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.
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.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter2: Steady Heat Conduction
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Problem 2.38P:
2.38 The addition of aluminum fins has been suggested to increase the rate of heat dissipation from...
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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%2F00c5f8e2-0869-434e-83ef-a3383167e4cf%2Fe39c3826-833c-4cb6-9966-f16703c01f33%2Ft7x0con_processed.jpeg&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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