ON THE VALIDITY OF THE SECOND FUNDAMENTAL THEOREM IN A MEDIUM WITH ANISOTROPIC SCATTERING
Journal Article
·
· Nuclear Sci. and Eng.
OSTI ID:4164323
The second fundamental theorem of reactor theory states that a good estimate of the nonleakage probability from a bare reactor is given by the Fourier transform of the infinite medium kernel evaluated at the asymptotic buckling of the reactor. Inonu has investigated the validity of this theorem for the one-velocity slab reactor with isotropic scattering by means of a variational technique. He finds its use gives very good results even for quite small reactors with dimensions of the order of a few mean free paths. In the present paper the effect of anisotropy in the scattering on the validity of the theorem is investigated by a variationiteration technique. It is concluded that the theorem is, in general, less reliable the more anisotropic the scattering. (auth)
- Research Organization:
- Oak Ridge National Lab., Tenn.
- NSA Number:
- NSA-14-016418
- OSTI ID:
- 4164323
- Journal Information:
- Nuclear Sci. and Eng., Journal Name: Nuclear Sci. and Eng. Vol. Vol: 7
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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