Diffusion length calculations for one-speed neutrons in a slab with backward, forward and linear anisotropic scattering

Abstract

The diffusion lengths for one-speed neutrons spreading in a uniform homogeneous slab with backward, forward and linear anisotropic scattering are calculated by using first order approximation of the Chebyshev polynomials of first kind, i.e. T-1 method. The method is applied to neutron transport equation by expanding first the neutron angular flux in terms of the Chebyshev polynomials of first kind, and then diffusion lengths for one-speed neutrons are determined for various values of the collision and anisotropy parameters. Numerical results obtained from the present method are tabulated in tables together with the ones already presented in literature.