A bare spherical core built from enriched uranium in light water has infinite-medium…

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Nuclear Physics · Fission, fusion and nuclear energy

The Nucleus Resolved, Ch The reactor as a field equation: diffusion, criticality, feedback and burn-up

Problem

A bare spherical core built from enriched uranium in light water has infinite-medium multiplication factor

k_\infty = 1.09

and migration area

M_{\rm mig}^2 = 60\,\mathrm{cm^2}

. The extrapolation distance is neglected. Find the critical radius of this bare sphere.