P-N solutions of the time-dependent neutron transport equation with anisotropic scattering in a homogeneous sphere

Yildiz C.

JOURNAL OF PHYSICS D-APPLIED PHYSICS, cilt.33, sa.6, ss.704-710, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Konu: 6
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1088/0022-3727/33/6/319
  • Sayfa Sayıları: ss.704-710


In an earlier paper, the spherical harmonics method for the solution of the time-dependent transport equation with the Marshak boundary conditions was presented in order to investigate the effect of a strongly anisotropic scattering law on the slab thickness. Here, the previous work is extended to the study of the time-dependent problems in a homogeneous sphere with the same scattering function as used in the previous work. The time-dependent neutron transport equation is solved in the manner used for a critical sphere and all radii for a given time-dependent system are determined by finding the critical radii for the corresponding critical system.