Equation for neutrons in a nuclear reactor

Thread starter slam
Start date Apr 18, 2024
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Boltzmann equation Diffusion Neutrons Nuclear reactor

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The discussion focuses on deriving the equation for neutron diffusion in a nuclear reactor, specifically from a problem in Thorne and Blandford's "Modern Classical Physics." The individual is uncertain about the correct form of the equation and how to simplify it for their specific conditions. They seek clarification on whether additional terms are needed or if normalization factors should be included. The request emphasizes the need for a precise explanation to create the desired equation. Understanding neutron diffusion is crucial for accurate modeling in nuclear reactor physics.

Apr 18, 2024

slam

Homework Statement: Neutron diffusion in nuclear reactor - deriving the equation of the slowing of the neutrons in momentum space and of their struggle to pass through the 238U resonance region without getting absorbed.

Relevant Equations: Boltzmann eq., Neutron transport eq., Neutron diffusion eq.

I am trying to solve a problem from Thorne and Blandford: Modern classical physics, chapter 3, problem 21: Neutron diffusion in nuclear reactor.

I am struggling with how the equation, from which this should be calculated, should look like. I watched some videos where they did the derivation a such equation, however I don't know how to simplify it to fit my conditions. I think it should look roughly like this:

I'm not sure if there are supposed to be more terms or by what factors they should be multiplied, so is it somehow correct and I just need to add correct normalization, or am I completely wrong?
If someone could explain to me how to precisely create the equation from which I could get the desired relations, I would really appreciate it. Thanks!

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