Mathematical modelling of experimental data for crystallization inhibitors

• A new mathematical model describing the effect of phosphocitrate (PC)on sodium sulphate crystallization inside bricks.• The model takes into account mathematically the effects of inhibitors of crystallization.• We compare the numerical results given by the model with the available experimental dat...

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Bibliographic Details
Published in:Applied Mathematical Modelling 2017-08, Vol.48, p.21-38
Main Authors: Bracciale, M.P., Bretti, G., Broggi, A., Ceseri, M., Marrocchi, A., Natalini, R., Russo, C.
Format: Article
Language:English
Subjects:
Bricks
Crystallization
Crystallization inhibitors
Density
Inhibitors
Mathematical modelling
Mathematical models
Nucleation
Porous media
Salt
Salt crystals
Sodium sulfate
Specific volume
Studies
Water flow
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Summary:• A new mathematical model describing the effect of phosphocitrate (PC)on sodium sulphate crystallization inside bricks.• The model takes into account mathematically the effects of inhibitors of crystallization.• We compare the numerical results given by the model with the available experimental data. In this paper, we propose a new mathematical model describing the effect of phosphocitrate (PC) on sodium sulphate crystallization inside bricks. This model describes salt and water transport, and crystal formation in a one dimensional symmetry. This is a preliminary study that takes into account mathematically the effects of inhibitors inside a porous stone. To this aim, we introduce two model parameters: the crystallization rate coefficient, which depends on the nucleation rate, and the specific volume of precipitated salt. These two parameters are determined by numerical fitting of our model for both the case of the brick treated with PC and non treated one.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2016.11.026