A transformer is to be cooled via forced air convection. To increase the effectiveness of the cooling, Alloy 1095 cast aluminum fins are attached to the top of the transformer over which air is blown (negligible thermal contact resistance between the transformer and the fins). The fins are 2 cm thick and 7 cm long and span the entire length of the transformer, and the transformer is 7 cm wide and 10 cm long. Air leaves the cooling fan at 25°C . a) Decide how to model the fins before performing any real analysis. You are willing to accept some error in your analysis and so you will either model the fins as having adiabatic tips or being infinitely long. You expect the average convection coefficient over the heat transfer surfaces for this system to be around 50 W m2– K⁄ . Which tip condition should you use for the fins in your analysis? b) Modeling the transformer as being isothermal, determine the average convection coefficient over the heat transfer surfaces. Account for heat transfer from the finned and unfinned surfaces on the top of the transformer, assuming the boundary layers don’t somehow interfere with each other. Consider any other heat transfers to be negligible (e.g., from the sides and bottom of the transformer). c) What is the required air velocity to provide the necessary rate of cooling to the transformer?
A transformer is to be cooled via forced air convection. To increase the effectiveness of the cooling, Alloy 1095 cast aluminum fins are attached to the top of the transformer over which air is blown (negligible thermal contact resistance between the transformer and the fins). The fins are 2 cm thick and 7 cm long and span the entire length of the transformer, and the transformer is 7 cm wide and 10 cm long. Air leaves the cooling fan at 25°C . a) Decide how to model the fins before performing any real analysis. You are willing to accept some error in your analysis and so you will either model the fins as having adiabatic tips or being infinitely long. You expect the average convection coefficient over the heat transfer surfaces for this system to be around 50 W m2– K⁄ . Which tip condition should you use for the fins in your analysis? b) Modeling the transformer as being isothermal, determine the average convection coefficient over the heat transfer surfaces. Account for heat transfer from the finned and unfinned surfaces on the top of the transformer, assuming the boundary layers don’t somehow interfere with each other. Consider any other heat transfers to be negligible (e.g., from the sides and bottom of the transformer). c) What is the required air velocity to provide the necessary rate of cooling to the transformer?
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
Related questions
Question
A transformer is to be cooled via forced air convection. To increase the effectiveness of the
cooling, Alloy 1095 cast aluminum fins are attached to the top of the transformer over
which air is blown (negligible thermal contact resistance between the transformer and the
fins). The fins are 2 cm thick and 7 cm long and span the entire length of the transformer,
and the transformer is 7 cm wide and 10 cm long. Air leaves the cooling fan at 25°C
cooling, Alloy 1095 cast aluminum fins are attached to the top of the transformer over
which air is blown (negligible thermal contact resistance between the transformer and the
fins). The fins are 2 cm thick and 7 cm long and span the entire length of the transformer,
and the transformer is 7 cm wide and 10 cm long. Air leaves the cooling fan at 25°C
.
a) Decide how to model the fins before performing any real analysis. You
are willing to accept some error in your analysis and so you will either model the
fins as having adiabatic tips or being infinitely long. You expect the average convection
coefficient over the heat transfer surfaces for this system to be around 50 W m2– K⁄ .
Which tip condition should you use for the fins in your analysis?
a) Decide how to model the fins before performing any real analysis. You
are willing to accept some error in your analysis and so you will either model the
fins as having adiabatic tips or being infinitely long. You expect the average convection
coefficient over the heat transfer surfaces for this system to be around 50 W m2– K⁄ .
Which tip condition should you use for the fins in your analysis?
b) Modeling the transformer as being isothermal, determine the average convection
coefficient over the heat transfer surfaces. Account for heat transfer from the finned
and unfinned surfaces on the top of the transformer, assuming the boundary layers
don’t somehow interfere with each other. Consider any other heat transfers to be
negligible (e.g., from the sides and bottom of the transformer).
c) What is the required air velocity to provide the necessary rate of cooling to the
transformer?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 9 images
Knowledge Booster
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.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY