DearsIs there any similar equation (in Lamarsh or hamilton books)

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SUMMARY

The discussion centers on the search for equations similar to those found in R. Serber's work and the texts by Lamarsh and Hamilton, specifically regarding neutron behavior in nuclear reactor cores and reflectors. Key concepts include the criticality of neutron flux, the role of reflectors in neutron scattering, and the empirical nature of Serber's equations. The participants reference the book "Introduction to Nuclear Engineering" by Lamarsh, indicating its relevance to the topic of neutron reflection and core dynamics.

PREREQUISITES
  • Understanding of neutron flux and criticality in nuclear reactors
  • Familiarity with core and reflector geometries in nuclear engineering
  • Knowledge of empirical coefficients in nuclear equations
  • Basic concepts of neutron scattering and absorption
NEXT STEPS
  • Research "Introduction to Nuclear Engineering" by Lamarsh for detailed equations related to neutron behavior
  • Study the LA-173 report for insights on core/reflector interactions
  • Explore neutron scattering theories and their applications in reactor design
  • Investigate empirical coefficients used in nuclear engineering equations
USEFUL FOR

Nuclear engineers, students studying reactor physics, and researchers focused on neutron behavior in nuclear systems will benefit from this discussion.

Saif al-dean
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Dears
Is there any similar equation (in Lamarsh or hamilton books) like the one in the attached picture(equation1)?
From where R. Serber derived this one?

Best regards
 

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Lamarsh, D & H, and other texts will have some discussion of reflected cores in plate, box, cylindrical, or spherical geometries.

The criticality is determined by what neutron flux/current leaks out of core and what is reflected, and what is absorbed in the core. In general, the neutron (fission) sources are exclusive to the core, and the reflector does not contain fission sources, but only those neutron leaking from the core. The reflector simply reflects some portion of the neutrons which leave the core. Neutrons in the reflector either scatter back into the core, out of the reflector through the outer surface, or are absorbed (usually without producing more neutrons). Some reflectors may provide (n, 2n) reactions, but there is an energy dependence.

Serber's primer deals primarily with certain types of core/reflectors (tampers). I found a copy of the LA-173, and it discusses some of the details. Basically Serber's equations contain some empirical coefficients which are system specific/dependent.
 


Saif al-dean said:
Dears
Is there any similar equation (in Lamarsh or hamilton books) like the one in the attached picture(equation1)?
From where R. Serber derived this one?

Best regards

You mean the book INTRODUCTION TO NUCLEAR ENGINEERING wrote by Lamarsh ?
And which page of the question ?
 

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