The influence of linear anisotropic scattering of one-speed neutrons on the critical size of a slab with reflective boundary conditions

The criticality problem for one-speed neutrons in a slab is investigated using Chebyshev polynomials of first kind in the series expansion of the neutron angular flux in stationary neutron transport equation. The medium is assumed to let the neutrons to scatter anisotropically and to be surrounded by a reflector. The critical thicknesses for the neutrons in a uniform finite slab are computed for selected values of the reflection coefficient and the anisotropy parameter and they are given in the tables. The numerical results obtained from the present method are in good accordance with the results already existed in literature.