15th European Turbulence Conference 2015
August 25-28th, 2015, Delft, The Netherlands
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AN ALTERNATIVE DEFINITION OF ORDER DEPENDENT DISSIPATION SCALES


Go-down etc15 Tracking Number 360

Presentation:
Session: Intermittency and scaling 2
Room: Room H
Session start: 15:00 Tue 25 Aug 2015

Jonas Boschung   j.boschung@itv.rwth-aachen.de
Affifliation: RWTH Aachen University
Michael Gauding   m.gauding@itv.rwth-aachen.de
Affifliation: TU Bergakademie Freiberg
Fabian Hennig   f.hennig@itv.rwth-aachen.de
Affifliation: RWTH Aachen University
Norbert Peters   n.peters@itv.rwth-aachen.de
Affifliation: RWTH Aachen University
Heinz Pitsch   h.pitsch@itv.rwth-aachen.de
Affifliation: RWTH Aachen University

Topics: - Intermittency and scaling

Abstract:

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 lengths are smaller than $\eta$ and decrease with increasing order and Reynolds-number. They are compared to a previous definition of order dependent dissipative scales by Schumacher~et.~al\cite{schumacher2007asymptotic}.