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Maximum neutron flux in thermal research reactors

Abstract

This paper deals with the determination of the space distribution of fuel concentration in thermal reactors for the purpose of obtaining maximum neutron flux. With some approximations, this problem is reduced to a nonclassical variational problem, which is solved by using Pontryagin's maximum principle. It is shown that the optimal fuel configuration of the reactor core consists of a reflector in its center, a zone of constant (permissible) power density, a zone of constant (maximum) fuel concentration, and a peripheral reflector of infinite thickness.

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References

  1. 1.

    Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., andMishchenko, E. F.,The Mathematical Theory of Optimal Processes, John Wiley and Sons (Interscience Publishers), New York, 1965.

  2. 2.

    Meghreblian, R. V., andHolmes, D. K.,Reactor Analysis, McGraw-Hill Book Company, New York, 1960.

  3. 3.

    Kochurov, B. P.,Minimum Critical Mass for Limited Uranium Concentration, Soviet Journal of Atomic Energy, Vol. 20, No. 3, 1966.

  4. 4.

    Feinberg, S. M.,Progress in Research Reactors, Paper presented at the Conference on Physics and Engineering of Research Reactors, Budapest, Hungary, 1965.

  5. 5.

    Boltyanskii, V. G.,The Mathematical Methods of Optimal Control (in Russian), Nauka Press, Moscow, 1966.

  6. 6.

    Kochurov, B. P., andRudik, A. P.,Problem of Maximum Power of Reactor, Soviet Journal of Atomic Energy, Vol. 22, No. 1, 1967.

  7. 7.

    Zaritskaya, T. S., andRudik, A. P.,Use of Pontryagin Maximum Principle in Problems of Minimum Critical Sizes and Maximum Reactor Power, Soviet Journal of Atomic Energy, Vol. 22, No. 1, 1967.

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Communicated by R. Conti

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Strugar, P.V. Maximum neutron flux in thermal research reactors. J Optim Theory Appl 5, 301–312 (1970). https://doi.org/10.1007/BF00927916

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Keywords

  • Power Density
  • Maximum Principle
  • Variational Problem
  • Neutron Flux
  • Space Distribution