Calculation of Temperature Distributions in Fuel Rods with Varying Conductivity and Asymmetric Flux Distribution

The temperature distribution in a cylindrical fuel rod has been calculated on the assumption that the flux distribution is expressible in the form of a series of Bessel functions, whether or not it actually obeys the simple diffusion equation. Variable thermal conductivity has been taken into account and a generalization of the classical solution has been obtained. A simplified design formula for a solid rod has been derived.