Analytic solution of the Spencer-Lewis angular-spatial moments equations

Journal Article · Sat Mar 01 00:00:00 EST 1986 · Nucl. Sci. Eng.; (United States)

OSTI ID:5856299

Filippone, W L

A closed-form solution for the angular-spatial moments of the Spencer-Lewis equation is presented that is valid for infinite homogeneous media. From the moments, the electron density distribution as a function of position and path length (energy) is reconstructed for several sample problems involving plane isotropic sources of electrons in aluminium. The results are in excellent agreement with those determined numerically using the streaming ray method. The primary use of the closed form solution will most likely be to generate accurate electron transport benchmark solutions. In principle, the electron density as a function of space, path length, and direction can be determined for planar sources of arbitrary angular distribution.

• Research Organization: University of Arizona, Department of Nuclear and Energy Engineering, Tucson, AZ 85721
• OSTI ID: 5856299
• Journal Information: Nucl. Sci. Eng.; (United States), Vol. 92:3
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ELECTRON MOBILITY
EQUATIONS
ALUMINIUM
ANALYTICAL SOLUTION
ANGULAR DISTRIBUTION
ELECTRON DENSITY
ISOTROPY
RADIATION STREAMING
SPATIAL DISTRIBUTION
DISTRIBUTION
ELEMENTS
METALS
MOBILITY
PARTICLE MOBILITY
654001* - Radiation & Shielding Physics- Radiation Physics
Shielding Calculations & Experiments