The Role of Neutron Absorbers in SW Creation with Heavy Water in Nuclear Reactor Core
Keywords:
Burn, Soliton, Diffusive, Absorber, FluxAbstract
Abstract: This research introduces new parameters and methods for describing soliton wave (SW) propagation and its relationship with the inherent parameters of a nuclear reactor. The study demonstrates that the neutron reaction rate in a purely absorbing medium propagates as a soliton wave. Within the SW, the spatial profiles of the nuclear fission (NF) rate and the atomic density of the neutron absorber (NA) material remain unchanged during burnup wave propagation. The propagation rate of the burnup SW depends on the initial ratio of the nuclear fission rate to the NA density in the medium.
These nonlinear waves are described using neutron flux and atomic density equations that depend on parameters of both time and space in the medium. Burnup SWs in a diffusive medium are investigated in terms of spatial coordinates and the position of the NA within the diffusion region. The transient characteristics are expressed in terms of (i) time of transient (TOT), required to establish a self-sustaining nuclear burning wave, and (ii) the length of transient (LOT), over which this transition develops. The speed associated with the establishment of the transient region is also determined.
In the asymptotic state, the propagation speed of the wave is evaluated, and the width of the power-producing region is quantified using the Full Width at Half Maximum (FWHM). Numerical calculations indicate that the speed of the burnup SW remains constant with the increase of the diffusion coefficient; however, it increases both the diffusion length and the LOT. Furthermore, the ratio of the LOT to the diffusion length does not change. Similarly, increasing the diffusion coefficient increases the TOT, while the ratio of the TOT to the characteristic time remains unchanged.
Keywords: Burn, Soliton, Diffusive, Absorber, Flux.
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