An analytical solution for the time-dependent SN transport equation in a slab
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C. F. Segatto
, M. T. Vilhena and T. T. Gonçalez
Abstract
In this work an analytical solution for the time-dependent SN transport equation in a slab using the double Laplace transform technique is reported. This procedure leads to an analytical solution for the angular flux in integral form. Numerical simulations are presented and compared with results in the literature.
Kurzfassung
Eine analytische Lösung für die zeit-abhängige SN Transportgleichung in einer Platte. In diesem Beitrag wird eine analytische Lösung der zeit-abhängigen SN Transportgleichung in einer Platte mit Hilfe der zweidimensionalen Laplace-Transformation beschrieben. Dieses Verfahren führt zu einer analytischen Lösung für den raumwinkelbezogenen Fluß in integraler Form. Numerische Simulationen werden vorgestellt und mit Ergebnissen aus der Literatur verglichen.
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© 2008, Carl Hanser Verlag, München
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
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- An analytical solution for the time-dependent SN transport equation in a slab
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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