Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials

Year 2015, Volume: 10 Issue: 2, 92 - 96, 22.11.2015

Ökkeş Ege Hakan Öztürk Ahmet Bülbül

Abstract

The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport equation to determine the diffusion coefficients of one-speed neutrons for selected values of the scattering parameters

Keywords

First kind of Chebyshev polynomials, neutron transport equation, diffusion approximation

Birinci Tip Chebyshev Polinomları ile Nötron Transport Denklemine Difüzyon Yaklaşımı

Abstract

Nötron transport teorisinde açısal akının seri açılımı için I. Tip Chebyshev polinomları kullanıldı. Tek hızlı nötronların difüzyon katsayılarını belirlemek için difüzyon yaklaşımı olarak bilinen ilk mertebe yaklaşımı saçılma parametrelerinin seçilen değerleri için tek boyutlu nötron transport denklemine uygulanmıştır.

Keywords

I. tip Chebyshev polinomları, nötron transport denklemi, difüzyon Yaklaşımı

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• Hakan Öztürk e-mail: [e-mail]
• Ahmet Bülbül e-mail: [e-mail]