Critical parameters and decay constants for one-speed neutrons in slabs and spheres with anisotropic scattering


Yildiz C.

KERNTECHNIK, vol.66, pp.279-284, 2001 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 66
  • Publication Date: 2001
  • Title of Journal : KERNTECHNIK
  • Page Numbers: pp.279-284

Abstract

Time-dependent, one-speed neutron transport equations with strong forward and backward scattering together with isotropic scattering are studied in homogeneous slabs and spheres. First, a simple formal equivalence between the transport equations for a critical and for a time-decaying system is established. Then, the transport equation is converted into a more conventional one. The F-N method of solving the resulting transport equation is applied to the calculation of the critical parameters and decay constants for the fundamental mode of the flux distribution and one-speed neutrons in spheres and infinite slabs. Numerical results are given for a number of significant figures and compared with those already available in the literature.