Critical problem for an infinite cylinder with forward scattering

Abstract

The transport of monoenergetic neutrons in a bare homogeneous cylinder is studied. The transport equation is solved using $F_N$ method considering the pseudo-problem. Numerical values for the critical radius are obtained and tabulated for various c values. Numerical results indicate that the critical radius varies non-monotonically with forward scattering. Some selected illustrative results are compared with those already available in the literature. It is also shown that the FN method, though approximate, yields results accurate to at least three or four significant figures for the problem considered.