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.

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.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.12P
icon
Related questions
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 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.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Convection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi…
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning