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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
3.66Â Â In Example 3.6, an expression was derived for the criti- cal insulation radius of an insulated, cylindrical tube.
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Derive the expression that would be appropriate for an insulated sphere.
3.67   A hollow aluminum sphere, with an electrical heater in the center, is used in tests to determine the thermal con- ductivity of insulating materials. The inner and outer radii of the sphere are 0.15 and 0.18 m, respectively, and testing is done under steady-state conditions with the inner surface of the aluminum maintained at 250°C. In a particular test, a spherical shell of insulation is cast on the outer surface of the sphere to a thickness of
0.12 m. The system is in a room for which the air tem- perature is 20°C and the convection coefficient at the outer surface of the insulation is 30 W/m2 · K. If 80 W are dissipated by the heater under steady-state condi- tions, what is the thermal conductivity of the insulation?
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