Calculate the flux of neutron in an infinitely long and 30 cm thick Beryllium Oxide slab containing Cf-252.

Calculate the flux of neutron in an infinitely long and 30 cm thick Beryllium Oxide slab containing Cf-252. Cf-252 is unevenly distributed in the Beryllium Oxide matrix with a maximum neutron source of 1000 n.cm-2.s-1 in the center and dropping linearly;

Where x is the distance from the center of the material.

(a). Develop a finite difference form of the appropriate one-speed diffusion equation using vacuum boundary conditions. Use 100 mesh points and equal mesh spacing.

(b). Write the equation in matrix form. (i.e. Specify each item in the matrix form)

(c). Plot neutron flux as a function of distance from the center. 

(d) Repeat the problem when the slab is sandwiched between 20 cm of Graphite.