22. Simplifying Neutron Transport to Neutron Diffusion

MIT 22.01 Introduction to Nuclear Engineering and Ionizing Radiation, Fall 2016
Instructor: Michael Short
View the complete course: https://ocw.mit.edu/22-01F16
YouTube Playlist:    • MIT 22.01 Introduction to Nuclear Eng...  

As many simplifications as possible are made to the neutron transport equation to make it solvable. The board is turned into a rainbow mess of term-specific cancellations and simplifications to reduce the neutron transport equation into something that is almost analytically solvable by any undergraduate of math, physics, or engineering. Finally, the divergence theorem is used to transform an ugly surface integral into a simpler volume integral by introducing a diffusion relation. This makes the whole thing a linear, second-order differential equation.

License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu