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Unformatted text preview: 5.297 [neutrons.barn].
Compare your result to the actual critical mass of the Godiva
Experiment composed of 93.9 percent enriched Uranium235 where
M(critical)= 48.8 kgs.
c) Calculate these values for a Pu239 spherical reactor with:
microscopic transport cross section = 6.8 barns
microscopic radiative capture cross section = 0.26 barns
density = 19.74 [gm/cm3]
average number of neutrons released per fission ν = 2.98
microscopic fission cross section = 1.85 barns
Compare your result to the actual critical mass of the Jezebel
Experiment composed of pure Pu239 where M(critical)= 20.53 kgs. 35 Apr. 26 May 3 Consider a reactor with a core in the form of a cube of side length a.
1. Solve the diffusion equation in the Cartesian coordinate system to
determine the flux distribution in the x, y and z directions.
2. Determine the expression for the geometrical buckling for the
cubical reactor.
3. Determine the expression for the critical side length, ignoring the
extrapolation distance.
4. Determine the expression for the critical volume and the critical
mass for a cube reactor.
5. Calculate and compare the critical masses for a fast U235 reactor,
using the data from the previous problem, for the following
geometries:
a) Cubical core,
b) Cylindrical core with a height to diameter ratio of unity: (H/2R) =
1,
c) A spherical core. Assignments Policy
Assignments will be turned in at the beginning of the class period, one week from the day they are
assigned.
The first five minutes of the class period will be devoted for turning in, and returning graded
assignments.
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once the assignments are graded and returned to the class, late assignments cannot be accepted any
more.
If you are having difficulties with an assignment, you are encouraged to seek help from the
teaching assistants (TAs) during their office hours. Questions may be emailed to TA's, but facetoface interaction is more beneficial. Although you are encouraged to consult with each other if you are having difficulties, you are
kindly expected to submit work that shows your individual effort. Please do not submit a copy of
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 Winter '08
 Ragheb,M

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