### Abstract

Original language | English |
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Title of host publication | Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011) |

Place of Publication | Fukuoka |

Publisher | Institute of Mathematics for Industry, Kyushu University |

Pages | 22-31 |

Publication status | Published - 2012 |

### Publication series

Name | COE Lecture Note Series |
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Volume | 39 |

ISSN (Print) | 1881-4042 |

### Fingerprint

### Cite this

*Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011)*(pp. 22-31). (COE Lecture Note Series; Vol. 39). Fukuoka: Institute of Mathematics for Industry, Kyushu University.

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*Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011).*COE Lecture Note Series, vol. 39, Institute of Mathematics for Industry, Kyushu University, Fukuoka, pp. 22-31.

**Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model.** / Chalupecky, V.; Fatima, T.; Muntean, A.; Kruschwitz, J.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model

AU - Chalupecky, V.

AU - Fatima, T.

AU - Muntean, A.

AU - Kruschwitz, J.

PY - 2012

Y1 - 2012

N2 - We consider a two-scale reaction diffusion system able to capture the corrosion of concrete with sulfates. Our aim here is to define and compute two macroscopic corrosion indicators: typical pH drop and gypsum profiles. Mathematically, the system is coupled, endowed with micro-macro transmission conditions, and posed on two different spatiallyseparated scales: one microscopic (pore scale) and one macroscopic (sewer pipe scale). We use a logarithmic expression to compute values of pH from the volume averaged concentration of sulfuric acid which is obtained by resolving numerically the two-scale system (microscopic equations with direct feedback with the macroscopic diffusion of one of the reactants). Furthermore, we also evaluate the content of the main sulfatation reaction (corrosion) product - the gypsum - and point out numerically a persistent kink in gypsum's concentration profile. Finally, we illustrate numerically the position of the free boundary separating corroded from not-yet-corroded regions.

AB - We consider a two-scale reaction diffusion system able to capture the corrosion of concrete with sulfates. Our aim here is to define and compute two macroscopic corrosion indicators: typical pH drop and gypsum profiles. Mathematically, the system is coupled, endowed with micro-macro transmission conditions, and posed on two different spatiallyseparated scales: one microscopic (pore scale) and one macroscopic (sewer pipe scale). We use a logarithmic expression to compute values of pH from the volume averaged concentration of sulfuric acid which is obtained by resolving numerically the two-scale system (microscopic equations with direct feedback with the macroscopic diffusion of one of the reactants). Furthermore, we also evaluate the content of the main sulfatation reaction (corrosion) product - the gypsum - and point out numerically a persistent kink in gypsum's concentration profile. Finally, we illustrate numerically the position of the free boundary separating corroded from not-yet-corroded regions.

M3 - Conference contribution

T3 - COE Lecture Note Series

SP - 22

EP - 31

BT - Multiscale Mathematics: Hierarchy of collective phenomena and interrelations between hierarchical structures (Fukuoka, Japan, December 8-11, 2011)

PB - Institute of Mathematics for Industry, Kyushu University

CY - Fukuoka

ER -