# A Two-Dimensional Mathematical Model of Carbon Dioxide (CO2) Transport in Concrete Carbonation Proses

## Authors

• Muhammad Nur -Hidayat Universitas Hasanuddin
• Jeffry Kusuma
• Naimah Aris

## Keywords:

Concrete carbonation, Carbon dioxide, Transport phenomena, Diffusion equation, Separation of variables method

## Abstract

A new two-dimensional mathematical model was developed to describe the transport phenomena of carbon dioxide in concrete structures. By treating transport phenomena as a concrete carbonation process, a two-dimensional linear partial differential equation was derived based on the principle of mass balance and convective-dispersive Equation. It was found the analytical solution by the separation of variables method combined with some substitution approaches. The numerical results are presented to illustrate the practical application of this model.

## References

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Papadakis V G, Vayenas C G, and Fardis M N. 1991 Experimental Investigation and Mathematical Modeling of the Concrete Carbonation Problem J. Chemical Engineering Science. 46(5-6) 1333-1338

Silva A, Neves R, and Brito D J. 2014 Statistical modelling of carbonation in reinforced concrete J. Cement & Concrete Composites. 50 73-81

Zhang Q. 2016 Mathematical modeling and numerical study of carbonation in porous concrete materials J. Applied Mathematics and Computation. 281 16-27

2021-05-12

## How to Cite

-Hidayat, M. N. ., Kusuma, J., & Aris, N. (2021). A Two-Dimensional Mathematical Model of Carbon Dioxide (CO2) Transport in Concrete Carbonation Proses. Jurnal Matematika, Statistika Dan Komputasi, 17(3), 405-417. https://doi.org/10.20956/j.v17i3.12227

## Section

Research Articles

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