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Shown below is a composite cylindrical structure with uniform diameter D, comprised of a Resistor and a Fin. Each section of the composite has length
Shown below is a composite cylindrical structure with uniform diameter D, comprised of a Resistor and a Fin. Each section of the composite has length L and thermal conductivity k, and their junction forms a perfect interface. The Resistor is embedded in an insulating structure such that all sides are thermally insulated. Electrical current I flows through the Resistor, which has electrical resistance Re, producing spatially uniform ohmic heating within it. The fin protrudes out into a fluid at temperature T, which is associated with heat transfer coefficient h ( h is the average value and applies to the entire length of the structure). The right-hand side of the fin has known, constant temperature T2. You may assume that D
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