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.
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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa85a1b76-f694-4177-a1c4-606f0e4af391%2F75933f7e-6356-43b6-bd35-d42179cd8303%2Frqpd2g_processed.jpeg&w=3840&q=75)
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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY