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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.
Meeting Spotlight
International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2025)
April 27–30, 2025
Denver, CO|The Westin Denver 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
Argonne’s METL gears up to test more sodium fast reactor components
Argonne National Laboratory has successfully swapped out an aging cold trap in the sodium test loop called METL (Mechanisms Engineering Test Loop), the Department of Energy announced April 23. The upgrade is the first of its kind in the United States in more than 30 years, according to the DOE, and will help test components and operations for the sodium-cooled fast reactors being developed now.
J. H. Shaffer, W. R. Grimes, and G. M. Watson
Nuclear Science and Engineering | Volume 12 | Number 3 | March 1962 | Pages 337-340
Technical Paper | doi.org/10.13182/NSE62-A28083
Articles are hosted by Taylor and Francis Online.
Control of a molten salt reactor by adjustment of the concentration of a nuclear poison which can be readily added to and removed from the circulating fuel is an attractive possibility. This chemical control can be used, if necessary, in addition to the negative temperature coefficient of reactivity which plays a major role in the control of liquid fueled reactors. Gaseous boron trifluoride (enriched in B10 if desired) may serve as a nuclear poison soluble in the fuel mixture of a molten salt reactor. The concentration of boron trifluoride in the liquid is proportional to and can be controlled by its partial pressure over a free surface in the circulating system. The solubility behavior of BF3 as a function of pressure and temperature defines the capacity of the fuel for BF3 and establishes the limits of possible usefulness of this compound as a removable reactor poison for reactor control. Experimental measurements of the solubility of BF3 in a molten fluoride mixture suitable for Molten Salt Reactor Experiment (MSRE) applications were determined. The MSRE is a 10 Mw (th) circulating fuel reactor moderated with unclad graphite in contact with a mixture of molten fluoride salts containing uranium tetrafluoride. Values of Henry's law constants were obtained (in moles of BF3 per liter of solution per atmosphere) of 0.265, 0.145, 0.0846, and 0.0351 at 500, 550, 600, and 700°C, respectively. These high solubilities indicate that BF3 should be suitable for control purposes of a molten salt reactor even at very moderate partial pressures. At reactor temperatures, and with a BF3 partial pressure of one atmosphere, an average atomic ratio of boron to U235 of 0.4 in the liquid has been estimated. Simplified calculations of the distribution of boron between the fuel and the graphite moderator have been made. Indications have been obtained, neglecting adsorption effects, that 85% of the boron would remain in the liquid even assuming complete equilibrium intrusion of the graphite pores by gaseous BF3. Various related problems have been listed which remain to be investigated before the use of BF3 can be recommended for the MSRE.