This document provides the syllabus and course policies. Please read it carefully.
The rest of this repository contains notes, examples, and other resources for NE 630 - Nuclear Reactor Theory, taught at Kansas State University. All materials were developed by Jeremy Roberts.
1:30pm--2:20pm MWF Ward 135
- Jeremy Roberts
- 137D Ward Hall
- Office Hours: T 3-5pm or by appointment; see my calendar and shoot me an email through Canvas.
From the catalog: Theory of neutron diffusion and thermalization with application to steady-state nuclear reactors. For a brief introduction to this course, head to Course Introduction under the Administriva module.
E. E. Lewis, Fundamentals of Nuclear Reactor Physics, Academic Press, 2008.
This book is available online through the library. You may use this link to access it (credentials required).
NE 495 and MATH 340. Though not required, having had ME 400 or some other programming experience should be useful in this course.
Lectures, I hope, will be informal yet provide useful interpretation of the readings and demonstration of the associated problem-solving techniques. In other words, verbal Cliff's notes and worked examples. However, I'm only one of the 20+ of us, so y'all need to participate to make the time most valuable. That means doing the reading (including this syllabus; the reading for our first lecture is Sections 1.1--1.3 of the textbook.)
Although I do not plan to record our live sessions this term, I've provided a link to a YouTube channel with videos recorded during the Fall 2023 semester. My plan is to follow the same lesson schedule and present the same material, but some details will surely differ.
Assessment for the course is based on the following breakdown:
- homeworks (each lesson; total 40%)
- exams (3, each worth 20%)
A small number of homework problems are assigned for each lesson. Unless otherwise stated, homework for lesson N is due by the start of lesson N + 2. No late homework will be accepted once solutions are posted. Because life happens, the lowest homework is dropped, i.e., you can miss one without penalty. Homework submissions must be submitted as a single PDF file. Your name, the course name, and the homework number should be in the upper right corner of the first page. Each problem should start on a new page, and the full problem statement should be included. Final answers should be circled, and there should be no crossed out or otherwise extraneous work. Use plain English to explain what you are doing as is applicable. I have no personal preference for the type of paper you use, but experience suggests engineering paper yields cleaner work. Note, you may feel free to typeset your solutions with Word, LaTeX, or other tools.
| # | Date | Topics | Reading |
|---|---|---|---|
| 1 | M 08/19 | Nuclear reactions. | FNRP 1.1-1.3 |
| 2 | W 08/21 | Nuclear fission and chain reactions. | FNRP 1.4-1.5 |
| 3 | F 08/23 | Radioactive decay. | FNRP 1.6-1.7 |
| 4 | M 08/26 | Neutron attenuation. | FNRP 2.1-2.2 |
| 5 | W 08/28 | Using cross-section data. | FNRP 2.3-2.4. BNL Sigma. |
| 6 | F 08/30 | Understanding cross-section data. | FNRP 2.3-2.4 (again) |
| HOLIDAY | |||
| 7 | W 09/04 | Scattering kinematics | FNRP 2.5 |
| 8 | F 09/06 | "Eta" as the simplest "k". Moderators. | FNRP 3.1-3.3 |
| 9 | M 09/09 | The fast spectrum. Slowing down and 1/E. | FNRP 3.4. |
| 10 | W 09/11 | Slowing down with rsonance absorption and NR. | FNRP 3.4. Supplement on NR/WR. |
| 11 | F 09/13 | Thermal spectrum. | FNRP 3.4. |
| 12 | M 09/16 | Effective cross sections and k. | FNRP 3.5-3.6. |
| 13 | W 09/18 | Multigroup method and the two-group equations. | Supplement on MG method. |
| 14 | F 09/20 | The k-eigenvalue problem in 2 and more groups. | Supplement on MG method. |
| 15 | M 09/23 | A survey of power reactor cores. | FNRP 4.1-4.2. |
| 16 | W 09/25 | Fast reactor unit cell analysis. | FNRP 4.3. |
| F 09/27 | EXAM 1 | Covers lessons 1--14 | |
| 17 | M 09/30 | Thermal reactor unit cell analysis. Four factors. | FNRP 4.4. |
| 18 | W 10/02 | Modeling unit-cells in OpenMC I. | Supplement on OpenMC on Beocat. |
| 19 | F 10/04 | Unit-cell design considerations: SFR enrichment and PWR P/D. FNRP 4.4 (especially last subsection). | |
| 20 | M 10/07 | Reactivity. | FNRP 9.1-9.4. |
| 21 | W 10/09 | Reactivity feedback. | FNRP 9.1-9.4. |
| F 10/11 | WILDCAT PAUSE DAY | ||
| 22 | M 10/14 | Long-term effects I. Xenon-135 and Samarium-149. | FNRP 10.1-10.3 |
| 23 | W 10/16 | Long-term effects II. Depletion, conversion and breeding. | FNRP 10.4. |
| 24 | F 10/18 | Long-term effects III. Linear-reactivity model. | FNRP 10.5. Supplement. |
| 25 | M 10/21 | Kinetics I. Point kinetics without multiplication. Lifetime. | FNRP 5.1-5.2(through Eq. 5.8) |
| 26 | W 10/23 | Kinetics II. PK with multiplication (with and without source) | FNRP 5.2(rest)-5.3 |
| 27 | F 10/25 | Kinetics III. PKE with precursors. In-hour. | FNRP 5.4 |
| 28 | M 10/28 | Kinetics IV. Step changes in reactivities. | FNRP 5.5 |
| 29 | W 10/30 | Kinetics V. Step changes with reactivity feedback. | FNRP 5.6. Supplements (if needed) |
| F 11/01 | EXAM 2 | Covers lessons 15--28 | |
| 30 | M 11/04 | REVIEW | |
| 31 | W 11/06 | Conservation of neutrons and the diffusion equation. | FNRP 6.1--2. |
| 32 | F 11/08 | One-speed, single-region, source-driven diffusion in slabs. | FNRP 6.3 |
| 33 | M 11/11 | One-speed, multi-region, source-driven diffusion in slabs. | FNRP 6.4 |
| 34 | W 11/13 | One-speed diffusion with multiplication. | FNRP 6.5 and 6.7 |
| 35 | F 11/15 | Criticality in slabs and cylinders. | FNRP 7.1--7.3 |
| 36 | M 11/18 | Two-group criticality models. | DH 7.III.B-C, FNRP 7.4 |
| 37 | W 11/20 | Reflected reactors | FNRP 7.5 |
| 38 | F 11/22 | Perturbation theory and control. | FNRP 7.6 |
| X | M 11/25 | HOLIDAY | |
| X | W 11/27 | HOLIDAY | |
| X | F 11/29 | HOLIDAY | |
| 39 | M 12/02 | Testing when diffusion is "good enough" | N/A |
| 40 | W 12/04 | A tast of neutron transport theory | |
| 41 | F 12/06 | REVIEW | |
| W 12/11 | FINAL EXAM - 2 hours, Open-Book/Note 12:35 - 1:30 pm |
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