Abstract
Heat generation and temperature distributions in the wall of cylindrial pressure vessels of nuclear reactors are determined theoretically. The heat generation rate resulting from the absorption of primary gamma rays, neutron capture or secondary gamma rays, fast neutrons and thermal neutrons is in terms of radiation energy flux, energy absorption coefficient, buildup factor and exponential law of radiation attenuation. The heat generation rate is enhanced by the buildup factor of energy absorption. The temperature distribution in the pressure vessels is obtained by introducing the finite Hankel transform into the heat conduction equation. The results calculated for the heat generation rates and temperature distributions in the wall of the reactor pressure vessels are shown.
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