Critical conditions in an infinitely reflected, multiplying slab using two-group, integral transport theory

A two-group formulation of the integral transport equation has been carried out for the infinitely reflected critical slab. The coupled integral equations that arise are re-formulated using a special transformation so that the problem is reduced to an integration over the slab only. The effect of the infinite reflector is incorporated into a modified kernel of the integral equation. The new integral equations are solved numerically and some comparisons are made with published experimental and theoretical critical sizes. Some conjectures are made about the agreement obtained. The calculations are illustrated by graphs showing the fast and thermal fluxes. Finally, we calculate some values of Galaninʹs constant for the slab and study its convergence as the accuracy of the numerical method is improved.