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EX2: Cylindrical Shell

2c. Heater Inside a Tube

In studying radial heat flow above, we have derived the rate of heat flow assuming that and , the inner and outer temperature respectively, are known.

In some applications, however, we may not know or be able to measure directly the inner face temperature, . But if it is known that inside the cylindrical tube, there is a heater producing heat at a specified rate and conducted radially to the outer surface, and if the outside temperature, , is specified, then can be determined.

It is important to recognize that heat is not being generated within the wall of the tube but generated in the region to produce a known heat flow at .

 
 
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