A PROCEDURE FOR THE ANALYTIC SOLUTION OF THE ONE-DIMENSIONAL TWO-GROUP DIFFUSION EQUATIONS IN CYLINDRICALLY SYMMETRIC MULTI-REGION REACTORS
Technical Report
·
OSTI ID:4822375
A procedure is given which systematically and without loss of precision, reduces a problem of solving the onedimensional, two-group diffusion equations in cylindrically symmetric multi-region reactors to that of a single annular region. This is accomplished by using the given boundary conditions at the outermost (or innermost) boundary of the reactor to eliminate the unknowns in the outermost (or innermost) annular region and to calculate new boundary conditions to be applied to the remaining system of annuli. Repetition of the procedure reduces the problem to that of a single region and once the critical condition is satisfied in this single region, the fluxes at other interfaces in the original problem may be easily generated. The method is essentially one-dimensional but may be applied to other geometries, other modes and to other than two-group theory. (auth)
- Research Organization:
- Atomic Energy of Canada Ltd., Chalk River, Ont.
- NSA Number:
- NSA-16-001188
- OSTI ID:
- 4822375
- Report Number(s):
- CRNE-1023; AECL-1307
- Country of Publication:
- Canada
- Language:
- English
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