A proposed method to reduce heat losses from a horizontal, isothermal cylinder placed within a large room

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A proposed method to reduce heat losses from a horizontal, isothermal cylinder placed within a large room is to encase it within a larger cylinder, as shown in the schematic, with all surfaces painted with a low emissivity coating.

Air at atmospheric pressure exists within the annular region. For a concentrically located inner cylinder of surface temperature T= 70°C and radius r= 20 mm, and for an ambient temperature of T∞ = 30°C, determine the optimal radius of the outer cylinder ro that will minimize the convection heat loss. Compare the convection heat loss from the inner cylinder with the optimally sized outer cylinder in place to the heat loss without the outer cylinder. Is the approach effective?

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Fundamentals Of Heat And Mass Transfer

ISBN: 9780470501979

7th Edition

Authors: Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera, David P. DeWitt

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