of 60 W/m-K. The pipe is used for transporting nanocoolant at an average temperature of 70 °C and submerged in cool water at temperature of 5 °C. The average convection heat transfer coefficient on the inner and outer of the pipe surfaces are estimated to be 250 W/m²-K and 150 W/m²-K, respectively. a) Derive the temperature distribution equation for the pipe wall. b) Evaluate the inner surface temperature of the pipe. c) Derive the mathematical expression for the rate of heat loss from the nanocoolant in the pipe.

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
icon
Related questions
Question
Consider a pipe with inner diameter of 0.5 m, wall thickness of 8 mm and thermal conductivity
of 60 W/m-K. The pipe is used for transporting nanocoolant at an average temperature of 70 °C
and submerged in cool water at temperature of 5 °C. The average convection heat transfer
coefficient on the inner and outer of the pipe surfaces are estimated to be 250 W/m²-K and
150 W/m²-K, respectively.
a) Derive the temperature distribution equation for the pipe wall.
b) Evaluate the inner surface temperature of the pipe.
c) Derive the mathematical expression for the rate of heat loss from the nanocoolant in the pipe.
d) Evaluate the heat flux through the outer surface of the pipe.
Transcribed Image Text:Consider a pipe with inner diameter of 0.5 m, wall thickness of 8 mm and thermal conductivity of 60 W/m-K. The pipe is used for transporting nanocoolant at an average temperature of 70 °C and submerged in cool water at temperature of 5 °C. The average convection heat transfer coefficient on the inner and outer of the pipe surfaces are estimated to be 250 W/m²-K and 150 W/m²-K, respectively. a) Derive the temperature distribution equation for the pipe wall. b) Evaluate the inner surface temperature of the pipe. c) Derive the mathematical expression for the rate of heat loss from the nanocoolant in the pipe. d) Evaluate the heat flux through the outer surface of the pipe.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY