Open Access. Powered by Scholars. Published by Universities.®

Engineering Physics Commons

Open Access. Powered by Scholars. Published by Universities.®

Theses and Dissertations

2021

Neutron diffusion equation

Articles 1 - 1 of 1

Full-Text Articles in Engineering Physics

Nonlinear Solution Of The Time Eigenvalue Of A Fast Burst Reactor Using The Finite Volume Method, Stephen H. Baxter Mar 2021

Nonlinear Solution Of The Time Eigenvalue Of A Fast Burst Reactor Using The Finite Volume Method, Stephen H. Baxter

Theses and Dissertations

This effort models fast burst reactors using the one dimensional, one group neutron diffusion equation to solve for the time eigenvalue, a method for which an analytical solution exists against which the numerical results can be verified. An existing solution method is enhanced by the addition of a second order accurate finite volume discretization, which is then used to model two separate fast burst reactors. The results of these models are then compared to the results of previous work, the analytical solution, and existing experimental burst width data for each of the two reactors.