Spherical albedo problem for isotropic scattering
-
R.G. Türeci
Abstract
The pseudo-slab problem by using the HN method, proper neutron flux definitions and physical boundary conditions is used to study spherical albedo. The selected numerical values can be compared with data available in the literature. The sphere radius can be calculated for the secondary neutron number and for the spherical albedo.
Kurzfassung
Das Pseudo-Platten Problem wird mit Hilfe der HN Methode, geeigneter Neutronenflussbestimmungen und physikalischen Randbedingungen verwendet, um die sphärische Albedo zu untersuchen. Die ausgewählten numerischen Werte werden verglichen mit den in der Literatur verfügbaren Daten. Der Kugelradius kann für die Sekundärneutronenzahl berechnet werden und für die sphärische Albedo.
References
1 Mitsis, G. J.: Transport Solutions to the Monoenergetic Critical Problems (Thesis). Argonne National Laboratory (1963) 10.2172/4118021Search in Google Scholar
2 Case, K. M.; Zweifel, P.F.: Linear Transport Theory. Massachusetts: Addition-Wesley (1967)Search in Google Scholar
3 Siewert, C. E.; Grandjean, P.: The FN method in neutron transport theory Part II: applications and numerical results. Nuclear Science and Engineering69 (1979) 161Search in Google Scholar
4 Grandjean, P.; Siewert, C. E.: Three Basic Neutron-Transport Problems in Spherical Geometry. Nuc. Sci. Eng.70 (1979) 96Search in Google Scholar
5 Tezcan, C.; Güleçyüz, M. Ç.; Türeci, R. G.; Kaşkaş, A.: The HN method for half-space albedo and constant source problem for isotropic and anisotropic scattering kernels. JQSRT103 (2007) 611Search in Google Scholar
6 Tezcan, C.; Kaşkaş, A.; Güleçyüz, M. Ç.: The HN method for solving linear transport equation: theory and applications. JQSRT78 (2003) 243Search in Google Scholar
7 Türeci, R. G.; Güleçyüz, M. Ç.; KaşkaşA.; Tezcan, C.: Application of the HN method to the critical slab problem for reflecting boundary conditions. JQSRT88 (2004) 499Search in Google Scholar
8 Bulut, S.; Güleçyüz, M. Ç.; Kaşkaş, A.; Tezcan, C.: The effects of different expansions of the exit distribution on the extrapolation length for linearly anisotropic scattering. Kerntechnik71 (2007) 77Search in Google Scholar
9 Siewert, C. E.; Wu, S.: One-speed transport theory for spherical media with internal sources and incident radiation. Journal of Applied Mathematics and Physics26 (1975) 637Search in Google Scholar
© 2008, Carl Hanser Verlag, München
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Application of the HN method to radiative heat transfer for a non-conservative slab
- Application of the spectral Green's function method for numerically solving discrete ordinates problems in cylindrical geometry
- Chebyshev polynomial (TN) approximation to neutron transport theory and application to the critical slab problem
- Spherical albedo problem for isotropic scattering
- The slab albedo and criticality problem for the quadratic scattering kernel with the HN method
- An analytical solution for the time-dependent SN transport equation in a slab
- Deterministic calculation of grey Dancoff factors in cluster cells with cylindrical outer boundaries
- New calculations of excitation functions of some positron emitting and single photon emitting radioisotopes
- Prediction of the time-dependent failure rate for normally operating components taking into account the operational history
- Assessment of FEMAXI and TESPA-ROD codes for modelling of BDBA in RBMK-1500
- A study on the neutronic performance of the ARIES-RS fusion reactor with various coolants bearing nuclear fuel
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Application of the HN method to radiative heat transfer for a non-conservative slab
- Application of the spectral Green's function method for numerically solving discrete ordinates problems in cylindrical geometry
- Chebyshev polynomial (TN) approximation to neutron transport theory and application to the critical slab problem
- Spherical albedo problem for isotropic scattering
- The slab albedo and criticality problem for the quadratic scattering kernel with the HN method
- An analytical solution for the time-dependent SN transport equation in a slab
- Deterministic calculation of grey Dancoff factors in cluster cells with cylindrical outer boundaries
- New calculations of excitation functions of some positron emitting and single photon emitting radioisotopes
- Prediction of the time-dependent failure rate for normally operating components taking into account the operational history
- Assessment of FEMAXI and TESPA-ROD codes for modelling of BDBA in RBMK-1500
- A study on the neutronic performance of the ARIES-RS fusion reactor with various coolants bearing nuclear fuel
