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Volumen II - SAM

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Congreso <strong>SAM</strong>/CONAMET 2009 Buenos Aires, 19 al 23 de Octubre de 2009<br />

CALCULATION OF OXYGEN DIFFUSION PROFILES IN ZIRCONIUM BASE ALLOYS<br />

CLADDING TUBES AT HIGH TEMPERATURE: coupling of the diffusion code “EKINOX”<br />

and the thermodynamic database “ZIRCOBASE”<br />

C. Corvalán-Moya (1) , C. Desgranges (1) , C. Toffolon-Masclet (1) , C. Servant (2) , J.C. Brachet (1)<br />

(1)CEA, Nuclear Materials Department, 91191 Gif-sur-Yvette Cedex, France<br />

(2) Université de Paris-Sud, Laboratoire de Physico-Chimie de l'Etat Solide, ICMMO, 91405 Orsay, France<br />

E-mail : carolina.corvalan-moya@cea.fr<br />

ABSTRACT<br />

Thermodynamic and kinetic data are generally essential for quantitative modelling of materials processing,<br />

structure, and property. In this frame a new tool has been developed by coupling the diffusion code<br />

"EKINOX" and the thermodynamic database "ZIRCOBASE" using TQ (ThermoCalc® program<br />

interface).Particularly, in order to predict the behaviour of cladding tubes under conditions of "Loss Of<br />

Coolant Accident (LOCA)", a tool able to simulate the oxygen diffusion at different times and high<br />

temperatures is relevant. Simulations of oxygen diffusion profiles at 1100°C, 1200°C, and 1250°C are<br />

presented.<br />

Palabras clave: Zy-4, cladding tubes, diffusion, modelling, LOCA.<br />

1. INTRODUCTION<br />

During some hypothetical Pressurized Water Reactor (PWR) accidental scenario such as Loss Of Coolant<br />

Accident (LOCA), the nuclear fuel cladding tubes made of Zr base alloys are subjected to high temperature<br />

oxidation (~1200°C) due to the steam environment. This leads to the growth of a zirconia layer (ZrO2), but<br />

also to the growth of αZr(O) from the parent (ductile) βZr phase due to the oxygen diffusion within the suboxide<br />

metallic layer (see Fig. 1). The zirconia and the αZr(O) phase layers are brittle at low temperatures, then, the<br />

residual ductility of the high temperature oxidised cladding tubes depends mainly on the concentration of the<br />

dissolved oxygen in the prior or ex-βZr phase inner layer. Thus, the oxygen concentration has a key-role for<br />

predicting the amount of ductile phase remaining in the cladding tube after a LOCA scenario. To anticipate<br />

the oxygen concentration in the prior-βZr phase with a better quantification of the diffusion phenomena, a<br />

new tool using thermodynamic and kinetic data is then necessary. The EKINOX numerical model has been<br />

developed in order to treat this issue. The first simulation results are presented and compared to an analytical<br />

model and to previous experimental results.<br />

ZrO<br />

Oxygen concentration (wt.%)<br />

α(O<br />

0,7<br />

0,6<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

~Brittle failure mode Ductile failure mode<br />

100 200 300 400 500 600<br />

Distance from the outer clad surface (µm)<br />

Prior-β layer<br />

a) b)<br />

Fig. 1 a) Typical prior-β fractograph of an impact tested Zircaloy-4 sample at 20°C and associated oxygen<br />

diffusion profile after one size steam oxidation for 120s at 1250°C and quenching (from [1]). b) Zr-O phase<br />

diagram illustrating the phase transformations occurring with an increase of oxygen content at 1250°C.<br />

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