A mathematical model of ionic transport in a porous diaphragm of a chrome-alum cell

Roberto Vidal; Paul Duby; Alan C. West

doi:10.1007/bf02663384

A mathematical model of ionic transport in a porous diaphragm of a chrome-alum cell

Metallurgical and Materials Transactions B ◽

10.1007/bf02663384 ◽

1994 ◽

Vol 25 (3) ◽

pp. 351-358

Author(s):

Roberto Vidal ◽

Paul Duby ◽

Alan C. West

Keyword(s):

Mathematical Model ◽

Ionic Transport ◽

Porous Diaphragm

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Parallel Finite Element Model for Multispecies Transport in Nonsaturated Concrete Structures

Materials ◽

10.3390/ma12172764 ◽

2019 ◽

Vol 12 (17) ◽

pp. 2764 ◽

Cited By ~ 1

Author(s):

Okpin Na ◽

Yunping Xi

Keyword(s):

Mathematical Model ◽

Finite Element ◽

Model Prediction ◽

Concrete Structures ◽

Ionic Transport ◽

Ionic Species ◽

Chloride Ions ◽

Moisture Movement ◽

Parallel Finite Element ◽

Saturated Concrete

The chloride-induced corrosion of steel reinforcement embedded in concrete is undoubtedly one of the most important durability problems of reinforced concrete structures. The chloride ions as well as other ionic species (Na+, Ca2+, K+, OH−) come from various deicing salts and they are transported from the environment into concrete. To investigate the transport mechanism of the multispecies, complex scientific methods and accurate mathematical models are needed. The purpose of this study is to develop a more robust mathematical model and better computational technique to characterize the coupled effect of ionic transport mechanisms as well as the influence of interaction of ionic species. The new mathematical model was developed based on the Nernst–Planck equation and null current condition to solve the ionic-induced electrostatic potential, and the model was implemented by a parallel finite element algorithm. The verification of mathematical model was done by comparing the model prediction with experimental results for ionic transport in saturated concrete. The comparisons showed good results. The model prediction of the multispecies transport in partially saturated concrete demonstrated that the ionic species dissolved in pore solution could be carried by the moisture movement and pressure gradient. Therefore, the multispecies transport model based on the parallel finite element method is effective, accurate, and can be used for solving the partial differential equations for ionic species transport in concrete.

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