Title: On the new parameterisation of the eddy diffusivity for radioactive pollutant dispersion

Authors: Davidson Martins Moreira, Pedro M.M. Soares, Antonio Gledson Goulart, Marco Tullio Vilhena

Addresses: Universidade Federal do Pampa – UNIPAMPA, Rua Carlos Barbosa S/N, Bairro Getulio Vargas, CEP 96412–420, Bage RS, Brazil. ' Instituto Dom Luiz, Centro de Geofísica da Universidade de Lisboa, Faculdade de Ciencias da Universidade de Lisboa, Edifício C8, Piso 3, Gabinete 26 Campo Grande, 1749-016 Lisboa, Portugal. ' Universidade Federal do Pampa – UNIPAMPA, Rua Carlos Barbosa S/N, Bairro Getulio Vargas, CEP 96412–420, Bage RS, Brazil. ' Universidade Federal do Rio Grande do Sul – UFRGS/PROMEC, Sarmento Leite, 425, 3° andar, CEP 90046–900, Porto Alegre, RS, Brazil

Abstract: In the present work, starting from the evolution equation for the turbulent energy density spectrum, we develop a new model for the growth of the turbulence in convective boundary layer. We apply dimensional analysis to parameterise the unknown inertial transport and convective source term in the dynamic equation for the three-dimensional spectrum. The non-linear integro-differential equation is solved by Adomian decomposition method. Using the micrometeorological parameters generated by large eddy simulation, for the first time, we employ the vertical component of the energy spectrum to calculate the eddy diffusivity (required in dispersion models). This new eddy diffusivity is used in the GILTT approach to simulate ground-level concentrations considering experimental data of Angra I Nuclear Power Plant.

Keywords: analytical solutions; Adomian method; radioactive pollution; environmental pollution; pollutant dispersion; LES; large eddy simulation; GILTT; generalised integral Laplace transform technique; advection-diffusion equation; ABL; atmospheric boundary layer; nuclear power plants; NPP; nuclear energy; eddy diffusivity; turbulence modelling; simulation.

DOI: 10.1504/IJNEST.2011.041650

International Journal of Nuclear Energy Science and Technology, 2011 Vol.6 No.2, pp.166 - 176

Published online: 14 Feb 2015 *

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