Criticality problem for highly anisotropic scattering. [Kernel, extreme forward bias, anisotropy]
Journal Article
·
· Transp. Theory Stat. Phys.; (United States)
The one-speed neutron criticality problem is investigated in general geometry for a fission and scattering kernel with an extreme forward bias. It is shown that a vanishing critical size does not exist for a body finite in all dimensions, as well as for an infinite cylinder. This is in contrast to a previous result reported in plane geometry. In general, a vanishing critical size will not exist if the second moment of Dirac's chord distribution is finite. This leads to the conclusion that a body must be infinite in two dimensions (e.g., a slab) to exhibit a vanishing critical thickness. Numerical results for spheres indicate that the critical radius varies monotonically with anisotropy, whereas infinite cylinders exhibit a critical radius varying non-monotonically with anisotropy. 4 references.
- Research Organization:
- Univ. of California, Los Angeles
- OSTI ID:
- 6074062
- Journal Information:
- Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 7:4; ISSN TTSPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
653006 -- Nuclear Theory-- Spontaneous & Induced Fission
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANISOTROPY
BARYON REACTIONS
COHERENT SCATTERING
CONFIGURATION
CRITICALITY
CYLINDRICAL CONFIGURATION
DATA
DATA FORMS
DIFFRACTION
FISSION
GEOMETRY
HADRON REACTIONS
INFORMATION
ISOLATED VALUES
KERNELS
MATHEMATICS
NEUTRON DIFFRACTION
NEUTRON REACTIONS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUMERICAL DATA
SCATTERING
SPHERICAL CONFIGURATION
THEORETICAL DATA
VARIATIONAL METHODS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
653006 -- Nuclear Theory-- Spontaneous & Induced Fission
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANISOTROPY
BARYON REACTIONS
COHERENT SCATTERING
CONFIGURATION
CRITICALITY
CYLINDRICAL CONFIGURATION
DATA
DATA FORMS
DIFFRACTION
FISSION
GEOMETRY
HADRON REACTIONS
INFORMATION
ISOLATED VALUES
KERNELS
MATHEMATICS
NEUTRON DIFFRACTION
NEUTRON REACTIONS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUMERICAL DATA
SCATTERING
SPHERICAL CONFIGURATION
THEORETICAL DATA
VARIATIONAL METHODS