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A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...

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Mechanical Engineering

A long cylindrical rod of 100 mm radius consists of a nuclearmaterial (k = 0.5 W/m-K) generating 24 kW/m3 uniformly throughoutits volume. The rod is enclosed within a tube having an outerradius of 200 mm and a thermal conductivity of 4 W/m-K. The outersurface is exposed to a convection environment at 100 C with aconvective heat transfer coefficient of 20 W/m2-k.

a) Calculate the heat rate per unit length being convected awayfrom the rod.

b) Calculate the interface temperature and the outer surfacetemperature.

c) Show a plot of temperature vs. radius from r = 0 to r = 300mm.

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