Analyzing Assumptions for Neutron Flux: Fast & Thermal Groups

[sandon]

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

 

[mfb]

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?

 

[sandon]

sorry
7) All fission neutron are born in fast group

 

[sandon]

8) All neutrons created by thermal group, thus vƩf2 exists vƩf1 does not