FRACTAL STRUCTURE AND FEATURES OF ENERGY-RELEASE (COMBUSTION) PROCESSES IN HETEROGENEOUS CONDENSED SYSTEMS

Citation
Yv. Frolov et An. Pivkina, FRACTAL STRUCTURE AND FEATURES OF ENERGY-RELEASE (COMBUSTION) PROCESSES IN HETEROGENEOUS CONDENSED SYSTEMS, Combustion, explosion, and shock waves, 33(5), 1998, pp. 513-527
Citations number
27
Categorie Soggetti
Thermodynamics,"Energy & Fuels","Engineering, Chemical","Material Science",Engineering
ISSN journal
00105082
Volume
33
Issue
5
Year of publication
1998
Pages
513 - 527
Database
ISI
SICI code
0010-5082(1998)33:5<513:FSAFOE>2.0.ZU;2-A
Abstract
In this work, the theory of fractals has been used to describe the str ucture of heterogeneous condensed systems (HCS). Features of energy-re lease processes with variation of the initial structure parameters hav e been investigated. The microstructure of HCS and the dynamics of its change have been studied as functions of the proportion and propertie s of their components. It is shown that particles of the components fo rm fractal structures, which are characterized by fractional dimension s. The obtained images of the microstructure reflect the presence of t he geometric phase transition ''fractal cluster-percolation cluster.'' Regularities of reaction-front propagation are determined. It is foun d that the concentration limits of energy release and combustion are a ssociated with the evolution of fractal structures and the formation ( disruption) of a continuous reaction surface. The electrical conductiv ity of the starting compositions is measured as an indicator of the fo rmation of fractal structures of one or another configuration. Electri cal and thermal-physics properties of the samples and energy-release ( combustion) parameters are analyzed. The systems exhibit similar behav ior in. different processes. Near the critical point, the dependence o f the parameters studied on concentration has an exponential character . The exponent is close to that determined in percolation theory. A co mputational algorithm for the contact surface of the components is dev eloped and implemented. The computation results allow one to distingui sh the ''base block'' that influences the combustion rate and to deter mine the critical concentrations of the components. The study of HCS i n the context of the new direction in the geometry of disordered syste ms - the theory of fractals is promising for generalization of availab le experimental data and for predicting the parameters of energy relea se in HCS with variation in the structural parameters.