239Pu-
235U fueled fast critical assemblies are of interest to estimate properties of
239Pu fueled assemblies because of safety considerations and or limited plutonium availability. Numerical analysis for bare and reflected homogeneous cores and reflected Two-region cores are previously reported. It is concluded that the errors in the calculated critical size for a 5.0 v/o
239Pu fueled system reduce more than a factor of about 10 to 20, if an accurate experimental value of critical size of a critical assembly fueled by 0.5 v/o
239Pu and 4.5 v/o
235U is known.
In this report, a general mathematical formula, which is useful to explain the above conclusions more clearly, is obtained for bare homogeneous mixtures using multigroup diffusion approximation.
In order to predict the critical radius for the bare homogeneous
239PU system in an accuracy, 1%, the errors·for the experimental value of critical radius must be less than 0.1% for
VPu/
VFuel=0.05 and 0.2% for
VPu/
VFuel=0.1, where
VPu and
VFuel are the volume fractions of
239Pu and fuel (
239Pu+
235U) respectively. For the reflected Tworegion cores, the experimental errors required for the above accuracy must be less than 0.5% for the ratio of central
239Pu core region volume to total core volume of 0.1.
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