Variation of the critical slab thickness with the degree of strongly anisotropic scattering in one-speed neutron transport theory

Yildiz C.

ANNALS OF NUCLEAR ENERGY, vol.25, no.8, pp.529-540, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 8
  • Publication Date: 1998
  • Doi Number: 10.1016/s0306-4549(97)00114-x
  • Title of Journal : ANNALS OF NUCLEAR ENERGY
  • Page Numbers: pp.529-540


The critical slab problem is studied in one-speed neutron transport theory using a linearly anisotropic kernel which combines forward and backward scattering. It is shown that, the recently observed non-monotonic variation of the thickness also exists in this strongly anisotropic case. In addition, the influence of the linear anisotropy on the critical thickness is analysed in detail. Numerical analysis for the critical thickness are performed using the spherical harmonics method and results are tabulated for selected illustrative cases as a function of different degrees of anisotropic scattering.