Solution of the finite slab criticality problem using an alternative phase function with the second kind of Chebyshev polynomials

Hakan Öztürk; Ökkeş Ege

doi:10.1007/s41365-019-0552-z

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Solution of the finite slab criticality problem using an alternative phase function with the second kind of Chebyshev polynomials

NUCLEAR ENERGY SCIENCE AND ENGINEERING | Updated：2021-02-01

- Solution of the finite slab criticality problem using an alternative phase function with the second kind of Chebyshev polynomials
- Nuclear Science and Techniques Vol. 30, Issue 2, Article number: 29(2019)
- Affiliations：
  
  1.Osmaniye Korkut Ata University, Faculty of Arts and Sciences, Department of Physics, 80000 Osmaniye, Turkey.
- Author bio：
  
  Corresponding author E-mail: hakanozturk@osmaniye.edu.tr
- Funds：
- DOI：10.1007/s41365-019-0552-z
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Hakan Öztürk, Ökkeş Ege. Solution of the finite slab criticality problem using an alternative phase function with the second kind of Chebyshev polynomials. [J]. Nuclear Science and Techniques 30(2):29(2019)
DOI：

Hakan Öztürk, Ökkeş Ege. Solution of the finite slab criticality problem using an alternative phase function with the second kind of Chebyshev polynomials. [J]. Nuclear Science and Techniques 30(2):29(2019) DOI： 10.1007/s41365-019-0552-z.

摘要

Abstract

The critical size of a finite homogenous slab is investigated for one-speed neutrons using the alternative phase function (AG, Anlı-Güngör) in place of the scattering function of the transport equation. First, the neutron angular flux expanded in terms of the Chebyshev polynomials of second kind (,U,N, approximation) together with the AG phase function is applied to the transport equation to obtain a criticality condition for the system. Then, using various values of the scattering parameters, the numerical results for the critical half-thickness of the slab are calculated and they are tabulated in the tables together with the ones obtained from the conventional spherical harmonics (,P,N,) method for comparison. They can be said to be in good accordance with each other.

关键词

Keywords

Criticality problemUN methodneutron transport equationalternative phase function.

references

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