A Method for the Analysis of Isotherms, Surface Fractal Dimension and Dynamic Chaos of Moisture Exchange in Colloidal Capillary-Porous Museum Exhibits at Changeable Microclimate Conditions
Journal Title: Вентиляція, освітлення та теплогазопостачання - Year 2019, Vol 30, Issue
Abstract
On the basis of sorption-desorption isotherms in colloidal capillary-porous bodies (CCPT), their surface fractal dimension was calculated and its spatial-temporal changes were investigated. The physic-chemical and rheological properties of colloidal aqueous dispersions in these bodies are considered, based on fractal geometry and the ideas of the mechanisms of physic-chemical and physic-mechanical processes in these systems. This description is more complete than a description that uses only rheological data. It has been confirmed that quasi-solid aggregates formed in the coagulation processes during the formation of a structural quasi-lattice of CCPTs have a fractal structure whose dimension is related to the peculiarities of interparticle interaction in natural systems. In the literature, little attention has been paid to the properties of the CCPT surface in terms of the fractal geometry. The dynamics of formation of solids in these bodies is also considered. The presence of a stage of low-dimensional spatial-partial chaos in the processes was established. The idea of restoring the dynamics of growth in the structure of the CCPT is discussed. The transition from a quasiliquid state to a quasisolid phase has been shown as a process of self-organization. To study its dynamics, as well as to evaluate the dimensions of strange attractors in the analysis of data of physic-chemical and physic-mechanical experiments with CCPT there are known methods in the theory of mechanical systems: the Takens method, the algorithm for calculating the dimensionality of matter (Grasberger-Proccaccio, Skinner). The last one refers to known methods of simulation modeling in the inverse problem of the theory of dynamical systems.
Authors and Affiliations
Yu. Chovniuk, V. Dovhaliuk
Keywords
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