Mathematics and Statistics Vol. 10(5), pp. 925 - 935
DOI: 10.13189/ms.2022.100504
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Stochastic-Fractal Analysis Modeling of Salts Precipitation from Aqueous Solution

Isela J. Reyna-Rosas ¹, Josué F. Pérez-Sánchez ², Edgardo Suárez-Domínguez ^2,*, Alejandra Hernández-Alvarado ¹, Susana Gonzalez-Santana ³, F. Izquierdo-Kulich ^3
1 Facultad de Arquitectura, Diseño y Urbanismo, Universidad autónoma de Tamaulipas, Circuito Interior S/N, Tampico, Tamaulipas, CP 89000, Mexico
² FADU Research Centre, Centro Universitario Sur, UAT. Circuito Interior S/N. Tampico, Tamaulipas, CP 89506, Mexico
³ Universidad de la Habana, Calle Zapata s/n, entre G y Carlitos Aguirre, Vedado, CP 10400, Cuba

ABSTRACT

Electrolytes are of interest because thin plate coatings are normally obtained from aqueous solutions. The properties of the surface are important because various properties such as resistance or durability depend on it. To understand the phenomenological processes, it is better to analyze simpler processes such as sodium chloride. In this paper, a model is proposed to predict the temporal behavior of the fractal dimension of the patterns formed in salts precipitation by solvent evaporation in a scattering surface; for fractal-box counting, ImageJ software was used. The model was obtained by applying stochastic methods and fractal geometry, describing the internal fluctuations caused by precipitation and dissolution on the mesoscopic scale of solid crystalline particles. From adjusting the proposed model to the experimental data, it is possible to estimate the velocity constants related to the microscopic precipitation processes of the particles that form the pattern. The model was validated and used to study the precipitation of carbonate salts and sodium chloride, respectively, obtaining predictions corresponding to the physicochemical properties of these salts. From the adjustment of the proposed models to the observed experimental data, the value of the velocity constants of the precipitation and dissolution processes was also estimated.

KEYWORDS
Ionic Interactions Model, Fractal Dimension Application, Stochastic Precipitation-Diffusion Processes

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Isela J. Reyna-Rosas , Josué F. Pérez-Sánchez , Edgardo Suárez-Domínguez , Alejandra Hernández-Alvarado , Susana Gonzalez-Santana , F. Izquierdo-Kulich , "Stochastic-Fractal Analysis Modeling of Salts Precipitation from Aqueous Solution," Mathematics and Statistics, Vol. 10, No. 5, pp. 925 - 935, 2022. DOI: 10.13189/ms.2022.100504.

(b). APA Format:
Isela J. Reyna-Rosas , Josué F. Pérez-Sánchez , Edgardo Suárez-Domínguez , Alejandra Hernández-Alvarado , Susana Gonzalez-Santana , F. Izquierdo-Kulich (2022). Stochastic-Fractal Analysis Modeling of Salts Precipitation from Aqueous Solution. Mathematics and Statistics, 10(5), 925 - 935. DOI: 10.13189/ms.2022.100504.