An alternative definition of order dependent dissipation scales

While Kolmogorov's similarity hypothesis suggests that velocity structure functions scale with the mean dissipation $\left< \varepsilon \right>$ and the viscosity $\nu$, we find that the $2m.$ even order scales with $\left< \varepsilon^m \right>$. This implies that there are other cut-off lengths than the Kolmogorov length $\eta$. These cut-off...

Statistics of Streamline Segments in a Turbulent Channel Flow with a Wavy Wall

We investigate the statistical properties of so called streamline segments in a turbulent channel flow with one plane and one wavy wall. We give a short overview on the concept of streamline segments and recent results in description and modelling in this field. Finally, we show the length distribution and conditional moments of streamline...

Dissipative Range Scaling of Higher Order Structure Functions for Velocity and Passive Scalars

Differently to Kolmogorov's second similarity hypothesis, we find that the 2n-th order velocity and scalar structure functions scale with n-th order moment of the energy dissipation and the scalar dissipation, respectively. The origins of this scaling are analyzed by the transport equations of the fourth order velocity and scalar increment...