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Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant

In: Integral Methods in Science and Engineering

Author

Listed:
  • G. J. Weymar

    (Federal University of Rio Grande do Sul)

  • D. Buske

    (Federal University of Pelotas)

  • M. T. Vilhena

    (Federal University of Rio Grande do Sul)

  • B. E. J. Bodmann

    (Federal University of Rio Grande do Sul)

Abstract

The work in this chapter is a contribution to a larger program, whose objective is to determine general closed form solutions and allows us to match a variety of meteorological conditions based on phenomenological approaches for turbulence. A generally accepted deterministic model makes use of Fickian closure and thus leading to an advection–diffusion model for the dispersion processes. A well established method that solves the equation in closed form is based on spectral theory and integral transform, also known as GILTT. The equation has to be complemented by a known wind profile, that is usually determined using experimental meteorological data and the micro-meteorological parameters were calculated from empirical equations established in the literature. The closed form solution is then applied to the complete set of experiments of the Angra campaign using the associated meteorological conditions. From the comparison of expectation values and measured values the solution is validated and checked for adequacy.

Suggested Citation

  • G. J. Weymar & D. Buske & M. T. Vilhena & B. E. J. Bodmann, 2013. "Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Haroldo F. de Campos Velho (ed.), Integral Methods in Science and Engineering, edition 127, chapter 0, pages 385-397, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4614-7828-7_26
    DOI: 10.1007/978-1-4614-7828-7_26
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