Calculation of the Neutron Diffusion Equation by Using Homotopy Perturbation Method

Koklu H., Ersoy A., Gulecyuz M. Ç., Ozer O.

9th International Physics Conference of the Balkan-Physical-Union (BPU), İstanbul, Türkiye, 24 - 27 Ağustos 2015, cilt.1722 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1722
  • Doi Numarası: 10.1063/1.4944130
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Ankara Üniversitesi Adresli: Evet

Özet

The distribution of the neutrons in a nuclear fuel element in the nuclear reactor core can be calculated by the neutron diffusion theory. It is the basic and the simplest approximation for the neutron flux function in the reactor core. In this study, the neutron flux function is obtained by the Homotopy Perturbation Method (HPM) that is a new and convenient method in recent years. One-group time-independent neutron diffusion equation is examined for the most solved geometrical reactor core of spherical, cubic and cylindrical shapes, in the frame of the HPM. It is observed that the HPM produces excellent results consistent with the existing literature.