Fins are usually used in to increase the surface area of the heat exchanger so that it increases the heat transfer area, hence improves the heat exchanger performance. A triangular fin (that is, a fin with an equilateral triangle cross section) with side length of b, and length of L, extends from a solid wall into a fluid as shown below. If the side length b = 2 mm has a tolerance of 0.05 mm. Length of the fin, L = 1.5 cm and assumed to be constant. The surface area that is considered as heat transfer area are the body and the tip of the fin. wall -Body L Tip а. 'Determine the total heat transfer surface area b. Use differentials to estimate the error in heat transfer surface area considering b = 2 mm with tolerance of 0.05 mm How does the error determined in (b) compare with the actual surface area? Give your answer as % relative error. 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
icon
Related questions
Question
B9
Fins are usually used in to increase the surface area of the heat exchanger so that it increases the heat transfer area, hence
improves the heat exchanger performance.
A triangular fin (that is, a fin with an equilateral triangle cross section) with side length of b, and length of L, extends from a solid
wall into a fluid as shown below. If the side length b = 2 mm has a tolerance of 0.05 mm. Length of the fin, L = 1.5 cm and
assumed to be constant. The surface area that is considered as heat transfer area are the body and the tip of the fin.
wall
-Body
L
Tip
a.
'Determine the total heat transfer surface area
b.
Use differentials to estimate the error in heat transfer surface area considering b = 2 mm with tolerance of 0.05 mm
How does the error determined in (b) compare with the actual surface area? Give your answer as % relative error.
c.
Transcribed Image Text:Fins are usually used in to increase the surface area of the heat exchanger so that it increases the heat transfer area, hence improves the heat exchanger performance. A triangular fin (that is, a fin with an equilateral triangle cross section) with side length of b, and length of L, extends from a solid wall into a fluid as shown below. If the side length b = 2 mm has a tolerance of 0.05 mm. Length of the fin, L = 1.5 cm and assumed to be constant. The surface area that is considered as heat transfer area are the body and the tip of the fin. wall -Body L Tip a. 'Determine the total heat transfer surface area b. Use differentials to estimate the error in heat transfer surface area considering b = 2 mm with tolerance of 0.05 mm How does the error determined in (b) compare with the actual surface area? Give your answer as % relative error. c.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Slope and Deflection
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.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY