APPLICATIONS OF THE RAYLEIGH-RITZ APPROXIMATION. PART I. UPPER BOUNDS FOR THE CRITICAL LAPLACIANS OF SOME SIMPLE SOLIDS
Technical Report
·
OSTI ID:4290140
Two methods are given for obtaining simple upper bounds for the critical Laplacians of some simple solids. The methods are based on the variational principle for one-group diffusion theory. Upper bounds are given for the critical Laplaeians of reflected, infinitely long, circular and elliptical cylinders; a reflected, infinitely long rectangular prism, and a completely reflected finite circular cylinder. In the example of a circular cylinder with a non-capturing reflector the upper bound for the critical Laplacian lambda /sup 2/ is within 0.12% of the correct value. A typical fast reactor is used as an example of both methods. (auth)
- Research Organization:
- United Kingdom Atomic Energy Authority. Industrial Group. H.Q., Risley, Lancs, England
- NSA Number:
- NSA-13-009366
- OSTI ID:
- 4290140
- Report Number(s):
- IGR-R/R-220
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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