腐蚀缝隙内电化学行为的初步理论探讨——1.腐蚀缝隙内电化学行为的数学模型

中国腐蚀与防护学报

1986, Vol. 6

Issue (3): 11-19

研究报告

本期目录 | 过刊浏览

腐蚀缝隙内电化学行为的初步理论探讨——1.腐蚀缝隙内电化学行为的数学模型

黄子勋;李德林

北京航空学院;北京航空学院

A THEORETICAL APPROACH OF THE ELECTROCHEMICAL BEHAVIOR WITHIN CORROSION CREVICE Ⅰ . MATHEMATICAL MODELLING OF THE ELECTROCHEMICAL BEHAVIOR WITHIN CORROSION CREVICES

Huang Zixun Li Delin (Beijing Institute of Aeronautics and Astronautics; Beijing; China)

全文: PDF(600 KB)

摘要: 本文对腐蚀缝隙内的电化学行为进行了初步的数学解析。认为影响腐蚀缝隙内电化学行为的主要因素有:极化电场、缝隙形状、缝内表面状态、电化学反应,溶液性质和外加应力等,并将这些因素用等效电路的一系列参数来描述,即:极化电场用极化电位和电流来描述;电化学反应用等效反应电阻来描;溶液性质的差别用比电阻的变化来描述:表面状态和应力用表面等效阻抗来描述。由此得到几神情况下的微分方程及其解析解,对适合一般情况的微分方程进行了数值计算,计算值和测试结果比较一致。运用本文的数学模型,通过测试缝外电位,就可估算缝内任一点的电位。

Abstract：A mathematical analysis is proposed for the corrosion crevice in which polarization field, crevice geometry, surface condition,electrochemical kinetics, solution property and applied stress are represented by polarization potential and current, equivalent resistance, change of specific resistance and surface impedance respectively. The resulting differential equations are analysed and solved, from which mathematical models for several cases are obtained.■ These models have been evaluated by related experimental measurements with good agreement. With these models,potential at any point within the crevice can be calculated according to the potential outside the crevice.

收稿日期: 1986-06-25

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引用本文:

黄子勋;李德林. 腐蚀缝隙内电化学行为的初步理论探讨——1.腐蚀缝隙内电化学行为的数学模型[J]. 中国腐蚀与防护学报, 1986, 6(3): 11-19.
. A THEORETICAL APPROACH OF THE ELECTROCHEMICAL BEHAVIOR WITHIN CORROSION CREVICE Ⅰ . MATHEMATICAL MODELLING OF THE ELECTROCHEMICAL BEHAVIOR WITHIN CORROSION CREVICES. J Chin Soc Corr Pro, 1986, 6(3): 11-19.

链接本文:

https://www.jcscp.org/CN/ 或 https://www.jcscp.org/CN/Y1986/V6/I3/11

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[6] 郭敦仁著,《数学物理方法》,人民教育出版社,327(1978)
[7] 《数学手册》.人民教育出版社,638(1978)
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