ne.gif (2791 bytes)     NE421 Introduction to Nuclear Criticality Safety
Spring semester 2023

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Homework Problem #5

Based on the single parameter limits in ANS-8.1 Table 1 (Repeated as a slide in the ANS standards lesson), work the following problems:
  • Test the U235 mass limits of 760 by modeling a water-reflection U235/water sphere of various U-235 volume fractions (with water the remaining constituent of mixture 1) to find the most reactive mixture. Plot the results and identify (as best you can--the plot will be pretty flat!) the H/X ratio of the optimum mixture.
  • Test the diameter limit of 13.7 cm by modeling a U-235/water mixture of volume fractions 0.02/0.98 for very tall cylinders of diameter from 10 to 20 cm reflected by 20 cm of water. Plot the results and identify the critical diameter.
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