Acoustic Fractional Propagation in Terms of Porous Xerogel and Fractal Parameters

This article portrays solid xerogel-type materials, based on chitosan, TEGylated phenothiazine, and TEG (tri-ethylene glycol), dotted with a large number of pores, that are effectively represented in their constitutive structure. They were assumed to be fractal geometrical entities and adjudged as s...

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Bibliographic Details
Published in:Gels 2024-01, Vol.10 (1), p.83
Main Authors: Paun, Maria-Alexandra, Paun, Vladimir-Alexandru, Paun, Viorel-Puiu
Format: Article
Language:English
Subjects:
acoustic equation
Acoustic propagation
Acoustics
Bessel functions
Chitosan
Ethylene glycol
Fractal analysis
Fractal geometry
fractal parameters
Fractals
fractional propagation
Mathematical analysis
Morphology
Parameters
Partial differential equations
Physics
Porous materials
Porous media
porous xerogel
Propagation
SEM images
Xerogels
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Summary:This article portrays solid xerogel-type materials, based on chitosan, TEGylated phenothiazine, and TEG (tri-ethylene glycol), dotted with a large number of pores, that are effectively represented in their constitutive structure. They were assumed to be fractal geometrical entities and adjudged as such. The acoustic fractional propagation equation in a fractal porous media was successfully applied and solved with the help of Bessel functions. In addition, the fractal character was demonstrated by the produced fractal analysis, and it has been proven on the evaluated scanning electron microscopy (SEM) pictures of porous xerogel compounds. The fractal parameters (more precisely, the fractal dimension), the lacunarity, and the Hurst index were calculated with great accuracy.
ISSN:2310-2861
2310-2861
DOI:10.3390/gels10010083