Reactor_Theory_11C - Reactor Theory and Experimentation...

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Reactor Theory and Experimentation Exam Fall 2011 Page 1 of 3 Problem 1: (15 minutes) Jezebel is a bare, fast, spherically-shaped critical reactor constructed of pure 239 Pu metal (with a density of 15.4 g/cc). Calculate the critical radius and critical mass of the reactor using the following one-group data: ν= 2.98, σ f =1.85 b, σ γ =0.26 b, and σ tr =6.8 b. Problem 2: (10 minutes) A fuel sample 6.00 inches in overall length and 0.50 inches in outside diameter is to be tested in a materials testing reactor. The test assembly will be placed in a location where the thermal neutron flux will be 1.00E14 neutrons/cm 2 -s. The neutron spectrum approximates that of a Maxwellian spectrum of about 200 o C. The fuel sample has a zirconium alloy clad 0.02 inches thick, is sealed on both ends with zirconium clad with a thickness of 0.02 inches, and enriched uranium dioxide fills the sample. The fission cross section for U-235 for the fuel sample is 546.5 barns. The absorption cross section for U-235 for the fuel sample is 650.8 barns. Assume that 200 MeV/fission goes into heating the sample. The linear heat generation rate (LHGR) for the fuel sample is determined to be 7 kW per linear foot over a period of one month of testing. A destructive examination of the fuel is to be performed post-irradiation to determined fuel performance characteristics.
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