On the possibility to view the fluctuations of velocity and temperature during a laminar-turbulent transition as fractal time series

Abstract

The present paper discusses a novel technique - dynamic analysis of multi-fractal time series - that may become a useful tool for improving the understanding of transition from laminar to turbulent flow regimes. It is proposed to view records of velocity and temperature fluctuations as fractal time series, whose measures, such as fractal dimensions, the Jeffreys divergence measure, and the Hurst exponent, themselves vary in time. The validation tests show that the variations of the fractal measures may be used for quantifying the transition between the flow regimes.