<div class="csl-bib-body">
<div class="csl-entry">Detmann, B., Gavioli, C., Krejci, P., Lamač, J., & Namlyeyeva, Y. (2023). A model for lime consolidation of porous solids. In <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics Book of Abstracts</i> (pp. 430–430). http://hdl.handle.net/20.500.12708/190558</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/190558
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dc.description.abstract
We present the first mathematical 3D model describing the process of filling the pores of a building material with a water-lime-mixture, with the goal to improve the consistency of the porous solid. Chemical reactions produce calcium carbonate which glues the solid parti cles together at some distance from the boundary and strengthens the whole structure. The model consists of a reaction-diffusion system with a nonlinear non-smooth boundary condition, coupled with the mass balance equations for the chemical reaction. The main result consists in proving that the system has a solution for each initial data from a physically relevant class. A 1D numerical test shows a qualitative agreement with experimental observations.
en
dc.language.iso
en
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dc.subject
Porous media
en
dc.subject
Reaction-diffusion
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dc.subject
Consolidation
en
dc.title
A model for lime consolidation of porous solids
en
dc.type
Inproceedings
en
dc.type
Konferenzbeitrag
de
dc.contributor.affiliation
University of Duisburg-Essen, Germany
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dc.contributor.affiliation
Czech Technical University in Prague, Czechia
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dc.contributor.affiliation
Czech Technical University in Prague, Czechia
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dc.contributor.affiliation
Czech Technical University in Prague, Czechia
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dc.description.startpage
430
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dc.description.endpage
430
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dc.type.category
Abstract Book Contribution
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tuw.booktitle
93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics Book of Abstracts