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Oxlade
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Homework Statement
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
Homework Equations
the neutron flux at A-region is given as:
Φ(r) = S/4πD [1/r - 1/R2]
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)