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Innovation for advanced fuels at SRNL
As the only Department of Energy Office of Environmental Management–sponsored national lab, Savannah River National Laboratory has a history deeply rooted in environmental stewardship efforts such as nuclear material processing and disposition technologies. SRNL’s demonstrated expertise is now being leveraged to solve nuclear fuel supply -chain obstacles by providing a source of high-assay low-enriched uranium fuel for advanced reactors.
A. Patra, S. Saha Ray
Nuclear Technology | Volume 189 | Number 1 | January 2015 | Pages 103-109
Technical Note | Reactor Safety | doi.org/10.13182/NT13-148
Articles are hosted by Taylor and Francis Online.
This technical note introduces a numerical procedure that is efficient for calculating the solution for the fractional order nonlinear neutron point-kinetics equation in nuclear reactor dynamics. The explicit finite difference method (EFDM) is applied to solve the fractional order nonlinear neutron point-kinetics equation with Newtonian temperature feedback reactivity. This nonlinear neutron point-kinetics model has been analyzed in the presence of temperature feedback reactivity. The numerical solution obtained by EFDM is an approximate solution that is based on neutron density, precursor concentrations of multigroup delayed neutrons, and the reactivity function. The method is investigated using experimental data, with given initial conditions along with Newtonian temperature feedback reactivity. From the computational results, it can be shown that this numerical approximation method is straightforward and effective for solving fractional order nonlinear neutron point-kinetics equations. Numerical results citing the behavior of neutron density for different types of fractional order are presented graphically.