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Download Fast Pulsed and Burst Reactors. A Comprehensive Account of by E. P. Shabalin PDF

By E. P. Shabalin

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For the ratio of the stress to the stress on instantaneous heating a Q = ExT , we have σ(ϋ)/σ0 = u(t)u 0 - T(t)T Q . 1 shows the dependence of σ/σ and u/u n on the time, for different values of ω/ρ = T /T , where T = 2Θ, and T = 2π/ω is the period of the natural oscillap n p n tions of the rod. For T /T in the range from 0 to 1, the maximum displacements P n and stresses approach the values corresponding to instantaneous heating. So long as the pulse duration exceeds the period of the natural free oscillations of the rod (T /T P n < 2) , the rod will oscillate and will be subjected to stress.

6) and the pulse duration for a given energy yield (Fig. 8). An estimate of the shape and intensity of the burst in the presence of a moderator, not separated from the core by a slow-neutron absorbing screen, can be carried out numerically by using any suitable model of three-dimensional kinetics. Simple methods, specially designed for the calculation of a self-quenched reactor pulse 111—13 I give excellent results; some of these methods treat "room-return" and slow neutrons as additional groups of delayed neutrons.

For every fission neutron in the system there is a probability w f that it will become the parent of a divergent fission chain; this will be so in the case when at least one of the fission neutrons created by this neutron, continues the chain. 14), which defines the reactivity of the system (pv = k is the multiplication factor). In a slightly supercritical reactor, in which we are now interested, w f << 1, as at every following generation with a population of order unity, the probability of terminating the chain is considerable (for a population of 1 it is equal to ^ number of such generations is large.

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