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14. It can be seen that the deviation of the distribution from the Maxwellian decreases rapidly as the geometry increases. The average neutron energy has also been calculated by Jha. i 0 10 0 a 100 1000 2000 Neutron energy, units of kQ FIG. 14. Energy distribution in different sizes of beryllium assembly using Bhandari kernels. 5-cm cube; (C) in 48-cm cube; (D) in an infinite assembly {149). IV lists the values of this average energy E for the assemblies con­ sidered at a moderator temperature of 300°K.

69) /o Considering now the equation [ - * + Σ8(Ε) + Σα(Ε) + DB*] Φ(Ε) Φ Σ(Ε'^Ε)Φ(Ε')αΕ', (70) it is possible to determine the eigenvalue p if λ is a given constant. The minimum value of λ which gives p = 1 is the decay constant with which the lowest spatial eigenvalue B2 will decay at times such that the higher spatial modes will have died out. The corresponding Φ\(Ε) will be then the equilibrium energy distribution. Let us start with a trial value of λ, say, λ' = Σαυ + (DB*v)av, (71) where the average is taken over M(E)/v.

Then (VO/VB)2W can be calculated by using a value for γ, and D0B2 is determined from (VO/VB)2WDOB2. By adding v%a to D0B2 De Juren obtained new de­ cay constants corrected to the moderator temperature, \(vo) = νΣα + (λ - νΣα) |"l + ^ (λ - t£«)]".

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Autonomous Control of Nuclear Powerplants [short article]

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