Entropy Method for Analyzing Heterogeneity Degree in Diffusion Process (Basic Concept and Application Results for Microscopic Structure in Sprays)

Investigation on diffusion process is required in variety of fields such as chemical reaction, combustion, and environmental studies. However, there is no appropriate index for analyzing degree of homogeneity and scales of the clouds in diffusion field. This paper presents comprehensive work of the author on Entropic Method for determining the homogeneity degree and the scale of the heterogeneous clouds: in this paper large scale cluster of fluids, for example fuel vapor (or air), is termed “cloud”. A method for determining a mean effective diffusion-coefficient from the pictures is also discussed. The entropy analysis is based on the concept of statistical entropy, whose value increases with the progress of diffusion process. The paper explains the methodology and shows some examples revealed by the analysis.