Calculating burnup/consumption rates in thermal/fast reactor

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SUMMARY

This discussion focuses on calculating fuel burnup and consumption rates for thermal and fast reactors, specifically using 233U and 239Pu as fuel sources. The problem referenced is from Lamarsh's "Introduction to Nuclear Engineering," 3rd Edition, which requires determining these rates in g/MWd given a recoverable energy of 200 MeV per fission. The capture-to-fission ratio for fast reactors is specified as 0.065. Participants provided guidance on utilizing thermal neutron cross-section data and the molar mass of Pu-239 to solve the problem.

PREREQUISITES
  • Understanding of nuclear fission and energy release (200 MeV per fission)
  • Familiarity with fuel burnup calculations in nuclear reactors
  • Knowledge of thermal neutron cross sections for fissile isotopes
  • Basic concepts of thermal and fast reactor operations
NEXT STEPS
  • Research thermal neutron cross sections for fissile isotopes relevant to fast reactors
  • Learn how to calculate fuel burnup using molar mass and energy yield data
  • Explore the implications of capture-to-fission ratios in reactor design
  • Investigate additional resources or tables for fast reactor parameters
USEFUL FOR

Nuclear engineering students, reactor physicists, and professionals involved in nuclear reactor design and analysis will benefit from this discussion.

Matthew92
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Homework Statement



I am currently taking an introductory course in nuclear engineering. We are using Lamarsh's Introduction to Nuclear Engineering, 3rd Ed.

My question revolves around calculating fuel burnup and consumption rates for thermal reactors and fast reactors. In particular, problem 9 from chapter 4:

If a nuclear reactor is assumed to have a recoverable energy per fission of 200 MeV, calculate the fuel burnup and consumption rates in g/MWd for:
(a) thermal reactors fueled with 233U or 239Pu; and (b) fast reactors fueled with 239Pu.
[Note: In part (b), take the capture-to-fission ratio to be 0.065]

2. The attempt at a solution

For part a, I was able to find thermal data for fissile nuclides (Table 3.4) and was able to come up with this solution:
jUCyqnX.jpg


I however can not find any relevant data to perform part b. I am a bit confused as to how to approach this last portion. Any help and guidance would be truly appreciated.
 
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Matthew92 said:

Homework Statement



I am currently taking an introductory course in nuclear engineering. We are using Lamarsh's Introduction to Nuclear Engineering, 3rd Ed.

My question revolves around calculating fuel burnup and consumption rates for thermal reactors and fast reactors. In particular, problem 9 from chapter 4:

If a nuclear reactor is assumed to have a recoverable energy per fission of 200 MeV, calculate the fuel burnup and consumption rates in g/MWd for:
(a) thermal reactors fueled with 233U or 239Pu; and (b) fast reactors fueled with 239Pu.
[Note: In part (b), take the capture-to-fission ratio to be 0.065]

2. The attempt at a solution

For part a, I was able to find thermal data for fissile nuclides (Table 3.4) and was able to come up with this solution:
jUCyqnX.jpg


I however can not find any relevant data to perform part b. I am a bit confused as to how to approach this last portion. Any help and guidance would be truly appreciated.
Which relevant data specifically are you looking for? You know how much energy each fission yields (approx. 200 MeV / fission), the molar mass of Pu-239, and the ratio of captures to fissions of 0.065.

This article also has a table of thermal neutron cross sections for various fissile isotopes:

http://en.wikipedia.org/wiki/Breeder_reactor
 
SteamKing said:
Which relevant data specifically are you looking for? You know how much energy each fission yields (approx. 200 MeV / fission), the molar mass of Pu-239, and the ratio of captures to fissions of 0.065.

This article also has a table of thermal neutron cross sections for various fissile isotopes:

http://en.wikipedia.org/wiki/Breeder_reactor

Thank you for your response. After taking what you said into consideration, I came up with this work for part b:
PXIE6lh.jpg


I am however unsure as to what value would be input into the "absorption x-section" value. For part a, I was able to use a table in my textbook that had all of these values for thermal reactors, but a similar table does not exist for fast reactors.

I really do appreciate the continued help!
 

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