c. The surface effectiveness
assuming the fins are made of steel with thermal conductivity, k = 60.5 W/m-°C, and are in a convective
environment with a convective heat transfer coefficient h = 1000 W/m²-°C.
Transcribed Image Text:Fin Comparisons You are designing a part that is to have truncated triangular fins, a diagram of which is shown in Figure 1. The width of the base, t, is 6 mm, the width of the tip, t, is 2 mm. The fin length, L, is 25 mm, and the width, W, 125 mm. This fin will be used as part of a pattern with an overall thickness, trot of 12.566 mm. W Figure 1: Truncated Triangular Fin There are no simple, common solutions for this geometry specifically, so you want to compare two different approximations: 1. The fin modeled as a rectangular fin using the average fin thickness 2. A triangular fin with a corrected length Le = L+te/2 For each of these approximations, calculate a. The fin efficiency b. The fin effectiveness c. The surface effectiveness assuming the fins are made of steel with thermal conductivity, k = 60.5 W/m-°C, and are in a convective environment with a convective heat transfer coefficient h = 1000 W/m²-°C.
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