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Derivation of neutron flux equation

  1. Nov 4, 2016 #1
    1. The problem statement, all variables and given/known data
    reactor consists of nested spheres (sorry, this is my first time posting):

    Sphere 1 --> Lead target with radius of R0 (Target-region)
    Sphere 2 --> Actinide Fuel surrounding lead target; has outer radius of R1 (A-region)
    Sphere 3 --> Reflector surrounding the fuel with outer radius of R2 (E-region)
    Neutron flux vanishes at radius R2

    Derive the neutron flux equation in A-region

    2. Relevant equations
    the neutron flux at A-region is given as:

    Φ(r) = S/4πD [1/r - 1/R2]

    3. The attempt at a solution
    I've attempted this solution assuming the lead target as a point source so I get Φ(r) = B e-r/L
    where I determine the constant 'B' using neutron current going to zero at radius R2, but I always end up with a final answer containing exponentials.........I'm really stuck even though this was supposed to be a very simple derivation we were to get to work on in the class hour (prof made it a take home aspect)
     
  2. jcsd
  3. Nov 10, 2016 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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