Application of the UN method to the reflected critical slab problem for one-speed neutrons with forward and backward scattering
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H. Öztürk
Abstract
The UN method is used to solve the critical slab problem for reflecting boundary conditions in one-speed neutron transport theory. The isotropic scattering kernel with the combination of forward and backward scattering is chosen for the neutrons in a uniform finite slab. It is shown that the method converges rapidly with easily executable equations. The presented numerical results are compared with the results available in the literature.
Kurzfassung
Das Kritikalitätsproblem in der Eingruppen-Neutronentransporttheorie wird mit Hilfe der UN-Methode in ebener Geometrie mit Reflektorrandbedingungen gelöst. Zur Beschreibung der Neutronenstreuung in einer endlichen homogenen Platte wurde ein isotroper Streukern gewählt, der Vorwärts- und Rückwärtsstreuung kombiniert. Es wird gezeigt, dass diese auf leicht auszuführenden Gleichungen basierende Methode schnell konvergiert. Die vorgestellten numerischen Ergebnisse werden verglichen mit den in der Literatur verfügbaren Daten.
References
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© 2007, Carl Hanser Verlag, München
Artikel in diesem Heft
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Wavelet techniques for the determination of the decay ratio in boiling water reactors
- Analytical and experimental investigations of shear stress in rod bundles with irregular cells
- Incineration of weapon grade plutoniumin a (DT) fusion driven hybrid reactor using various coolants
- Calculation of the pin power distribution for a thorium reactor assembly and benchmarking
- Comparative assessment of methods for the reactivity measurement in subcritical systems by pulsed experiments
- Thermal-hydraulic modeling of reactivity accidents in MTR reactors
- Prediction of the onset of flow instability in the ETRR-2 research reactor under loss of flow accident
- Time-dependent albedo problem for quadratic anisotropic scattering
- HN solutions of the time dependent linear neutron transport equation for a slab and a sphere
- Application of the UN method to the reflected critical slab problem for one-speed neutrons with forward and backward scattering
- The effects of different expansions of the exit distribution on the extrapolation length for linearly anisotropic scattering
- Technical Note
- Shadowing the earth from Lagrange Point L1
Artikel in diesem Heft
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Wavelet techniques for the determination of the decay ratio in boiling water reactors
- Analytical and experimental investigations of shear stress in rod bundles with irregular cells
- Incineration of weapon grade plutoniumin a (DT) fusion driven hybrid reactor using various coolants
- Calculation of the pin power distribution for a thorium reactor assembly and benchmarking
- Comparative assessment of methods for the reactivity measurement in subcritical systems by pulsed experiments
- Thermal-hydraulic modeling of reactivity accidents in MTR reactors
- Prediction of the onset of flow instability in the ETRR-2 research reactor under loss of flow accident
- Time-dependent albedo problem for quadratic anisotropic scattering
- HN solutions of the time dependent linear neutron transport equation for a slab and a sphere
- Application of the UN method to the reflected critical slab problem for one-speed neutrons with forward and backward scattering
- The effects of different expansions of the exit distribution on the extrapolation length for linearly anisotropic scattering
- Technical Note
- Shadowing the earth from Lagrange Point L1
