2 energy groups

  • Thread starter sandon
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  • #1
sandon
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Assumptions
1) a=absorption
2) f=fission
3) ∅=neutron flux
4) time independent
5) group 1, fast neutrons
6) group 2, thermal neutrons
7) All fission neutron are boring in fast group
8) All neutrons created by thermal group, thus vƩf2 exists vƩf2 does not
9) Down scattering occurs but up scattering does not, Ʃ1→2 exists, Ʃ2→1 is zero

From the prof produced 2 equations
(1) -(Ʃa1+Ʃ1→2)*∅1 + v*Ʃf2*∅2=0
(2) -Ʃa2*∅2 + Ʃ1→2*∅1=0

(1) Equation says the total neutron density of all fast neutrons(including ones scattered) is equal to the neutrons generated by thermal fission. This is correct by assumptions 7) and 8).

(2) I do not understand equation 2, why is the neutron density of the amount of slow neutrons absorbed equal to the neutron density of scattered neutrons?

Thank in advance
 

Answers and Replies

  • #2
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In equilibrium (!), the number of thermal neutrons is constant. Absorption removes as many thermal neutrons as scattering produces new thermal neutrons.

7) All fission neutron are boring in fast group
I don't think "boring" is what you mean.
8) All neutrons created by thermal group, thus vƩf2 exists vƩf2 does not
Is that a typo?
 
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  • #3
sandon
18
1
sorry
7) All fission neutron are born in fast group
 
  • #4
sandon
18
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8) All neutrons created by thermal group, thus vƩf2 exists vƩf1 does not
 

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