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One-Group Perturbation Theory Applied to Measurements with Void

Abstract

Formulas suitable for evaluating progressive as well as single rod substitution measurements are derived by means of one-group perturbation theory. The diffusion coefficient may depend on direction and position. By using the buckling concept one can derive expressions which are quite simple and the perturbed flux can be taken into account in a comparatively simple way. By using an unconventional definition of cells a transition region is introduced quite logically. Experiments with voids around metal rods, diam. 3.05 cm, have been analysed. The agreement between extrapolated and directly measured buckling values is excellent, the buckling difference between lattices with water-filled and voided shrouds being 0. 263 {+-} 0.015/m{sup 2} and 0.267 {+-} 0.005/m{sup 2} resp. From single-rod experiments differences between diffusion coefficients are determined to {delta}D{sub r}/D = 0.083 {+-} 0.004 and {delta}D{sub z}/D = 0.120 {+-} 0.018. With air-filled shrouds there is consequently anisotropy in the neutron diffusion and we have (D{sub z}/D{sub r}){sub air} = 1.034 {+-} 0.020.
Authors:
Publication Date:
Sep 15, 1966
Product Type:
Technical Report
Report Number:
AE-248
Resource Relation:
Other Information: 3 refs., 5 figs., 4 tabs.
Subject:
42 ENGINEERING; VOIDS; BUCKLING; NEUTRON FLUX; PERTURBATION THEORY
OSTI ID:
20949482
Research Organizations:
AB Atomenergi, Nykoeping (Sweden)
Country of Origin:
Sweden
Language:
English
Other Identifying Numbers:
TRN: SE0708459
Availability:
Commercial reproduction prohibited; OSTI as DE20949482
Submitting Site:
SWDN
Size:
26 pages
Announcement Date:
Dec 17, 2007

Citation Formats

Persson, Rolf. One-Group Perturbation Theory Applied to Measurements with Void. Sweden: N. p., 1966. Web.
Persson, Rolf. One-Group Perturbation Theory Applied to Measurements with Void. Sweden.
Persson, Rolf. 1966. "One-Group Perturbation Theory Applied to Measurements with Void." Sweden.
@misc{etde_20949482,
title = {One-Group Perturbation Theory Applied to Measurements with Void}
author = {Persson, Rolf}
abstractNote = {Formulas suitable for evaluating progressive as well as single rod substitution measurements are derived by means of one-group perturbation theory. The diffusion coefficient may depend on direction and position. By using the buckling concept one can derive expressions which are quite simple and the perturbed flux can be taken into account in a comparatively simple way. By using an unconventional definition of cells a transition region is introduced quite logically. Experiments with voids around metal rods, diam. 3.05 cm, have been analysed. The agreement between extrapolated and directly measured buckling values is excellent, the buckling difference between lattices with water-filled and voided shrouds being 0. 263 {+-} 0.015/m{sup 2} and 0.267 {+-} 0.005/m{sup 2} resp. From single-rod experiments differences between diffusion coefficients are determined to {delta}D{sub r}/D = 0.083 {+-} 0.004 and {delta}D{sub z}/D = 0.120 {+-} 0.018. With air-filled shrouds there is consequently anisotropy in the neutron diffusion and we have (D{sub z}/D{sub r}){sub air} = 1.034 {+-} 0.020.}
place = {Sweden}
year = {1966}
month = {Sep}
}