A high-temperature gas- cooled nuclear reactor consists r = 8 mm of a composite cylindrical wall...

  

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A high-temperature gas- cooled nuclear reactor consists r = 8 mm of a composite cylindrical wall for which a thorium fuel r, = 11 mm Coolant channel with helium flow (7T, h) = 57 W/m-K) is Graphite element (k encased in graphite (k W/m-K) and gaseous helium flows through an Thorium, à - T1 T2 = 3 ra = 14 mm annular coolant channel. Consider T3 conditions for which the helium temperature is To = 600K and the convection coefficient at the outer surface of the graphite is h = 2000 W/m²K. If the thermal energy is uniformly generated in the fuel element at a rate à = 10* W/m', what are the temperatures Ti and T2 at the inner and outer surfaces, respectively, of the fuel element? A high-temperature gas- cooled nuclear reactor consists r = 8 mm of a composite cylindrical wall for which a thorium fuel r, = 11 mm Coolant channel with helium flow (7T, h) = 57 W/m-K) is Graphite element (k encased in graphite (k W/m-K) and gaseous helium flows through an Thorium, à - T1 T2 = 3 ra = 14 mm annular coolant channel. Consider T3 conditions for which the helium temperature is To = 600K and the convection coefficient at the outer surface of the graphite is h = 2000 W/m²K. If the thermal energy is uniformly generated in the fuel element at a rate à = 10* W/m', what are the temperatures Ti and T2 at the inner and outer surfaces, respectively, of the fuel element?