Analytical solution of point kinetics equations for linear reactivity variation during the start-up of a nuclear reactor

An analytical solution for the point rea

An analytical solution for the point reactor kinetics equations with one group of delayed neutrons and the adiabatic feedback model

✍ Abdallah A. Nahla 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 282 KB

The point reactor kinetics equations with one group of delayed neutrons and the adiabatic feedback model are solved analytically. The analytical solution is based on an expansion of the neutrons density in powers of the small parameter, the prompt neutrons generation time, into the second order diff