A new technique for Milne’s problem with specular and diffuse reflecting boundary

A new technique is used to solve the Milne integral equation with specular and diffuse reflecting boundary. This method is based on constructing integral equations which linked with the Milne integral equation. A trial function with three parameters for the particle density is used. These parameters...

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Bibliographic Details
Published in:Annals of nuclear energy 2010-11, Vol.37 (11), p.1443-1446
Main Authors: Degheidy, A.R., El-Shahat, A.
Format: Article
Language:English
Subjects:
Angular distribution
Boundaries
Density
Diffusion
Extrapolation
Integral equations
Mathematical analysis
Milne problem
Nuclear engineering
Radiative transfer
Reflective boundary
Reflectivity
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Summary:A new technique is used to solve the Milne integral equation with specular and diffuse reflecting boundary. This method is based on constructing integral equations which linked with the Milne integral equation. A trial function with three parameters for the particle density is used. These parameters are determined and used to calculate some physical quantities. The effect of specular and diffuse reflectivities of the boundary on the extrapolated endpoint and the angular distribution has been assessed. Our results are compared with the available published data which show excellent agreement.
ISSN:0306-4549
1873-2100
DOI:10.1016/j.anucene.2010.06.021