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RADIATIVE CONDUCTIVITY OF NON BEERIAN POROUS MEDIA : APPLICATION TO DEGRADED ROD BUNDLES OF A NUCLEAR CORE

DOI: 10.1615/ICHMT.2010.RAD-6.190
10 pages

Miloud Chahlafi
Institut de Radioprotection et de Sûreté Nucléaire, Cadarache BP3, 13115 Saint-Paul-Lez-Durance Cedex, France

Fabien Bellet
CentraleSupélec

Laurent Foucher
Institut de Radioprotection et de Sûreté Nucléaire, Cadarache BP3, 13115 Saint-Paul-Lez-Durance Cedex, France

Florian Fichot
Institut de Radioprotection et de Sureté Nucléaire (IRSN), Division of Major Accidents Prevention

Jean Taine
Laboratoire d'Energetique Moleculaire et Macroscopique, Combustion, UPR 288 du CNRS et de l'ECP. Ecole Centrale Paris, 92295 Chatenay-Malabry Cedex, France

Аннотация

A 3D numerical model of a degraded experimental small-scale facility, simulating an opaque rod bundle of a nuclear reactor core has been built from γ-ray tomography images. It has been directly characterized by both extinction cumulated distribution functions Gext and scattering phase functions p. Gext strongly differs from the exponential function associated with the Beer law and p strongly depends on both the incidence and the scattering directions. By assuming a diffuse wall reflection law, we have directly determined a radiative conductivity tensor with a numerical perturbation method of the generalized radiative transfer equation, associated with the previous statistical functions and introduced by Taine et al. Only the diagonal radial and axial components of this tensor are not null. They have been fitted by a simple law, only depending on the porosity, on the specific area and on the wall absorptivity.

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