论文标题
晚期核能系统中的孤立波
The solitary wave in advanced nuclear energy system
论文作者
论文摘要
孤立波自然出现在数学物理学的许多领域，包括非线性光学，等离子体物理学，量子场理论和流体力学。在过去的几年中，对于先进的核能系统，已经提出了一种称为中子通量的恒定轴向形状，核素数量密度和能量生产寿命（蜡烛）反应器的功率形状的恒定轴向形状（蜡烛）反应堆的恒定轴向形状，并且已经提出了一种分析解决方案，因为它可以揭示解决方案的全局特征，因此需要进行分析。在这项研究中，从孤立波的角度来看，该晚期核能系统的分析解决方案通过将一组中子扩散方程与燃烧方程耦合来证明。 tanh功能方法用于求解该非线性部分微分方程。通过分析方法揭示了孤立波，波幅度或中子通量的速度与核素的演变之间的关系。结果表明，中子通量与波速度成正比。结果还表明，中子通量的幅度与扩散系数的平方根成正比，但与最初的238U密度成反比。
The solitary wave naturally arises in many areas of mathematical physics, including in nonlinear optics, plasma physics, quantum field theory, and fluid mechanics. In the past few years, for an advanced nuclear energy system, a particular class of traveling wave reactor called the Constant Axial shape of Neutron flux, nuclide number densities and power shape During Life of Energy production (CANDLE) reactor has been proposed, and an analytical solution has been desired since it could reveal the global characters of the solution. In this study, from the perspective of the solitary wave, the analytical solution of this advanced nuclear energy system is demonstrated through coupling the one-group neutron diffusion equation with the burnup equation. The tanh-function method is applied to solve that nonlinear partial differential equation. The relationship between the velocity of the solitary wave, wave amplitude, or neutron flux and the evolution of the nuclide is revealed by the analytical method. The results demonstrate that the neutron flux is proportional to the wave velocity. The results also imply that the amplitude of the neutron flux is proportional to the square root of the diffusion coefficient but is inversely proportional to the initial 238U density.
