Home / Store / Journals / Electronic Articles / Nuclear Science and Engineering / Volume 17 / Number 1
George J. Mitsis
Nuclear Science and Engineering
Volume 17 / Number 1 / September 1963 / Pages 55-64
Format:electronic copy (download)
The new method of Case for treating the one-velocity transport equation is applied to a uniform, one-dimensional multiplying medium. The method leads to exact expressions for the neutron distribution and criticality conditions. These expressions depend on expansion coefficients which are shown to satisfy a Fredholm integral equation. The results of diffusion theory with the exact Milne problem extrapolation distance are shown to correspond to the zeroth-order approximation of the Neumann series solution to the Fredholm equation.
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