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One Dimensional Approach to Modeling Damage Evolution of Galvanic Corrosion of a Concentric Cylindrical Geometry

Smith, Austin Gregory

Abstract Details

2013, Master of Science, University of Akron, Applied Mathematics.
A one-dimensional mathematical model is developed to describe the damage evolution caused by galvanic corrosion of concentric cylinders for Mild Steel / Magnesium and Copper / Aluminum galvanic cells. Laplace's Equation in a well mixed electrolyte solution above the concentric disks is analyzed using an asymptotic procedure based on disparity in geometric length ratios to develop a one-dimensional model equation for the potential. This equation is solved numerically, to determine the potential, current density, and corrosion caused by the galvanic cell using MATLAB. Experimental polarization curves given in the literature are used as inputs for numerical computation. It is also assumed that there is no mass transport and that the electrolyte thickness is restricted by the Wagner relationship. This model solves for initial time and time dependent solutions. The model accounts for changes in the metal radius length ratio, electrolyte solution height, and overall size of the cell. The 1D model predicts that the corrosion damage in the galvanic cell is linked to the potential drop and current density across the coupled metals.
Gerald Young, Dr. (Advisor)
Curtis Clemons, Dr. (Advisor)
Kevin Kreider, Dr. (Committee Member)

Recommended Citations

Citations

  • Smith, A. G. (2013). One Dimensional Approach to Modeling Damage Evolution of Galvanic Corrosion of a Concentric Cylindrical Geometry [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1367239188

    APA Style (7th edition)

  • Smith, Austin. One Dimensional Approach to Modeling Damage Evolution of Galvanic Corrosion of a Concentric Cylindrical Geometry . 2013. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1367239188.

    MLA Style (8th edition)

  • Smith, Austin. "One Dimensional Approach to Modeling Damage Evolution of Galvanic Corrosion of a Concentric Cylindrical Geometry ." Master's thesis, University of Akron, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=akron1367239188

    Chicago Manual of Style (17th edition)