Maximum neutron flux in thermal research reactors
- 106 Downloads
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.
KeywordsPower Density Maximum Principle Variational Problem Neutron Flux Space Distribution
Unable to display preview. Download preview PDF.
- 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.Google Scholar
- 2.Meghreblian, R. V., andHolmes, D. K.,Reactor Analysis, McGraw-Hill Book Company, New York, 1960.Google Scholar
- 3.Kochurov, B. P.,Minimum Critical Mass for Limited Uranium Concentration, Soviet Journal of Atomic Energy, Vol. 20, No. 3, 1966.Google Scholar
- 4.Feinberg, S. M.,Progress in Research Reactors, Paper presented at the Conference on Physics and Engineering of Research Reactors, Budapest, Hungary, 1965.Google Scholar
- 5.Boltyanskii, V. G.,The Mathematical Methods of Optimal Control (in Russian), Nauka Press, Moscow, 1966.Google Scholar
- 6.Kochurov, B. P., andRudik, A. P.,Problem of Maximum Power of Reactor, Soviet Journal of Atomic Energy, Vol. 22, No. 1, 1967.Google Scholar
- 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.Google Scholar