Problem: A straight rectangular fin of uniform cross section is connected to a base with constant temperature of 100°C (T¿). The fin is made of copper (k = 400 W/mK) with thickness (t) of 1 mm, width (w) of 3 cm, and length (L) of 5 cm. The system is exposed to the ambient air with temperatu of 30 °C and heat transfer coefficient of 30 [W/m?K]. If the temperature at the tip is known as 40° (T (x = L)), determine the following: 1. Temperature at the middle of the fin (i.e., at x = 2.5cm). 2. The fin efficiency T,h Tp L

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.68P
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Problem: A straight rectangular fin of uniform cross section is connected to a base with constant
temperature of 100°C (T¿). The fin is made of copper (k = 400 W/mK) with thickness (t) of 1 mm,
width (w) of 3 cm, and length (L) of 5 cm. The system is exposed to the ambient air with temperatu
of 30 °C and heat transfer coefficient of 30 [W/m?K]. If the temperature at the tip is known as 40 °
(T (x = L)), determine the following:
1. Temperature at the middle of the fin (i.e., at x = 2.5cm).
2. The fin efficiency
To,h
Ть
L
Transcribed Image Text:Problem: A straight rectangular fin of uniform cross section is connected to a base with constant temperature of 100°C (T¿). The fin is made of copper (k = 400 W/mK) with thickness (t) of 1 mm, width (w) of 3 cm, and length (L) of 5 cm. The system is exposed to the ambient air with temperatu of 30 °C and heat transfer coefficient of 30 [W/m?K]. If the temperature at the tip is known as 40 ° (T (x = L)), determine the following: 1. Temperature at the middle of the fin (i.e., at x = 2.5cm). 2. The fin efficiency To,h Ть L
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