Structural Version of Ostwald—de Waele Equation: Fractal Treatment

Abstract

Structural treatment of Ostwald—de Waele equation is proposed. It involves the representations of fractal analysis for describing the rheological properties of the rubber/disperse filler system. It is shown that the magnitude of viscosity and the type of system flow are determined by the filler particle structure (aggregates) characterized by their fractal dimension. In turn, this dimension is determined by the mechanism of aggregate formation. The model proposed makes it possible to predict the viscosity of the rubber/disperse filler systems for different filler contents and shear rates.