WAVELET TRANSFORM OF A MULTIFRACTAL MEASURE IN A COOL FLAME EXPERIMENT

In order to characterize the chaotic variations of the cool flame temp erature observed during the oxidation of a hydrocarbon at low temperat ure and under non-homogeneous conditions, we perform multifractal anal yses of different measures. In the cool flame localization domain, the singularity spectrum obtained for the visited temperature histogram i s comparable to the spectrum deduced from a wavelet transform. In the cool flame propagation domain where the temperature histogram is too n arrow to be analyzed, the wavelet transform allows us to prove the mul tifractal character of the chaos observed. The choice of the parameter value retained to perform the wavelet transform is discussed in detai l.