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The singular eigenfunction method: The critical slab problem for linearly anisotropic scattering
2020The critical slab problem for linearly anisotropic scattering is investigated using the singular eigenfunction method. The third form of the transport equation is considered. The singular eigenfunctions for linearly anisotropic scattering are inserted into the Green's function.
Türeci, R. Gökhan +3 more
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Nuclear Science and Techniques, 2019
The critical size of a finite homogenous slab is investigated for one-speed neutrons using the alternative phase function (AG, Anli–Gungor) in place of the scattering function of the transport equation. First of all, the neutron angular flux expanded in terms of the Chebyshev polynomials of second kind (UN approximation) together with the AG phase ...
Hakan Öztürk, Ökkeş Ege
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The critical size of a finite homogenous slab is investigated for one-speed neutrons using the alternative phase function (AG, Anli–Gungor) in place of the scattering function of the transport equation. First of all, the neutron angular flux expanded in terms of the Chebyshev polynomials of second kind (UN approximation) together with the AG phase ...
Hakan Öztürk, Ökkeş Ege
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Progress in Nuclear Energy, 1997
Abstract The one-speed transport equation is applied to a homogenous, one-dimensional multiplying medium with linearly anisotropic scattering. Case's singular eigenfunction method is used to formulate the criticality conditions. In addition to available bi- ortogonality relations in the literature, some parallel relations are derived to obtain the ...
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Abstract The one-speed transport equation is applied to a homogenous, one-dimensional multiplying medium with linearly anisotropic scattering. Case's singular eigenfunction method is used to formulate the criticality conditions. In addition to available bi- ortogonality relations in the literature, some parallel relations are derived to obtain the ...
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Kerntechnik, 2008
Abstract The critical slab problem has been studied in the one-speed neutron transport equation with isotropic scattering by using the first kind of Chebyshev Polynomials. The moment criticality solutions were obtained for the uniform finite slab using Mark and Marshak type vacuum boundary conditions.
A. Bülbül, F. Anlı
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Abstract The critical slab problem has been studied in the one-speed neutron transport equation with isotropic scattering by using the first kind of Chebyshev Polynomials. The moment criticality solutions were obtained for the uniform finite slab using Mark and Marshak type vacuum boundary conditions.
A. Bülbül, F. Anlı
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Kerntechnik, 2007
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.
Oeztuerk, H., Anli, E., Guengoer, S.
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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.
Oeztuerk, H., Anli, E., Guengoer, S.
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The singular eigenfunction method: the critical slab problem for linearly anisotropic scattering (2)
2020WOS ...
Türeci, R. Gökhan +3 more
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On the Problem of Heat Transfer in a Phase-Change Slab Initially Not at the Critical Temperature
Journal of Heat Transfer, 1987A one-dimensional heat transfer problem in the phase-change slab, one side of which is isothermal while the other is insulated, is considered. Both cases—fusion and solidification—are treated. Slab temperature at the intitial moment is assumed constant and not critical.
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Annals of Nuclear Energy, 2007
Abstract In this study, a recently proposed version of Chebyshev polynomial approximation which was used in spectrum and criticality calculations by one-speed neutron transport equation for slabs with isotropic scattering is further developed to slab criticality problems for strongly anisotropic scattering.
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Abstract In this study, a recently proposed version of Chebyshev polynomial approximation which was used in spectrum and criticality calculations by one-speed neutron transport equation for slabs with isotropic scattering is further developed to slab criticality problems for strongly anisotropic scattering.
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Modified UN method for the reflected critical slab problem with forward and backward scattering
Kerntechnik, 2011Abstract The critical slab problem is investigated in one-speed neutron transport theory for reflecting boundary conditions using second kind Chebyshev polynomials approximation. The forward-backward-isotropic scattering kernel is used in a uniform homogeneous slab.
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Kerntechnik, 2010
Abstract A modified version of the UN method is used to solve the critical slab problem in the case of a combination of forward and backward scattering with isotropic scattering in a uniform finite slab. The Marshak boundary condition is used for the calculation of the critical slab thicknesses and it is shown that the method gives ...
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Abstract A modified version of the UN method is used to solve the critical slab problem in the case of a combination of forward and backward scattering with isotropic scattering in a uniform finite slab. The Marshak boundary condition is used for the calculation of the critical slab thicknesses and it is shown that the method gives ...
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