Calculating Fission Cross-Sections for Nuclear Reactor Fuel Designs

AI Thread Summary
The discussion focuses on calculating fission cross-sections for two different nuclear reactor fuel designs, comparing a standard Westinghouse 17x17 assembly with a new design featuring slight variations in fuel rod pitch and diameter. Key considerations include the reactor's operational conditions, the importance of self-shielding, and the competition for neutrons among materials. Participants emphasize the need to understand the lattice structure, fuel-to-moderator ratio, and whether to assume a homogeneous or heterogeneous composition. The conversation also highlights the relevance of class notes and textbooks for methods to determine macroscopic and microscopic cross-sections. Overall, the complexity of the problem necessitates careful consideration of various factors and assumptions.
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A utility is considering changing its fuel vendor and resulting fuel assembly design. The
current fuel in the reactor is standard Westinghouse 17x17 fuel with a fuel rod pitch of
1.215cm fuel rod OD of 0.916cm. The clad thickness is 0.055cm. The new fuel design has a
fuel rod pitch of 1.232cm and a fuel rod OD of 0.882cm with a clad thickness of 0.055cm. (Assume that there is no fuel-cladding gap).
Considering that the fuel for both designs is 4.5% enriched, and that the reactor pressure
and temperature conditions are 15.5MPa, and 304C

How to determine the fission cross-sections for each lattice design?
 
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This seems like a homework problem.

The pitch of a standard 17x17 design is 1.26 cm (12.6 mm) or 0.496 inch - at room temperature, or about 1.263 cm at hot conditions.

How does one determine the cross-section of any lattice? What does the lattice cell look like?

Is the assembly envelope the same?

Is one accounting for guide (thimble) tubes?
 
Given all this information how does one solve the problem and is it necessary to more assumptions if the info provided is not enough?

Yes this part of assignment
 
Presumably one's class notes and/or textbook would explain the methods used to determine cross-sections, which I take to mean either macroscopic cross-sections, or the weighted (equivalent, or adjsusted) microscopic cross-sections.

Self-shielding is an important factor, as is competition for neutrons among the different materials, as is the energy spectum of the neutrons.

Think about fuel-to-moderator ratio.

Consider infinite lattice, and whether or not one assumes homogenous or heterogeneous composition of the fuel-moderator. I expect one can assume Zircaloy-4 cladding (Zr-1.5Sn-0.24Fe-0.12Cr-0.125O, where the coefficients are in weight %).
 
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