A bare cylindrical core has height and radius

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

Energy from Physics, Ch The critical reactor: neutron diffusion, buckling and the size of a core

Problem

A bare cylindrical core has height

H = 3.00\,\mathrm{m}

and radius

R = 1.50\,\mathrm{m}

, and its migration area is

M^2 = 65\,\mathrm{cm^2}

. The fundamental-mode geometric buckling of a bare cylinder is

B_g^2 = \left(\dfrac{\pi}{H}\right)^2 + \left(\dfrac{2.405}{R}\right)^2

. Compute the fraction of neutrons that leak from the core.