Answered: You are insulating a metal pipe…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Current And Resistance

Section: Chapter Questions

Problem 27.73AP

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Question

You are insulating a metal pipe carrying a hot fluid. The outside Diameter of the pipe is 3.5 cm, and the pipe has a length of 7.7 meters. Due to the fluid inside the pipe, the outside surface of the metal fluid pipe is kept at a constant temperature of 85.0°C. The metal pipe is inserted inside of a thin-wall circular tube, which has an inside diameter of 11.2 cm (ignore the resistance of the thin-wall circular tube). The space between the outside of the hot metal pipe and the inside of the thin-wall circular tube is filled with foam insulation, k = 0.036 W/m-K. The outside of the thin-walled circular tube is kept at a constant temperature of 28.0°C. Due to a manufacturing error, the metal pipe was not centered inside the thin-wall tube when the foam insulation was added, but was instead installed with an eccentricity of 2.0 cm (i.e. the center of the metal pipe is 2.0 cm distance from the center of the thin-walled circular tube). Calculate the increase in the heat transfer rate due to this manufacturing error.

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