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Title: THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION

Abstract

The spherical harmonics method is extended to a multi-velocity group theory and is illustrated by application to a two-velocity group theory in P/sub 3/ aporoximation in spherical and in plane symmetrical geometry. The method is applied, in the 2-group P/sub 3/ aporoximation, to finding the critical radius of a spherical core surrounded by a tamper of uniform thickness, and the critical thickness of an infinite slab core with equal thicknesses of tamper on each side. (auth)

Authors:
Publication Date:
Research Org.:
Gt. Brit. Atomic Energy Research Establishment, Harwell, Berks, England
OSTI Identifier:
4260298
Report Number(s):
AERE-T/R-1295
NSA Number:
NSA-13-010134
Resource Type:
Technical Report
Resource Relation:
Other Information: Orig. Receipt Date: 31-DEC-59
Country of Publication:
United Kingdom
Language:
English
Subject:
PHYSICS AND MATHEMATICS; CONFIGURATION; GROUP THEORY; MATHEMATICS; REACTOR CORE; REACTORS; REFLECTORS; SPHERES; SPHERICAL HARMONICS; TAMPER; THICKNESS; VELOCITY; VOLUME

Citation Formats

Mandl, M E. THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION. United Kingdom: N. p., 1953. Web.
Mandl, M E. THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION. United Kingdom.
Mandl, M E. Sun . "THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION". United Kingdom.
@article{osti_4260298,
title = {THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION},
author = {Mandl, M E},
abstractNote = {The spherical harmonics method is extended to a multi-velocity group theory and is illustrated by application to a two-velocity group theory in P/sub 3/ aporoximation in spherical and in plane symmetrical geometry. The method is applied, in the 2-group P/sub 3/ aporoximation, to finding the critical radius of a spherical core surrounded by a tamper of uniform thickness, and the critical thickness of an infinite slab core with equal thicknesses of tamper on each side. (auth)},
doi = {},
url = {https://www.osti.gov/biblio/4260298}, journal = {},
number = ,
volume = ,
place = {United Kingdom},
year = {1953},
month = {11}
}

Technical Report:
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