NON-CELL CORRECTION TO THIN CELL HOMOGENIZATION
A common calculational procedure for reactors with fuel regions composed of thin cells, such as fuel regions made of a uniform array of fuel plates and moderator channels, is to represent such regions with homogenized constants. This procedure is desired in transport theory as well as in any order of approximation, such as diffusion theory, in order to avoid explicit representation of many fuel plates and moderator channels. These homogenized constants, or their equivalent in terms of energy-dependent homogenized number densities for each isotope in the fuel region, are commonly obtained through the flux-volume weighing method. This method consists of representing the fuel region as an infinite array of thin cells or subcells, i.e., a fuel plate between two haif moderator channels with symmetry boundary conditions on the outside boundaries. An energy-dependent transport solution is obtained for this subcell and the spatial flux solution at each energy is used to flux-volume weight cross sections or nuniber densities. Thus, at each energy the flux-volume weighted constants will give absorption rates in a homogenized medium equal to those of the subcell for the same integrated flux over space. (N.W.R.)
- Research Organization:
- Westinghouse Electric Corp. Bettis Atomic Power Lab., Pittsburgh
- DOE Contract Number:
- AT(11-1)-GEN-14
- NSA Number:
- NSA-17-035107
- OSTI ID:
- 4644856
- Report Number(s):
- WAPD-T-1571; CONF-39-56
- Resource Relation:
- Other Information: From American Nuclear Society 9th Annual Meeting, Salt Lake City, June 1963. Orig. Receipt Date: 31-DEC-63
- Country of Publication:
- United States
- Language:
- English
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