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      A study on the criticality of modified neutron transport equation by using alternative scattering phase functions Translated title: Untersuchung der Kritikalität bei modifizierten Neutronentransportgleichungen mit Hilfe alternativer Streuphasenfunktionen

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      1 , * , , 2
      Kerntechnik
      Carl Hanser Verlag

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          Abstract

          PN approximation is known as a proper method to solve neutron transport equation when literature is taken into consideration. Generally, conventional scattering function is used to solve criticality and diffusion problems in Legendre polynomial approximation. In this study, instead of conventional scattering function, Henyey-Greenstein (HG) and Anlı-Gungor phase functions (AG) are used in slab geometry transport equation and some critical thicknesses of the slab are calculated as an application with Legendre polynomial (PN) approximation and Marshak boundary condition. Results obtained from HG and AG scattering functions are compared and the correlations and discrepancies between the two functions are presented in the tables.

          Kurzfassung

          Die PN Approximation ist aus der Literatur als geeignete Methode zur Lösung der Neutronentransportgleichung bekannt. Im Allgemeinen werden konventionelle Streufunktionen zur Lösung von Kritikalitäts- und Diffusionsproblemen bei der Approximation mit Legendre Polynomen verwendet. In dieser Arbeit werden statt konventioneller Streufunktionen, Henyey-Greenstein (HG) und Anlı-Güngör Phasenfunktionen (AG) bei der Lösung der Transportgleichung für Stabgeometrie verwendet. Einige kritische Halbwertsdicken werden berechnet als Anwendung der Approximation mit Legendre Polynomen (PN) unter Marshak Randbedingungen. Die mit den HG und AG Streufunktionen erhaltenen Ergebnisse werden verglichen und Korrelationen und Abweichungen zwischen den beiden Fuintkionen in tabellarischer Form dargestellt.

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          Most cited references14

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          Diffuse radiation in the Galaxy

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            Approximate two-parameter phase function for light scattering

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              TN approximation to reflected slab and computation of the critical half thicknesses

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                Author and article information

                Journal
                kt
                Kerntechnik
                Carl Hanser Verlag
                0932-3902
                2195-8580
                17 March 2015
                : 80
                : 1
                : 53-57
                Affiliations
                1 Sinop University, Faculty of Engineering and Architecture, Department of Nuclear Energy Engineering, 57000 Sinop, Turkey.
                2 Kahramanmaras Sutcu Imam University, Faculty of Arts and Sciences, Department of Physics, 46100 Kahramanmaraş, Turkey
                Author notes
                Article
                KT110481
                10.3139/124.110481
                8493856f-2489-4f74-9811-3db2c8ec805f
                © 2015, Carl Hanser Verlag, München
                History
                : 28 November 2014
                Page count
                References: 18, Pages: 5
                Categories
                Technical Contributions/Fachbeiträge

                Materials technology,Materials for energy,Nuclear physics
                Materials technology, Materials for energy, Nuclear physics

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