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Higher order TN approximation for the neutron diffusion problem in a slab reactor    
Yazarlar (2)
Hakan Öztürk
Türkiye
Dr. Öğr. Üyesi Büşra DURMAZ Dr. Öğr. Üyesi Büşra DURMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
Higher order approximations of the Chebyshev polynomials of first kind (TN) are used for the first time in calculation of the diffusion lengths of monoenergetic neutrons in a homogeneous slab. In the method, the diffusion lengths of the neutrons are calculated using various values of the c, the number of secondary neutrons per collision. First, the traditional Legendre polynomials (PN) approximation and then the present TN method are used separately. The numerical results for the diffusion lengths are tabulated in the tables up to an order of N = 9. A brief comparison is also done between the results obtained from the present method and the ones in literature. The advantages of the present method can easily be observed from the good accordance between results given in the tables for comparison and its easily executable equations. For many of the c values, the results obtained from TN method are better than the results obtained from PN method.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Kerntechnik
Dergi ISSN 0932-3902
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili Türkçe
Basım Tarihi 08-2021
Cilt No 86
Sayı 4
Sayfalar 294 / 301
Doi Numarası 10.1515/kern-2021-0012
Makale Linki http://dx.doi.org/10.1515/kern-2021-0012