Fractal geometry applications in turbulent combustion data analysis

Application of fractal geometry concepts is made to some premixed turbulent combustion data and the geometry is found to yield some new visual concepts in analysis of the data. Moreover, techniques through fractal interpolation are shown to aid in reconstruction of decimated data or in a reasonable construction of missing data in a low data rate acquisition situation. Application is made to hot film anemometry data in an approach cold flow and Rayleigh scattering density data in a premixed flame. The fractal character of the time series data is shown and a new visual concept of the multifractal probability density function is introduced. The different fractal character of the two data types is clearly shown. The interated function sequence technique for data reconstruction is introduced and some constraints of probability theory are removed by alternate fractal concepts.