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Calculation of the geometric buckling for reactors of various shapes

Abstract

A systematic investigation is made of the eleven coordinate systems in which the reactor equation {nabla}{sup 2}{phi} + B{sup 2}{phi} = 0 is separable. The fundamental solution and geometric buckling are given for those cases where the separated equations lead to known functions. It is especially shown that reactors of prolate and oblate spheroidal shape can be calculated in detail, and the results are given in extensive tables.
Authors:
Publication Date:
May 15, 1958
Product Type:
Technical Report
Report Number:
AE-1
Resource Relation:
Other Information: 8 refs., 2 tabs
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; ANALYTICAL SOLUTION; NEUTRON FLUX; SPHEROIDS; GEOMETRIC BUCKLING; REACTORS; NEUTRON TRANSPORT THEORY
OSTI ID:
20923652
Research Organizations:
AB Atomenergi, Stockholm (Sweden)
Country of Origin:
Sweden
Language:
English
Other Identifying Numbers:
TRN: SE0708206
Availability:
Commercial reproduction prohibited; OSTI as DE20923652
Submitting Site:
SWDN
Size:
26 pages
Announcement Date:
Sep 27, 2007

Citation Formats

Sjoestrand, N E. Calculation of the geometric buckling for reactors of various shapes. Sweden: N. p., 1958. Web.
Sjoestrand, N E. Calculation of the geometric buckling for reactors of various shapes. Sweden.
Sjoestrand, N E. 1958. "Calculation of the geometric buckling for reactors of various shapes." Sweden.
@misc{etde_20923652,
title = {Calculation of the geometric buckling for reactors of various shapes}
author = {Sjoestrand, N E}
abstractNote = {A systematic investigation is made of the eleven coordinate systems in which the reactor equation {nabla}{sup 2}{phi} + B{sup 2}{phi} = 0 is separable. The fundamental solution and geometric buckling are given for those cases where the separated equations lead to known functions. It is especially shown that reactors of prolate and oblate spheroidal shape can be calculated in detail, and the results are given in extensive tables.}
place = {Sweden}
year = {1958}
month = {May}
}