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The singular eigenfunction method: the critical slab problem for linearly anisotropic scattering
Kerntechnik, 2005Abstract The 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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Critical Problems for Bare and Reflected Slabs and Spheres
Nuclear Science and Engineering, 1984High-order PN calculations of critical radii are carried out for both bare and reflected spheres in the one-speed model and also of critical half-thicknesses for slabs.
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Nuclear Science and Engineering, 1973
The problem treated in Part I in terms of a continuous µ-variable is here treated in the double-PN approximation for azimuthally symmetric situations.
Gerhard Caroll, Raphael Aronson
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The problem treated in Part I in terms of a continuous µ-variable is here treated in the double-PN approximation for azimuthally symmetric situations.
Gerhard Caroll, Raphael Aronson
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The slab albedo and criticality problem for the quadratic scattering kernel with the HN method
Kerntechnik, 2008Abstract The one speed, time independent neutron transport equation for slab geometry with quadratic anisotropic scattering kernel is considered. Albedo, transmission factor and criticality thickness are calculated by the HN method. The numerical results obtained are listed for different selected parameters.
Türeci, R. G., Güleçyüz, M. C.
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The critical slab problem for pure-triplet anisotropic scattering by singular eigenfunction method
Kerntechnik, 2017Abstract The infinite medium Green function can be written by using the jump condition, found Case's eigenfunctions. Thus, any reactor theory problem which is inplane geometry such the criticality problem as can be investigated by using the proper boundary conditions and suggested flux definitions.
Tureci, R. G., Tureci, D.
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Exact Solution of a Critical Problem for a Slab
Journal of Mathematical Physics, 1961By using the Case method of expansion of the angular neutron distribution into series with respect to eigenfunctions of the plane Boltzmann equation, the critical problem of a slab has been formulated. By means of symmetry considerations, the problem of boundary condition has been reduced to one singular integral equation, which has been treated by ...
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Remarks on criticality problems for slabs and spheres in energy-dependent neutron transport
Annals of Nuclear Energy, 1980Abstract This work outlines the generalization to the energy dependent case of some of the methods used to analyze multigroup and monoenergetic critical slab problems. New results for transport in energy-dependent spherical media are given.
H.D. Victory, Karl K. Mong
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On the existence of a solution for a slab critical problem
Journal of Physics A: Mathematical and General, 1980Proves that a discrete solution exists for the critical inverse eigenvalue problem by direct application of Gohberg's theorem.
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Numerical results concerning the effect of anisotropic scattering on the critical-slab problem
Journal of Physics D: Applied Physics, 1981The method of elementary solutions is used to deduce numerical results for the critical thickness of a multiplying slab in neutron-transport theory.
R D M Garcia, C E Siewert
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The FN method for anisotropic scattering in neutron transport theory: The critical slab problem
Journal of Quantitative Spectroscopy and Radiative Transfer, 1996Abstract The F N method which has been applied to many physical problems for isotropic and anisotropic scattering in neutron transport theory is extended for problems for extremely anisotropic scattering. This method depends on the Placzek lemma and the use of the infinite medium Green's function.
M.Ç. Güleçyüz, C. Tezcan
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