Comparative Studies of Parameters Based on the Most Probable Versus an Approximate Linear Extrapolation Distance Estimates for Circular Cylindrical Absorbing Rod

摘要

Estimates and techniques that are valid to calculate the linear extrapolation distance for an infinitely long circular cylindrical absorbing region are reviewed. Two estimates, in particular, are put into consideration, that is the most probable and the value resulting from an approximate technique based on matching the integral transport equation inside the absorber with the diffusion approximation in the surrounding infinite scattering medium. Consequently, the effective diffusion parameters and the blackness of the cylinder are derived and subjected to comparative studies. A computer code is set up to calculate and compare the different parameters, which is useful in reactor analysis and serves to establish beneficial estimates that are amenable to direct application to reactor design codes. (ERA citation 12:013502)