T T - (T-T Je m ambicnt hase ambicnt where hp VKA m= and h = the heat transfer coefficient (W/m² · K) p = perimeter 2 * (a + b)of the fin (m) A – cross-sectional area of the fin (a * b) (m²) k = thermal conductivity of the fin material (W/m - K) Plot the temperature distribution along the fin using the following data: k = 168 W/m - K, h=12 W/m² · K, a = 0.05 m, and b= 0.01 m. Vary x from 0 to 0.1 m in increments of 0.01 m.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Fins, or extended surfaces, commonly are used in a variety of engineering applications to enhance cooling. Common examples include a motorcycle engine head, a lawn mower engine head, extended surfaces used in electronic equipment, and finned tube heat exchangers in room heating and cooling applications. Consider aluminum fins of a rectangular profile, which are used to remove heat from a surface whose temperature is
100° C . The temperature of the ambient air is 20° C. We are interested in determining how the temperature of the fin varies along its length and plotting this temperature variation. For long fins, the temperature
distribution along the fin is given by

T T
- (T-T
Je m
ambicnt
hase
ambicnt
where
hp
VKA
m=
and
h = the heat transfer coefficient (W/m² · K)
p = perimeter 2 * (a + b)of the fin (m)
A – cross-sectional area of the fin (a * b) (m²)
k = thermal conductivity of the fin material
(W/m - K)
Plot the temperature distribution
along the fin using the following data:
k = 168 W/m - K, h=12 W/m² · K,
a = 0.05 m, and b= 0.01 m. Vary x from 0
to 0.1 m in increments of 0.01 m.
Transcribed Image Text:T T - (T-T Je m ambicnt hase ambicnt where hp VKA m= and h = the heat transfer coefficient (W/m² · K) p = perimeter 2 * (a + b)of the fin (m) A – cross-sectional area of the fin (a * b) (m²) k = thermal conductivity of the fin material (W/m - K) Plot the temperature distribution along the fin using the following data: k = 168 W/m - K, h=12 W/m² · K, a = 0.05 m, and b= 0.01 m. Vary x from 0 to 0.1 m in increments of 0.01 m.
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