Approximation of solitary burn-up waves by generalized Gompertz functions

摘要

A generalized Gompertz function is a good approximation for the fluence function of a burn-up wave in a multiplying me- dium. To the knowledge of the author no better approxima- tion, being integrable, could be found. Aside from fluence and neutron flux also other fluece de- Pendent functions, such as, for instant, the atomic particle Densities, N_fer(F) and N_fis(F), and the infinite multiplication Constant, k_∞(F), can be represented in good approximation Ainan analytical form. This is particularly instrumental for Educational purposes.