Milne problem for isotropic scattering with a backward leak

Journal Article · Sat Jan 01 04:00:00 EST 1977 · Transp. Theory Stat. Phys.; (United States)

DOI:https://doi.org/10.1080/00411457708247953· OSTI ID:6946363

Tezcan, C

The Milne problem is studied for the case of the one-speed, time-independent, plane-symmetric Boltzmann equation, for which the scattering law is isotropic scattering with a backward leak. First of all, the new solution for the angular flux is expressed in terms of the solution of the Boltzmann equation with isotropic scattering. The expansion coefficients are determined by the resulting new boundary condition and orthogonality relations. The results for the expansion coefficients are given in the form of exact integral equations, but the numerical values for the extrapolated endpoint are obtained for the first-order approximate coefficients. The variation of the extrapolated endpoint with ..beta.., the degree of backward anisotropy, agrees in general with the previous findings.

• Research Organization: Middle East Technical Univ., Ankara
• OSTI ID: 6946363
• Journal Information: Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 6:2/3; ISSN TTSPB
• Country of Publication: United States
• Language: English

Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR DISTRIBUTION
BARYONS
BOLTZMANN EQUATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
HADRONS
MILNE PROBLEM
NEUTRON FLUX
NEUTRON TRANSPORT THEORY
NEUTRONS
NUCLEONS
ONE-GROUP THEORY
RADIATION FLUX
SERIES EXPANSION
SPATIAL DISTRIBUTION
TRANSPORT THEORY