Multifractal Analysis of Marks Left by Droplets of Dispersed Diesel Fuels with Various Chemical Compositions

Abstract

The multifractal analysis of the photos of droplet marks left by droplets of dispersed diesel fuels on the surface of a glass plate covered with a soot layer is performed. The dependences of the parameters for the multifractal spectra of mark areas on the component ratio in a mixture of diesel fuel and biofuels are found. The correspondence of the multifractal characteristics to their canonical forms is demonstrated. The developed numerical method can be used for the quantitative evaluation and analysis of the parameters characterizing the spatial fractal forms generated in air-fuel aerosols. Quantitative relationships between the parameters of multifractal spectra and the chemical composition of dispersed fuels are revealed. K e y w o r d s: aerosol systems, air-fuel droplet mixtures, fractal states, dispersed liquid phase, multifractal analysis.

Influence of the Thermodynamic Properties of a Sprayed Liquid on the Droplet-Air Mixture Parameters in the Framework of the Maximum Entropy Model

“…From this viewpoint, the presence of sharp maxima in the droplet velocity distributions shown in Fig. 3 can be considered as a quantitative confirmation of the assumption made in work [10].…”

“…Our assumption that the droplets in a sprayed fuel move at the velocities that are only a little different from the average value was applied in work [10], when analyzing multifractal spectra registered from the impact marks left by fuel droplets on a plate covered with a black coating. In the relevant calculations [10], the shape of impact marks was considered to reproduce the shape of droplets themselves. Really, this assumption is substantiated, if the velocities of droplet motion are almost identical, and the corresponding force action of the droplets on the registering layer surface is determined only by the droplet mass only.…”