Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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A novel analytical solution of the deformed Doppler broadening function using the Kaniadakis distribution and the comparison of computational efficiencies with the numerical solution

  • Abreu, Willian V. de (Nuclear Engineering Program - PEN/COPPE-Universidade Federal do Rio de Janeiro) ;
  • Martinez, Aquilino S. (Nuclear Engineering Program - PEN/COPPE-Universidade Federal do Rio de Janeiro) ;
  • Carmo, Eduardo D. do (Nuclear Engineering Program - PEN/COPPE-Universidade Federal do Rio de Janeiro) ;
  • Goncalves, Alessandro C. (Nuclear Engineering Program - PEN/COPPE-Universidade Federal do Rio de Janeiro)
  • Received : 2021.07.20
  • Accepted : 2021.10.05
  • Published : 2022.04.25
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Abstract

This paper aims to present a new method for obtaining an analytical solution for the Kaniadakis Doppler broadening (KDB) function. Also, in this work, we report the computational efficiencies of this solution compared with the numerical one. The solution of the differential equation achieved in this paper is free of approximations and is, consequently, a more robust methodology for obtaining an analytical representation of ψk. Moreover, the results show an improvement in efficiency using the analytical approximation, indicating that it may be helpful in different applications that require the calculation of the deformed Doppler broadening function.

Keywords

Acknowledgement

This study was financed in part by the Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq). The authors also thank Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES) for support through the Procad-Defesa program, professor Su Jian, Kieran Nelson for his proofreading service and the reviewers for their thoughtful comments and efforts towards improving our manuscript.

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