{"title":"A novel kinetic model for dissolution and precipitation of oxide on stainless-steel surface in stagnant liquid sodium","authors":"Munemichi Kawaguchi , Asuka Ikeda , Jun-ichi Saito","doi":"10.1016/j.anucene.2025.111880","DOIUrl":null,"url":null,"abstract":"<div><div>This study presents sodium experiments and a novel kinetic model to elucidate the dissolution and precipitation behavior of oxides on the stainless-steel (SS) surface in stagnant liquid sodium. Experiment results demonstrated that the oxygen from Na<sub>4</sub>FeO<sub>3</sub> on the SS surface dissolved into the liquid sodium at a rate of <span><math><mrow><msub><mi>v</mi><mrow><mi>d</mi><mi>i</mi><mi>s</mi></mrow></msub><mo>≈</mo><mn>9.3</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>-</mo><mn>5</mn></mrow></msup></mrow></math></span> wt.ratio/h within 20 h. Subsequently, oxide precipitation occurred on the SS surface at a rate of <span><math><mrow><msub><mi>v</mi><mrow><mi>p</mi><mi>r</mi><mi>e</mi></mrow></msub><mo>≈</mo><mn>1.4</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>-</mo><mn>5</mn></mrow></msup></mrow></math></span> wt.ratio/h. To further investigate the precipitation dynamics, a phase-field (PF) simulation code was developed, enabling sensitivity analyses of six parameters: temperature (<span><math><mi>T</mi></math></span>), initial oxygen concentration (<span><math><msub><mi>c</mi><mn>0</mn></msub></math></span>), interfacial energy (<span><math><mi>γ</mi></math></span>), oxygen diffusion coefficient (<span><math><msub><mi>D</mi><mi>L</mi></msub></math></span>), quasi-partition coefficient (<span><math><mi>k</mi></math></span>), and time step (<span><math><mrow><mi>Δ</mi><mi>t</mi></mrow></math></span>). The PF simulations revealed that the precipitation rate increases linearly with <span><math><msub><mi>c</mi><mn>0</mn></msub></math></span> and <span><math><msub><mi>D</mi><mi>L</mi></msub></math></span>. In contrast, it decreases exponentially with increasing <span><math><mi>T</mi></math></span> and <span><math><mi>γ</mi></math></span>. The parameters <span><math><mi>k</mi></math></span> and <span><math><mrow><mi>Δ</mi><mi>t</mi></mrow></math></span> exhibited negligible influence on the calculation results. Notably, the oxide precipitation rates obtained by the PF calculation show consistency with the laboratory-scale experimental findings reported by LatgÉ et al, supporting the model’s validity.</div></div>","PeriodicalId":8006,"journal":{"name":"Annals of Nuclear Energy","volume":"226 ","pages":"Article 111880"},"PeriodicalIF":2.3000,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Nuclear Energy","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0306454925006978","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"NUCLEAR SCIENCE & TECHNOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
This study presents sodium experiments and a novel kinetic model to elucidate the dissolution and precipitation behavior of oxides on the stainless-steel (SS) surface in stagnant liquid sodium. Experiment results demonstrated that the oxygen from Na4FeO3 on the SS surface dissolved into the liquid sodium at a rate of wt.ratio/h within 20 h. Subsequently, oxide precipitation occurred on the SS surface at a rate of wt.ratio/h. To further investigate the precipitation dynamics, a phase-field (PF) simulation code was developed, enabling sensitivity analyses of six parameters: temperature (), initial oxygen concentration (), interfacial energy (), oxygen diffusion coefficient (), quasi-partition coefficient (), and time step (). The PF simulations revealed that the precipitation rate increases linearly with and . In contrast, it decreases exponentially with increasing and . The parameters and exhibited negligible influence on the calculation results. Notably, the oxide precipitation rates obtained by the PF calculation show consistency with the laboratory-scale experimental findings reported by LatgÉ et al, supporting the model’s validity.
期刊介绍:
Annals of Nuclear Energy provides an international medium for the communication of original research, ideas and developments in all areas of the field of nuclear energy science and technology. Its scope embraces nuclear fuel reserves, fuel cycles and cost, materials, processing, system and component technology (fission only), design and optimization, direct conversion of nuclear energy sources, environmental control, reactor physics, heat transfer and fluid dynamics, structural analysis, fuel management, future developments, nuclear fuel and safety, nuclear aerosol, neutron physics, computer technology (both software and hardware), risk assessment, radioactive waste disposal and reactor thermal hydraulics. Papers submitted to Annals need to demonstrate a clear link to nuclear power generation/nuclear engineering. Papers which deal with pure nuclear physics, pure health physics, imaging, or attenuation and shielding properties of concretes and various geological materials are not within the scope of the journal. Also, papers that deal with policy or economics are not within the scope of the journal.