Calculating Neutron Flux using SN Method

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Discussion Overview

The discussion revolves around calculating neutron flux in a finite medium using the SN method for the steady state neutron transport equation. Participants explore the implications of the calculated values, which appear to be normalized, and seek clarification on how to derive the actual neutron flux from these values.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants express uncertainty about the calculated neutron flux values, suggesting they may be normalized or represent a probability rather than the actual flux.
  • There is a proposal that the normalization could relate to quantities such as reaction rate or neutron production rate/density, which are connected to fission density.
  • One participant mentions that the actual neutron distribution depends on fission density and that a finite critical fission system can operate at various power levels.
  • Another participant questions whether multiplying the normalized values by power would yield the real flux, indicating a need for local or average power to obtain a meaningful flux measurement.
  • It is noted that temperature and its consistency with resonance broadening and moderator density are also factors that may influence the calculation of real flux.

Areas of Agreement / Disagreement

Participants generally agree that the calculated values may not represent the real flux and that normalization is a key factor. However, there is no consensus on the exact method to derive the real flux or the specific quantities involved in the normalization process.

Contextual Notes

The discussion highlights potential limitations in understanding the relationship between normalized values and actual physical quantities, as well as the dependence on various factors such as power levels and temperature effects.

NukeLion
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when we calculate the neutron flux in finite medium using sn method for steady state neutron transport equation, it gives us some numbers up to 1. I am sure its not the real flux, can someone explain how we can calculte the real flux using sn method.
 
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NukeLion said:
when we calculate the neutron flux in finite medium using sn method for steady state neutron transport equation, it gives us some numbers up to 1. I am sure its not the real flux, can someone explain how we can calculte the real flux using sn method.
If values are going from 0 to 1 for a value, then it is probably normalized or represents a probability. Then the question is to what quantity I the value normalized. Perhaps the reaction rate or neutron production rate/density, which relates to the fission density.

One can solve for a neutron distribution, but the actual value depends on fission density. A finite critical fission system can have any power level up to some limit, e.g., 1 W to 1 GW. Criticality means steady-state. The local fission density will depend on the relative fission cross-section in comparison to other absorption cross-sections.
 
Thanks Astronuc for your reply. So is it means that we need to multiply with power to get the real flux?
 
NukeLion said:
Thanks Astronuc for your reply. So is it means that we need to multiply with power to get the real flux?
Correct, there would have to be some local or average (integrated) power from which to obtain a real flux. In conjunction with power and temperature (assuming some heat transfer), the temperature would have to be consistent with the resonance (doppler) broadening and moderator density.
 

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