A semianalytic solution of the monoenergetic transport equation in cylindrical geometry and the derivation of fluxes from singular sources

Journal Article · Thu Sep 01 04:00:00 EDT 1983 · Nucl. Sci. Eng.; (United States)

OSTI ID:5004172

Fletcher, J K

The neutron flux /PHI/ (r,..cap omega..) at position r in the direction of unit vector ..cap omega.. is expanded as a series of the form with P /SUP M/ /SUB l/ (costheta),the associated Legendre polynomial of order l,m. Variables theta and /theta/ are the angles defining ..cap omega.. and N, an arbitrary odd number. Equations obtained for /phi/ /SUB lm/ (r) have solutions involving linear binations combinations of Bessel functions of the first and second kind. Expressions for the fluxes from point, line, and plane sources are found using a Green's function technique.

• Research Organization: United Kingdom Atomic Energy Authority, E276 UKAEA Risley, Warrington, Cheshire
• OSTI ID: 5004172
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 85:1; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
CALCULATION METHODS
CONFIGURATION
CYLINDRICAL CONFIGURATION
EQUATIONS
FUNCTIONS
GREEN FUNCTION
LEGENDRE POLYNOMIALS
NEUTRAL-PARTICLE TRANSPORT
NEUTRON FLUX
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
POLYNOMIALS
RADIATION FLUX
RADIATION TRANSPORT
TRANSPORT THEORY