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.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter10: Heat Exchangers
Section: Chapter Questions
Problem 10.46P
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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.
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