DIFFUSION TENSOR FOR SLAB GEOMETRY

Technical Report · Mon Dec 01 04:00:00 EST 1958

OSTI ID:4231159

Beeler, J R

The magnitudes of the diagonal elements of the diffusion tensor for an infinite array of alternate solid slabs and void gaps are estimated by use of a Monte Carlo computation. The results indicate that diffusion along the slab normal (transverse direction) proceeds at the same rate as in the homogeneous counterpart of the heterogeneous system. Diffusion in a direction parallel to the slab planes (longitudinal direction), however, proceeds much faster than in the homogeneous system. For solid slabs and void gaps of equal width the anisotropy factor (ratio of the longitudinal to the transverse diffusion coefficient) is 2.2 when the ratio of the mean free path (in the solid slab) to the solid slab width is 0.25, and is 1.25 when this ratio is 2.0. (auth)

• Research Organization: General Electric Co. Aircraft Nuclear Propulsion Dept., Cincinnati
• DOE Contract Number: AT(11-1)-171
• NSA Number: NSA-13-018212
• OSTI ID: 4231159
• Report Number(s): APEX-488; XDC-59-1-254
• Country of Publication: United States
• Language: English

Related Subjects

ANISOTROPY
CONFIGURATION
DIFFUSION
DIFFUSION LENGTH
HOMOGENEOUS REACTORS
MONTE CARLO METHOD
PHYSICS AND MATHEMATICS
PLATES
SOLIDS
TENSORS
VECTORS