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.

Mathematical modelling of experimental data for crystallization inhibitors / Bracciale, MARIA PAOLA; Bretti, G.; Broggi, Alessandra; Ceseri, M.; Marrocchi, A.; Natalini, Roberto; Russo, C.. - In: APPLIED MATHEMATICAL MODELLING. - ISSN 0307-904X. - STAMPA. - 48:(2017), pp. 21-38. [10.1016/j.apm.2016.11.026]

### Mathematical modelling of experimental data for crystallization inhibitors

#### Abstract

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.
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2017
mathematical modelling; porous media; salt crystals; crystallization inhibitors
01 Pubblicazione su rivista::01a Articolo in rivista
Mathematical modelling of experimental data for crystallization inhibitors / Bracciale, MARIA PAOLA; Bretti, G.; Broggi, Alessandra; Ceseri, M.; Marrocchi, A.; Natalini, Roberto; Russo, C.. - In: APPLIED MATHEMATICAL MODELLING. - ISSN 0307-904X. - STAMPA. - 48:(2017), pp. 21-38. [10.1016/j.apm.2016.11.026]
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11573/954065`