0000000000222301
AUTHOR
Zbigniew Garncarek
A new method in investigations of bubble cluster shapes in two-phase flow
Abstract In this paper a new probabilistic method is used to analyse the distribution of air bubbles in two-phase flow. So far, the method has been applied in astronomy and cosmology to investigate the distribution of galaxies. The basic idea is presented and the method applied to the photographed population of air bubbles in a liquid. The method allows the homogeneity of the flow to be evaluated qualitatively and quantitatively.
Effective conductivity in association with model structure and spatial inhomogeneity of polymer/carbon black composites
The relationship between effective conductivity and cell structure of polyethylene/carbon composites as well as between effective conductivity and spatial distribution of carbon black are discussed. Following Yoshida's model both structures can, in a way, be said to be intermediate between the well known Maxwell-Garnett (MG) and Bruggeman (BR) limiting structures. Using TEM photographs on composites with various carbon blacks we have observed that the larger is Garncarek's inhomogeneity measure H of two-dimensional (2D) representative distribution of the carbon black, the smaller is the effective conductivity of the composite.
Spatial dispersion intensity measure of phase concentration distributions and its applications to quantitative characterization, distinguishing and classification of bubble structures
A method of evaluation of spatial dispersion of structures is presented. A quantitative parameter measuring spatial dispersion is introduced. It is shown that this parameter indeed measures spatial dispersion. A classification of bubble flow structures based on values of this parameter is proposed. An example of application of the method to real flow structures is presented.
What is a physical measure of spatial inhomogeneity comparable to the mathematical approach?
A linear transformation f(S) of configurational entropy with length scale dependent coefficients as a measure of spatial inhomogeneity is considered. When a final pattern is formed with periodically repeated initial arrangement of point objects the value of the measure is conserved. This property allows for computation of the measure at every length scale. Its remarkable sensitivity to the deviation (per cell) from a possible maximally uniform object distribution for the length scale considered is comparable to behaviour of strictly mathematical measure h introduced by Garncarek et al. in [2]. Computer generated object distributions reveal a correlation between the two measures at a given l…
An assessment of the state of grain mixture with the use of the method of statistical reduction
Abstract A new way of assessment of the state of a granular mixture is presented in this paper. It is based on the method of statistical reduction and it enables a more precise assessment to be made of the state of a grain mixture as compared with other methods, especially when the mixture represents a large population. The new method is illustrated by a computational example.
A quantitative assessment of the effect of distributor type on particle circulation
Abstract Garncarek's quantitative index of inhomogeneity has been used to compare the effect of distributor type on the degree of uniformity of solids mixing in a gas-fluidized bed assessed by following a tracer particle using the technique of Positron Emission Particle Tracking. The bed was a sand of 475 μm diameter fluidized at 2 U mf and contained within a column of 150 mm diameter. A porous and perforated plate distributor are compared. The index shows that tracer locations are generally more homogeneously distributed throughout the vertical section of the bed with the porous plate distributor. Behaviour varies with height and horizontal sections of the bed show that there is little dif…
Three-circle method in the investigations of shapes of gas bubble clusters in two-phase flow
We present an attempt of formulating a quantitative criterion for division into homogeneous and heterogeneous flow patterns basing on the probabilistic analysis of gas bubble distribution in the liquid