An analytical transport theory method for calculating flux distribution inslab cells

A transport theory method for calculating flux distributions in slab fuel c ell is described. Two coupled integral equations for flux in fuel and moder ator are obtained; assuming partial reflection at moderator external bounda ries. Galerkin technique is used to solve these equations. Numerical result s for average fluxes in fuel and moderator and the disadvantage factor are given. Comparison with exact numerical methods, that is for total reflectio n moderator outer boundaries, show that the Galerkin technique gives accura te results for the disadvantage factor and average fluxes.