Effective medium temperature for calculating the Doppler broadening function using Kaniadakis distribution

摘要

This paper presents a method that establishes a relation of equivalence between the Doppler broadening function psi(x, xi) using the Maxwell-Boltzmann distribution and the Deformed Doppler broadening function psi(kappa)(x, xi), according to the generalised Kaniadakis distribution, through the effective temperature of the medium T-ef.Although the Kaniadakis distribution is more precise, its implementation in existing computer systems, in reactor design calculation is a complex undertaking due to the amount of computing time. To overcome this hurdle, the main objective of this paper is to present a simple methodology that allows calcu- lation of the Deformed Doppler broadening function psi(kappa)(x, xi), with the Kaniadakis distribution based on the idea of a mapping of the Deformed Doppler broadening function, psi(x, xi) via a polynomial multidimensional parametrization.Deformed Doppler broadening function psi(kappa)(x, xi) is approximated by the Doppler broadening function psi(x, (xi) over tilde), where xi is associated to the temperature of medium T and (xi) over tilde relates to the effective temperature of medium T-ef. That is, in calculation systems aimed at determining multigroup cross sections, it will only be necessary to replace T with T-ef. (C) 2021 Elsevier Ltd. All rights reserved.