Study of the effect of anisotropic scattering on the critical slab problem in neutron transport theory using Chebyshev polynomials
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H. Öztürk
Abstract
The effect of anisotropic scattering on the variation of the critical thickness for one-speed neutrons in a uniform finite slab has been studied using Marshak boundary conditions. Chebyshev polynomials of the second kind are used in the angular part of the neutron flux. The critical slab thicknesses are calculated for various values of collision and anisotropy parameters. Numerical results obtained by the present method for the critical thickness are presented in the tables together with the results obtained by Legendre polynomials approximation and the ones available in the literature for comparison.
Kurzfassung
Der Effekt anisotroper Streuung auf die Variation der kritischen Dicke für Eingruppen-Neutronen in einer gleichförmigen endlichen Platte wurde mit Hilfe der Marshak Randbedingungen untersucht. Tschebyscheff-Polynome zweiter Ordnung werden für den winkelabhängigen Teil des Neutronenflusses verwendet. Die Dicken der kritischen Platten werden berechnet für verschiedene Werte von Stoß- und Anisotropieparametern. Die mit Hilfe dieser Methode erhaltenen numerischen Ergebnisse für die kritische Dicke werden in tabellarischer Form vorgestellt zusammen mit den Ergebnissen von Näherungsrechnungen mit Legendre-Polynomen und mit den in der Literatur verfügbaren Werten zum Vergleich.
References
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© 2008, Carl Hanser Verlag, München
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- A comparative study on classical polynomial approximations to the transport equation in spherical media albedo problems
- Solution of half space and slab albedo problems for linearly anisotropic scattering with the modified FN method
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Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Development and validation of the pressure surge computer code DYVRO mod. 3
- Simulation model of a nuclear power plant turbine
- Study on the thermal-hydraulics characteristics of a boiling two-phase natural circulation loop with nanofluids
- The effect of combination of different materials on neutron absorption in a nuclear research reactor spent fuel pool
- Re-evaluation of the criticality experiments of the “Otto Hahn Nuclear Ship” reactor
- Potential advantages and disadvantages of sequentially building small nuclear units instead of a large nuclear plant
- Radiological consequences of potential sabotage attack to storage casks on the ISFSI site
- Unified treatment of the P(λ)n approximation to solve the reflected slab criticality problem with strong anisotropy
- A comparative study on classical polynomial approximations to the transport equation in spherical media albedo problems
- Solution of half space and slab albedo problems for linearly anisotropic scattering with the modified FN method
- Study of the effect of anisotropic scattering on the critical slab problem in neutron transport theory using Chebyshev polynomials
