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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