Theoretical modelling of the electrochemistry in a corrosion fatique crack - numerical solution of time-dependent mass conservation equations involving advection, diffusion and ion-migration
A mathematical model has been developed to describe the solution composition and electrode potential in a corrosion fatigue crack in a steel cathodically protected in 3.5% NaCl. The model consists of continuity and transport equations for four chemical species within the crack together with an electroneutrality equation. Mass transport by advection (induced by the cyclic displacement of the crack walls), diffusion and ion-migration are considered. The electrochemical reaction is reduction of water on the walls and tip of the crack. The mathematical equations constitute a system of nonlinear parabolic partial-differential equations. A numerical method is developed for their solution and is described in detail. The numerical technique is designed so that additional reactions can be introduced into the model should this be desired at a later stage of development. An example of the applications of the model is described. (Copyright (c) Crown copyright 1982.)
- Research Organization:
- National Physical Lab., Teddington (UK). Div. of Material Applications
- OSTI ID:
- 5906044
- Report Number(s):
- PB-83-211045; NPL-DMA(A)-44
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
STEELS
CORROSION FATIGUE
CATHODIC PROTECTION
CRACKS
DIFFERENTIAL EQUATIONS
DIFFUSION
ELECTROCHEMISTRY
IONS
MASS TRANSFER
MATHEMATICAL MODELS
MIGRATION
ALLOYS
CHARGED PARTICLES
CHEMISTRY
CORROSION PROTECTION
EQUATIONS
FATIGUE
IRON ALLOYS
IRON BASE ALLOYS
MECHANICAL PROPERTIES
360105* - Metals & Alloys- Corrosion & Erosion