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Mathematics & Computation
Division members promote the advancement of mathematical and computational methods for solving problems arising in all disciplines encompassed by the Society. They place particular emphasis on numerical techniques for efficient computer applications to aid in the dissemination, integration, and proper use of computer codes, including preparation of computational benchmark and development of standards for computing practices, and to encourage the development on new computer codes and broaden their use.
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2025 ANS Annual Conference
June 15–18, 2025
Chicago, IL|Chicago Marriott Downtown
Standards Program
The Standards Committee is responsible for the development and maintenance of voluntary consensus standards that address the design, analysis, and operation of components, systems, and facilities related to the application of nuclear science and technology. Find out What’s New, check out the Standards Store, or Get Involved today!
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Latest News
NRC v. Texas: Supreme Court weighs challenge to NRC authority in spent fuel storage case
The State of Texas has not one but two ongoing federal court challenges to the Nuclear Regulatory Commission that could, if successful, turn decades of NRC regulations, precedent, and case law on its head.
T. T. Anderson
Nuclear Technology | Volume 9 | Number 3 | September 1970 | Pages 422-433
Technique | Symposium on Theoretical Models for Predicting In-Reactor Performance of Fuel and Cladding Material | doi.org/10.13182/NT70-A28797
Articles are hosted by Taylor and Francis Online.
The hydrodynamics of coolant flow in a natural circulation, nuclear-heated boiler are dependent upon interactions of the generated heat, the available driving head of vapor in the two-phase mixture, and flow of the coolant. Where at steady operating conditions a slight increase in heat generation will induce unstable flow, circulation hydrodynamics can be investigated by small-signal techniques of control system theory. The flow-pressure interaction can be described in terms of the hydraulic impedance which is the frequency-transformed ratio of two perturbed quantities, differential pressure over flow rate. The hydraulic impedance is analogous to acoustic impedance (acoustic pressure/particle velocity) of compressible media and to mechanical impedance (force applied to structure/resulting velocity) of rigid body mechanics. Measurements of the flow-vapor interaction and of the flow-pressure interaction (hydraulic impedance) are compared to a simplified theory, to demonstrate how the impedance approach aids understanding of complex two-phase phenomena. As a practical application, the flow stability of a boiling loop is predicted by measured hydraulic impedances.