Consider a pipe with an inner radius of 15 cm, an outer radius of 20 cm, and k = 15 W / m ∙ oC. The heat transfer coefficient of the fluid in the pipe is 40 W / m2 ∙ oC, and the fluid is 500oC on average. flows with heat. The convection coefficient between the outer surface of the pipe and the surrounding air is 12 W / m2 ∙ oC and the air temperature is 20 oC. Assume that the heat conduction in the pipe is unidimensional and continuous. by, a) The main differential equation and boundary conditions for heat conduction through the pipe material. Determine.
Consider a pipe with an inner radius of 15 cm, an outer radius of 20 cm, and k = 15 W / m ∙ oC.
The heat transfer coefficient of the fluid in the pipe is 40 W / m2 ∙ oC, and the fluid is 500oC on average.
flows with heat. The convection coefficient between the outer surface of the pipe and the surrounding air is 12 W / m2 ∙ oC
and the air temperature is 20 oC. Assume that the heat conduction in the pipe is unidimensional and continuous.
by,
a) The main differential equation and boundary conditions for heat conduction through the pipe material.
Determine.
b) By solving this differential equation, the special equation that gives the temperature change in the pipe material.
obtain.
c) Find the pipe outer surface temperature.
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