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EngNewbit

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Write down the diffusion equation for the neutron flux in a multiplying sphere of radius R containing a constant distributed source of strength Q neutrons/cm3/s. Assuming that the flux vanishes at the sphere surface and that it remains finite at the origin:

Solve the diffusion equation when k inf = 1 and show that the neutron flux is given by:

(Q/6D)(R^2 − r^2)