Record link: 
http://hdl.handle.net/20.500.12708/190558
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Title: 
A model for lime consolidation of porous solids
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Citation: 
Detmann, B., Gavioli, C., Krejci, P., Lamač, J., & Namlyeyeva, Y. (2023). A model for lime consolidation of porous solids. In 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics Book of Abstracts (pp. 430–430). http://hdl.handle.net/20.500.12708/190558
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Publication Type: 
Inproceedings - Abstract Book Contribution
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Language: 
English
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Authors: 
Detmann, Bettina 
Gavioli, Chiara 
Krejci, Pavel 
Lamač, Jan 
Namlyeyeva, Yuliya 
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Organisational Unit: 
E101-01-3 - Forschungsgruppe Mehrskalen Variationsrechnung 
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Published in: 
93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics Book of Abstracts 
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Date (published): 
1-Jun-2023
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Event name: 
93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics 2023 
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Event date: 
30-May-2023 - 2-Jun-2023
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Event place: 
Dresden, Germany
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Number of Pages: 
1
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Keywords: 
Porous media; Reaction-diffusion; Consolidation
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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.
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Research Areas: 
Modeling and Simulation: 100%
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Science Branch: 
1010 - Mathematik: 100%
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Appears in Collections:
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