Neutron transport problems in a spherical shell

Journal Article · Sat Nov 01 04:00:00 EST 1975 · J. Math. Phys. (N.Y.), v. 16, no. 11, pp. 2260-2270

DOI:https://doi.org/10.1063/1.522456· OSTI ID:4190154

Sahni, D C

The density transform method was extended to cover spherically symmetric transport problems in a spherical shell. The density transform is expanded in plane geometry normal modes and explicit singular integral equations are derived for the expansion coefficients. It is shown that the Green's function method, introduced by Case et al., gives the same representation of total flux. The singular integral equations for the expansion coefficients are rederived using the analytic properties of some sectionally holomorphic functions introduced previously. (auth)

• Research Organization: Bhabha Atomic Research Centre, Bombay
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-004299
• OSTI ID: 4190154
• Journal Information: J. Math. Phys. (N.Y.), v. 16, no. 11, pp. 2260-2270, Journal Name: J. Math. Phys. (N.Y.), v. 16, no. 11, pp. 2260-2270; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

*NEUTRON TRANSPORT THEORY-- SPHERICAL CONFIGURATION
641600*
GEOMETRY
GREEN FUNCTION
INTEGRAL EQUATIONS
N68100* --Physics (Nuclear)--Neutron Interactions with Matter
SERIES EXPANSION
SINGULARITY
SYMMETRY