5.12 Fins, ör extende tees, 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 shown in Problem 14.13, 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 where hp |kA 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) %3D T-T = (Tse -Tmbient 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 base ambient ambient Je-m to 0.1 m in increments of 0.01 m.
5.12 Fins, ör extende tees, 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 shown in Problem 14.13, 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 where hp |kA 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) %3D T-T = (Tse -Tmbient 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 base ambient ambient Je-m to 0.1 m in increments of 0.01 m.
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
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Transcribed Image Text:15.12 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 shown in
Problem 14.13, 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
where
hp
m =
kA
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)
Т -Т.
= (T -T
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
base
ambient Je-mx
ambient
to 0.1 m in increments of 0.01 m.
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