Time-dependent single-collision kernels for integral transport theory
Journal Article
·
· Nuclear Science and Engineering; (USA)
OSTI ID:5199523
- Univ. of Wisconsin, Madison, Nuclear Engineering and Engineering Physics, WI (US)
The authors discuss time-dependent integral transport equation single-collision kernels for one-dimensional geometries corresponding to the steady-state single-collision kernels found in the available literature calculated by making use of the Laplace transform technique, simple geometric transformation relationships, and point kernel integrations. Using the convolution theorem, the time-dependent scalar flux is obtained by convoluting the single-collision kernel with the time-dependent source. Using the multiple collision formulation of the integral transport solution isotropic sources thar are delta distributions in time are considered in several examples. Analytical solutions for the uncollided and first-collided scalar fluxes are obtained for a boundary source having an isotropic angular distribution directed into a semi-infinite medium and into a slab of thickness b and for a point source at the origin of an infinite medium and finite sphere of radius a.
- OSTI ID:
- 5199523
- Journal Information:
- Nuclear Science and Engineering; (USA), Journal Name: Nuclear Science and Engineering; (USA) Vol. 102:2; ISSN 0029-5639; ISSN NSENA
- 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
640304 -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANALYTICAL SOLUTION
COLLISIONS
EQUATIONS
GEOMETRY
INTEGRAL EQUATIONS
INTEGRAL TRANSFORMATIONS
KERNELS
LAPLACE TRANSFORMATION
MATHEMATICS
NEUTRON TRANSPORT THEORY
ONE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TRANSFORMATIONS
TRANSPORT THEORY
220100* -- Nuclear Reactor Technology-- Theory & Calculation
640304 -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANALYTICAL SOLUTION
COLLISIONS
EQUATIONS
GEOMETRY
INTEGRAL EQUATIONS
INTEGRAL TRANSFORMATIONS
KERNELS
LAPLACE TRANSFORMATION
MATHEMATICS
NEUTRON TRANSPORT THEORY
ONE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TRANSFORMATIONS
TRANSPORT THEORY