ANS is committed to advancing, fostering, and promoting the development and application of nuclear sciences and technologies to benefit society.
Explore the many uses for nuclear science and its impact on energy, the environment, healthcare, food, and more.
Explore membership for yourself or for your organization.
Conference Spotlight
2026 ANS Annual Conference
May 31–June 3, 2026
Denver, CO|Sheraton Denver
Latest Magazine Issues
Mar 2026
Jan 2026
Latest Journal Issues
Nuclear Science and Engineering
April 2026
Nuclear Technology
February 2026
Fusion Science and Technology
Latest News
60 Years of U: Perspectives on resources, demand, and the evolving role of nuclear energy
Recent years have seen growing global interest in nuclear energy and rising confidence in the sector. For the first time since the early 2000s, there is renewed optimism about the industry’s future. This change is driven by several major factors: geopolitical developments that highlight the need for secure energy supplies, a stronger focus on resilient energy systems, national commitments to decarbonization, and rising demand for clean and reliable electricity.
Yousef M. Farawila, Douglas W. Pruitt
Nuclear Science and Engineering | Volume 154 | Number 3 | November 2006 | Pages 316-327
Technical Paper | doi.org/10.13182/NSE06-A2636
Articles are hosted by Taylor and Francis Online.
A study of the nonlinear behavior of growing density-wave oscillations is presented in the framework of a reduced-order model. Nonlinear effects are included in both the hydraulic and neutron kinetics equations, where both were found to contribute to the observed limit cycles. In Part I of this paper, the basic concepts were developed and applied to the global oscillation mode where only the fundamental neutron flux mode excitation is considered. Approximate analytical solutions for the limit cycle amplitude and the time evolution of the transient were derived. In this paper, Part II, the model order is increased to allow the representation of the azimuthal neutron flux harmonic and the simulation of growing regional mode oscillations. Analysis demonstrates that the regional mode, unlike the global mode, may not always reach a stable limit cycle, and if it does, the regional limit cycle amplitudes are large compared with the global mode. An extended reduced-order model has been developed for use as an accurate quantitative tool for simulating actual reactor situations, whereas the current paradigm restricts the applicability of reduced-order models to gaining qualitative insights.