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
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.