Applied Scientific Research, Section A

, Volume 11, Issue 4–6, pp 387–396 | Cite as

On the time-dependent flux distribution of a fixed-full thermal nuclear reactor

  • Paul L. Chambré
  • Lawrence M. Grossman


An analytical method is presented for determining the flux distribution and reactivity in a bare homogeneous thermal nuclear reactor during fuel burn-up. It is shown that these two functions can, in principle, be calculated from a recursive set of differential equations. The analysis is illustrated for the case of a flat plate reactor.


Flux Distribution Fission Cross Section Flux Time Nuclide Concentration Thermal Diffusion Equation 
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    Benedict, M. and T. H. Pigford, Nuclear Chemical Engineering, McGraw-Hill, New York, Chapter 3, 1957.Google Scholar
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    Wolfe, B., Nucleonics16 (1958) 116. See also Murray, R. al, Nuclear Sci. Eng.6 (1959) 18.Google Scholar
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    Goto, alf Proc. of 2nd United Nations Int. Conf. on Peaceful Uses of Atomic Energy, Vol. 13, Paper No. 1339, Geneva 1958, p. 325.Google Scholar
  4. 4).
    Gladstone, S. and M. C. Edlund, The Elements of Nuclear Reactor Theory, Van Nostrand, New York, 1952.Google Scholar

Copyright information

© Martinus Nijhoff, The Hague/Kluwer Academic Publishers 1963

Authors and Affiliations

  • Paul L. Chambré
    • 1
  • Lawrence M. Grossman
    • 1
  1. 1.University of CaliforniaBerkeleyU.S.A.

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