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Time/Depth Dependent Diffusion-Covection Model Of Chloride With Transportation In Concrete Structures With Chloride-Binding Isotherms, Wen-Hu Tsao, Ming-Te Liang
Time/Depth Dependent Diffusion-Covection Model Of Chloride With Transportation In Concrete Structures With Chloride-Binding Isotherms, Wen-Hu Tsao, Ming-Te Liang
Journal of Marine Science and Technology
Ion transport through a hydrated cement system often becomes a principal factor to degrade concrete in a chlorideladen environments. Based on the transport mechanism of chloride ion, an analytical solution of mathematical model for predicting chloride penetration into concrete structures was herein derived. The model consists of both the diffusion of chloride due to concentration gradient and the convection of chloride due to moisture transport. The model also depends on temperature, age, relative humidity, and chloride binding. Based on both the diffusion coefficient and the mean velocity with time/depth dependence, an analytical solution of the mathematical model developed by previous …
Diffusion In A Solid Cylinder Part I: Advancing Model, Cho-Liang Tsai, Ching-Chang Lin
Diffusion In A Solid Cylinder Part I: Advancing Model, Cho-Liang Tsai, Ching-Chang Lin
Journal of Marine Science and Technology
An advanced diffusion model is used to calculate the concentration of a substance diffused in a solid cylindrical medium. The mathematical process in this study adopts Neumann’s algorithm for applying the advancing model to revise the solution derived by Carslaw and Jaeger. The modified solution clearly indicates a diffusion front which does not exist in the original model. Calculating the diffusion depth becomes possible and is novel for a solid cylindrical medium. The major contribution of this study is the application of the advancing model to solve the diffusion problem of a cylindrical medium in cylindrical coordinate system.