TY - JOUR T1 - Zamana Bağlı, Tek-Hızlı ve Tek-Boyutlu Anizotropik Saçılmalı Nötron Transport Probleminin Özdeğer Spektrumu için UNYaklaşımı TT - UNApproximation for the Eigenvalue Spectrum of Time-Dependent, One-Speed and One-Dimensional Neutron Transport Problem with Anisotropic Scattering AU - Öztürk, Hakan AU - Saraç, Ülker PY - 2016 DA - December JF - Süleyman Demirel University Faculty of Arts and Science Journal of Science PB - Süleyman Demirel University WT - DergiPark SN - 1306-7575 SP - 75 EP - 81 VL - 11 IS - 2 LA - tr AB - Düzgünsonlu bir dilimde tek-hızlı zamana bağlı nötron transport teorisinde özdeğerspektrumu çalışılmıştır. İleri ve geri saçılmayla birlikte lineer anizotropiksaçılma foknsiyonu kullanılmış ve zamana bağlı nötron transport denklemikararlı denkleme indirgenmiştir. Nümerik özdeğerler, Chebyshev polinomlarıyaklaşımı yöntemi kullanılarak, zaman bozunum sabitinin seçilmiş bazı değerlerive saçılma parametrelerinin farklı değerleri için hesaplanmıştır. KW - Nötron transport denklemi KW - anizotropik saçılma KW - özdeğerler KW - UNyaklaşımı N2 - The eigenvaluespectrum is studied in one-speed time-dependent neutron transport theory in auniform finite slab. The linear anisotropic scattering kernel together with thecombination of forward and backward scattering is used and time-dependentneutron transport equation is reduced to a stationary one. Numerical results ofeigenvalues for various combinations of the scattering parameters and theselected values of the time decay constant are performed by using the Chebyshevpolynomials approximation method. CR - Sahni D.C., Sjöstrand N.G., Garis N.S., 1992. Criticality and time eigenvalues for one-speed neutrons in a slab with forward and backward scattering, Journal of Physics D: Applied Physics,25: 1381-1389. CR - Yildiz C., 1999. Influence of anisotropic scattering on the size of time-dependent systems in monoenergetic neutron transport, Journal of Physics D: Applied Physics, 32: 317-325. CR - Öztürk H., 2008.Study of the effect of anisotropic scattering on the critical slab problem in neutron transport theory using Chebyshev polynomials, Kerntechnik, 73: 284-287. CR - Bell G.I., Glasstone S., 1972. Nuclear reactor theory, VNR Company, New York, p. 611. CR - Sahni D.C., Sjöstrand N.G., 1990. Criticality and time eigenvalues for one-speed neutron transport, Progress in Nuclear Energy, 23: 241–289. CR - Carlvik I., 1968. Monoenergetic critical parameters and decay constants for small homogeneous spheres and thin homogeneous slabs, Nuclear Science and Engineering, 31: 295-303. UR - https://dergipark.org.tr/en/pub/sdufeffd/issue//290883 L1 - https://dergipark.org.tr/en/download/article-file/274638 ER -