Modern nuclear engineers spend much of their time running codes. However, codes are only as good as the models inside them. By struggling through the analytical solutions, engineers learn the assumptions that simulation codes make.
The solution is ( \phi(r) = A \frac{\sin(Br)}{r} ). Applying the symmetry condition automatically satisfies the zero derivative at the center because ( \lim_{r\to 0} \frac{\sin(Br)}{r} \to B ). Nuclear Reactor Analysis Duderstadt Hamilton Solution
James J. Duderstadt and Louis J. Hamilton’s Nuclear Reactor Analysis Modern nuclear engineers spend much of their time
: It includes illustrations of concepts applied to practical problems in the design of power reactor cores. Wydział Fizyki UW Nuclear reactor analysis - INIS-IAEA Nuclear Reactor Analysis Duderstadt Hamilton Solution