A pipe is carrying cold water. At a small section of the pipe it was found that the average water temperature is 5°C and its convection coefficient is 20 W/m².K. The pipe is exposed to air outside at 30°C. The air's convection coefficient is 12 W/m².K. The pipe is made of a material whose thermal conductivity of 2 W/m.K. The inner radius of the pipe is 10 cm. The thickness of the pipe is 4 cm. Draw an appropriate schematic with appropriate labels and coordinate system. Write the governing equation and the boundary conditions for finding out the temperature distribution in the pipe material. Find out the outer surface temperature of the pipe.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A pipe is carrying cold water. At a small section of the pipe it was found that the average water
temperature is 5°C and its convection coefficient is 20 W/m².K. The pipe is exposed to air outside at
30°C. The air's convection coefficient is 12 W/m².K. The pipe is made of a material whose thermal
conductivity of 2 W/m.K. The inner radius of the pipe is 10 cm. The thickness of the pipe is 4 cm. Draw
an appropriate schematic with appropriate labels and coordinate system. Write the governing equation
and the boundary conditions for finding out the temperature distribution in the pipe material. Find out
the outer surface temperature of the pipe.
Transcribed Image Text:A pipe is carrying cold water. At a small section of the pipe it was found that the average water temperature is 5°C and its convection coefficient is 20 W/m².K. The pipe is exposed to air outside at 30°C. The air's convection coefficient is 12 W/m².K. The pipe is made of a material whose thermal conductivity of 2 W/m.K. The inner radius of the pipe is 10 cm. The thickness of the pipe is 4 cm. Draw an appropriate schematic with appropriate labels and coordinate system. Write the governing equation and the boundary conditions for finding out the temperature distribution in the pipe material. Find out the outer surface temperature of the pipe.
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