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.
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
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd206678-95eb-4b69-a3e0-3bc446a31e2b%2F4a370cb3-25a3-4eae-8458-fc0d061d8637%2Fuqzp72_processed.png&w=3840&q=75)
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.
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