Fins, or extended surfaces, commonly are used in a variety of engineering applications to enhance cooling. Common examples include a motorcycle engine head, a lawnmower engine head, heat sinks used in electronic equipment, and finned-tube heat exchangers in room heating and cooling applications. For long fins, the temperature distribution along the fin is given by the exponential relationship: T T = (T -T Je-ma ambient base ambient where T = temerature(K) hp m VkA h= the transfer coeficient (W/m2 · K) p= perimeter of the fin (m) A= cross-section area of the fin (m²) k= thermal onductivity of the fin material x= distance from the base of the fin (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? Show all steps of your work.

Fins, or extended surfaces, commonly are used in a variety of engineering applications to enhance cooling. Common examples include a motorcycle engine head, a lawnmower engine head, heat sinks used in electronic equipment, and finned-tube heat exchangers in room heating and cooling applications. For long fins, the temperature distribution along the fin is given by the exponential relationship: T T = (T -T Je-ma ambient base ambient where T = temerature(K) hp m VkA h= the transfer coeficient (W/m2 · K) p= perimeter of the fin (m) A= cross-section area of the fin (m²) k= thermal onductivity of the fin material x= distance from the base of the fin (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? Show all steps of your work.

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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Concept explainers

Radiation

Radiation can be described as the energy in the form of a particular matter or electromagnetic waves traveling in the air and can be in the form of light, sound, and heat. Radiation can be detected through special instruments like X-rays. The radiation from a cooler object is less intense as compared to the radiation from hot objects.

Question

Fins, or extended surfaces, commonly are
used in a variety of engineering applications
to enhance cooling. Common examples
include a motorcycle engine head, a
lawnmower engine head, heat sinks used in
electronic equipment, and finned-tube heat
exchangers in room heating and cooling
applications. For long fins, the temperature
distribution along the fin is given by the
exponential relationship:
T T
= (T -T
Je-ma
ambient
base
ambient
where
T = temerature(K)
hp
m
VkA
h= the transfer coeficient (W/m2 · K)
p= perimeter of the fin (m)
A= cross-section area of the fin (m²)
k= thermal onductivity of the fin material
x= distance from the base of the fin (m)
What is the appropriate unit for k if the
preceding equation is to be homogeneous in
units? Show all steps of your work.

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