海水中牺牲阳极阴极保护的分段非线性边界数学模型
A Mathematical Model with Piecewise Nonlinear Boundary for Sacrificial Anode Cathodic Protection in Sea Water
摘 要
边界条件处理方式是否合理, 不仅影响阴极保护体系电位分布的数值解, 而且影响模型的应用范围。根据Al-Zn-In牺牲阳极与316L不锈钢在海水介质中的自腐蚀电位差, 选用适宜的电位区间及扫速, 获得材料实测极化曲线处理非线性边界, 建立了牺牲阳极阴极保护系统的非线性边界模型。由于该模型不依赖于极化动力学参数, 很大程度上简化了牺牲阳极阴极保护系统的模拟。采用有限元方法进行求解, 初步讨论了Al-Zn-In牺牲阳极放置位置、形状和放置方式对被保护316L不锈钢管表面电位分布的影响规律。数值模拟获得的规律与现有的阴极保护理论相符, 验证了该模型的可行性。
模型
极化
牺牲阳极
海水
simulation
model
polarization
sacrificial anode
sea water
Abstract
The way of handling boundary condition not only affects the numerical potential distribution of cathodic protection system, but also affects the application of the model. According to the difference of corrosion potentials of Al-Zn-In sacrificial anode and 316L stainless steel in seawater, the appropriate polarization potential range and scan rate were chosen to measure the polarization curves used for handling boundary conditions and founding a nonlinear boundary model for the sacrificial anode cathodic protection system. The current model which does not depend on the polarization dynamic parameters simplifies the simulation for sacrificial anode cathodic protection. Numerical results of the influences of Al-Zn-In sacrificial anode placement, shape and placement mode on the potential distribution of 316L stainless steel agree well with the existing theory and thus verify the feasibility of current model.
中图分类号 TG174.41
所属栏目 试验研究
基金项目
收稿日期 2011/10/26
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备注刘贵昌, 教授, 硕士生导师,
引用该论文: LIU Gui-chang,SUN Wen,WANG Li-da. A Mathematical Model with Piecewise Nonlinear Boundary for Sacrificial Anode Cathodic Protection in Sea Water[J]. Corrosion & Protection, 2012, 33(10): 876
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参考文献
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【2】De Giorgi V G, Thomas E D, Lucas K E. Scale effects and verification of modeling of ship cathodic protection systems[J]. Eng Anal Bound Elem, 1998, 22:41-49.
【3】De Giorgi V G, Wimmer S A. Geometric details and modeling accuracy requirements for shipboard impressed current cathodic protection system modeling[J]. Eng Anal Bound Elem, 2005, 29:15-28.
【4】Zamani N G. Boundary element simulation of the cathodic protection system in a prototype ship[J]. Appl Math Comput, 1988, 26:119-134.
【5】何其昀. 海洋工程防腐系统数值模拟优化设计技术研究[D]. 大连:大连理工大学硕士学位论文, 2009.
【6】Vuillemin B, Oltra R, Cottis R, et al. Consideration of the formation of solids and gases in steady state modelling of crevice corrosion propagation[J]. Electrochim Acta, 2007, 52:7570-7576.
【7】Song F M, Sridhar N. Modeling pipeline crevice corrosion under a disbonded coating with or without cathodic protection under transient and steady state conditions[J]. Corros Sci, 2008, 50:70-83.
【8】王巍. 几种金属在海水中阴极保护数值计算及瞬态激励影响研究[D]. 青岛: 中科院海洋研究所博士学位论文, 2011.
【9】Jia J X, Song G, Atrens A, et al. Evaluation of the BEASY program using linear and piecewise linear approaches for the boundary conditions[J]. Mater Corros, 2004, 55:845-852.
【10】Deshpande K B. Validated numerical modelling of galvanic corrosion for couples:magnesium alloy (AE44)-mild steel and AE44-aluminium alloy (AA6063) in brine solution[J]. Corros Sci, 2010, 52:3514-3522.
【11】翁永基. 阴极保护设计中的模型研究及其应用[J]. 腐蚀科学与防护技术, 1999, 11(2):99-111.
【12】刘磊. 船体阴极保护电位分布[D]. 大连:大连理工大学硕士学位论文, 2006.
【13】Rabiot D, Dalard F, Rameau J J, et al. Study of sacrificial anode cathodic protection of buried tanks:Numerical modelling[J]. J Appl Electrochem, 1999, 29:541-550.
【14】Montoya R, Rendon O, Genesca J. Mathematical simulation of a cathodic protection system by finite element method[J]. Mater Corros, 2005, 56:404-411.
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