Multiscale sulfate attack on sewer pipes : numerical study of a fast micro-macro mass transfer limit

V. Chalupecky, T. Fatima, A. Muntean

Research output: Book/ReportReportAcademic

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Abstract

We present two multiscale reaction-diffusion (RD) systems modeling sulfate attack in concrete structures (here: sewer pipes). The systems are posed on two different spatially separated scales. The only difference between them is the choice of the micro-macro transmission condition. We explore numerically the way the macroscopic Biot number Bi^M connects the two reaction-diffusion scenarios. We indicate connections between the solution of the "regularized" system (with moderate size of Bi^M) and the solution to the "matched" system (with blowing up size of Bi^M), where Henry's law plays the role of the micro-macro transmission condition. Keywords: Multiscale RD system, micro-macro transmission conditions, sulfate corrosion, acid attack, modeling of concrete, method of lines, finite difference scheme, convergence rates.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages11
Publication statusPublished - 2010

Publication series

NameCASA-report
Volume1040
ISSN (Print)0926-4507

Fingerprint

Sewers
Macros
Mass transfer
Pipe
Blow molding
Concrete construction
Computer systems
Concretes
Corrosion
Acids
Sulfates

Cite this

Chalupecky, V., Fatima, T., & Muntean, A. (2010). Multiscale sulfate attack on sewer pipes : numerical study of a fast micro-macro mass transfer limit. (CASA-report; Vol. 1040). Eindhoven: Technische Universiteit Eindhoven.
Chalupecky, V. ; Fatima, T. ; Muntean, A. / Multiscale sulfate attack on sewer pipes : numerical study of a fast micro-macro mass transfer limit. Eindhoven : Technische Universiteit Eindhoven, 2010. 11 p. (CASA-report).
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Chalupecky, V, Fatima, T & Muntean, A 2010, Multiscale sulfate attack on sewer pipes : numerical study of a fast micro-macro mass transfer limit. CASA-report, vol. 1040, Technische Universiteit Eindhoven, Eindhoven.

Multiscale sulfate attack on sewer pipes : numerical study of a fast micro-macro mass transfer limit. / Chalupecky, V.; Fatima, T.; Muntean, A.

Eindhoven : Technische Universiteit Eindhoven, 2010. 11 p. (CASA-report; Vol. 1040).

Research output: Book/ReportReportAcademic

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AB - We present two multiscale reaction-diffusion (RD) systems modeling sulfate attack in concrete structures (here: sewer pipes). The systems are posed on two different spatially separated scales. The only difference between them is the choice of the micro-macro transmission condition. We explore numerically the way the macroscopic Biot number Bi^M connects the two reaction-diffusion scenarios. We indicate connections between the solution of the "regularized" system (with moderate size of Bi^M) and the solution to the "matched" system (with blowing up size of Bi^M), where Henry's law plays the role of the micro-macro transmission condition. Keywords: Multiscale RD system, micro-macro transmission conditions, sulfate corrosion, acid attack, modeling of concrete, method of lines, finite difference scheme, convergence rates.

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Chalupecky V, Fatima T, Muntean A. Multiscale sulfate attack on sewer pipes : numerical study of a fast micro-macro mass transfer limit. Eindhoven: Technische Universiteit Eindhoven, 2010. 11 p. (CASA-report).