Heat Flow through a Pipe

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An insulated pipe carrying steam is covered by insulation of width ; the inner and outer surface temperatures are and . The temperature as a function of the radius of the cross section for the steady state is shown. Fourier's law of heat conduction states that the heat flow normal and through an area is proportional to the area (in this case, the circular layers in the picture) and to the temperature gradient.

Contributed by: Enrique Zeleny (December 2012)
Open content licensed under CC BY-NC-SA



Starting from the equation


where is the thermal conductivity, the solution is


where in the graphic.

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