Neutron diffusion in water containing 1/v and non-1/v absorbers

Journal Article · Thu Mar 01 04:00:00 EST 1979 · Nucl. Sci. Eng.; (United States)

OSTI ID:6427038

Bansal, R M; Tewari, S P; Kothari, L S

Some results of a detailed study of neutron diffusion in water containing 1/v and non-1/v absorbers are reported. The Boltzmann transport equation was solved in the diffusion approximation by use of the multigroup method and the recent neutron scattering kernel proposed by the authors. The calculated values of diffusion length, L(T), in pure water in the temperature range from 0.5 to 60/sup 0/C are found to be in good agreement with most of the experimental results. (Results based on the Nelkin kernel are consistently higher.) The variation of L(T) is nonlinear up to 10/sup 0/C, but in the temperature range from 10 less than or equal to T less than or equal to 60/sup 0/C it can be expressed as L(T) = L(10/sup 0/C) + 0.00446 (T - 10). The computed values of the diffusion length in water poisoned with various concentrations of boron are consistent with the experimental results of Martinho and Costa Paiva. Fon non-1/v absorbers--cadmium and gadolinium solutions--calculations on space-dependent neutron spectra are reported. The calculated values of kappa /sub 0//sup 2/ (= 1/L/sup 2/) for various concentrations of cadmium and gadolinium are in good agreement with the experimental data of Goddard and Johnson. For high concentrations of cadmium, notable differences are observed between the present calculations and those based on the Nelkin kernel. 9 figures, 1 table.

• Research Organization: Univ. of Delhi, India
• OSTI ID: 6427038
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 69:3; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION
BARYONS
BOLTZMANN EQUATION
BORON COMPOUNDS
CADMIUM COMPOUNDS
DATA
DATA FORMS
DIFFERENTIAL EQUATIONS
DIFFUSION LENGTH
ELEMENTARY PARTICLES
EPITHERMAL NEUTRONS
EQUATIONS
FERMIONS
GADOLINIUM COMPOUNDS
GRAPHS
HADRONS
HYDROGEN COMPOUNDS
INFORMATION
MEDIUM TEMPERATURE
MULTIGROUP THEORY
NEUTRAL-PARTICLE TRANSPORT
NEUTRON DIFFUSION EQUATION
NEUTRON SPECTRA
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
NEUTRONS
NUCLEAR POISONS
NUCLEONS
NUMERICAL DATA
OXYGEN COMPOUNDS
RADIATION TRANSPORT
RANGE
RARE EARTH COMPOUNDS
REACTOR MATERIALS
RECIPROCAL V LAW
SLOWING-DOWN
SPECTRA
THEORETICAL DATA
THERMALIZATION
TRANSPORT THEORY
WATER