HN solutions of the time dependent linear neutron transport equation for a slab and a sphere
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G. Türeci
Abstract
The HN method is used to calculate the time eigenvalues in one speed neutron transport theory for a slab and a sphere with given boundary conditions. The angular distribution of the method of elementary solutions and the orthogonality relations of the singular eigenfunctions are used. Calculations are performed considering both the angular and the incoming angular distributions at the boundaries of the given medium. Numerical values are compared with the data available in literature.
Kurzfassung
Mit Hilfe der HN-Methode werden in ebener und sphärischer Geometrie die Zeiteigenwerte in der Eingruppen-Neutronentransporttheorie unter gegebenen Randbedingungen berechnet. Dies wird ausgeführt unter Verwendung der Methode elementarer Lösungen und der Orthogonalitätsbeziehungen für singuläre Eigenfunktionen sowie unter Berücksichtigung der Winkelverteilungen an den Grenzen des gegebenen Mediums. Die numerischen Werte werden verglichen mit den in der Literatur verfügbaren Daten.
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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
