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Constriction Percolation Model for Coupled Diffusion-Reaction Corrosion of Zirconium in PWR

Aryanfar, Asghar and Goddard, William, III and Marian, Jaime (2019) Constriction Percolation Model for Coupled Diffusion-Reaction Corrosion of Zirconium in PWR. Corrosion Science, 158 . Art. No. 108058. ISSN 0010-938X. doi:10.1016/j.corsci.2019.06.013.

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We develop a new constriction-based percolation paradigm, using cellular automata to predict the transport of oxygen through a stochastically-cracked Zr oxide layer within a real-time coupled diffusion-reaction framework We simulate such branching trees by generating a series of porosity-controlled media. Furthermore, we develop an analytical criterion based on compressive yielding for bridging the transition state in corrosion regime, where the percolation threshold has been achieved. Consequently, our model predicts the arrival rate of oxygen ions at the oxide interface during the so-called post-transition regime, where the bulk diffusion is no longer the rate-limiting factor.

Item Type:Article
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URLURL TypeDescription Paper
Aryanfar, Asghar0000-0002-8890-077X
Goddard, William, III0000-0003-0097-5716
Additional Information:© 2019 Elsevier Ltd. Received 10 April 2019, Revised 11 June 2019, Accepted 17 June 2019, Available online 21 June 2019. This research was supported by the Consortium for Advanced Simulation of LightWater Reactors (CASL), an Energy Innovation Hub for Modeling and Simulation of Nuclear Reactors under U.S. Department of Energy Contract No. DE-AC05-00OR22725. The authors also acknowledge providing the sample experimental image from Dr. Joe Rachid at Pacific Northwest National Lab (PNNL).
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Department of Energy (DOE)DE-AC05-00OR22725
Subject Keywords:percolation, corrosion cracking, zirconium oxidation
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Record Number:CaltechAUTHORS:20190520-092157682
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Official Citation:Asghar Aryanfar, William Goddard III, Jaime Marian, Constriction percolation model for coupled diffusion-reaction corrosion of zirconium in PWR, Corrosion Science, Volume 158, 2019, 108058, ISSN 0010-938X, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95592
Deposited By: Tony Diaz
Deposited On:20 May 2019 16:28
Last Modified:16 Nov 2021 17:13

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