Accession Number:

AD0270639

Title:

ESTIMATES OF CRITICAL DIMENSIONS OF SPHERICAL AND SLAB REACTORS

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1962-01-01

Pagination or Media Count:

1.0

Abstract:

UNDER THE ASSUMPTIONS OF CONSTANT ENERGY OF NEUTRONS AND ISOTROPY OF THE COLLISION-FISSION PROCESS, THE DETERMINATION OF THE CRITICAL MASS OF SPHERICAL AND SLAB REACTORS IS EQUIVALENT TO THE DETERMINATION OF TWO OF THE EIGENVALUES OF A LINEAR INTEGRAL OPERATOR T. In the theory of radiative transfer in homogeneous plane parallel atmospheres with isotropic scattering, this same operator is an important one known as the truncated Hopf operator. The theory also applies to stratified slab and spherical reactors in which the physical properties can change from stratum to stratum. This observation is developed and then applied to reactors with a homogeneous core surrounded by a homogeneous reflector. Numerical results are given for the bare homogeneous reactors. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE