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The solution of a convection–diffusion–reaction equation arising from cathodic reduction in a pulsating crack
Authors:M. D. Warren
Abstract:This paper derives the convection–diffusion-reaction equation governing the reaction between the dissolved oxygen in sea-water and the steel walls of a pulsating crack. By the neglect of the diffusion term it is shown that an exact solution of the convection-reaction equation can be obtained. A numerical method for the solution of the complete convection–diffusion-reaction equation is derived by the use of finite differences. The numerical computation of the initial transient and the final periodic steady-state values is also discussed.
Keywords:Cathodic Reduction  Convection–  Diffusion–  Reaction  Characteristics  Finite Differences
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