Question: 7.6. Consider a critical reactor that is a cube with extrapolated side length a. a. With the origin at the center, apply separation of variables

7.6. Consider a critical reactor that is a cube with extrapolated side length a. a. With the origin at the center, apply separation of variables in three-dimensional Cartesian geometry to show that the flux distribution is (x,y,z) = C cos(fx/a) cos(ny/a) cos(iz/a). = b. Find C in terms of the reactor power, volume, and yEf. c. Determine the reactor's buckling. d. Suppose that a=2.0 m and M=20 cm. Determine the value of k required to obtain criticality (i.e., k=1.0)
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