Defining a new class of turbulent flows.
We apply a method based on the theory of Markov processes to fractal-generated turbulence and obtain joint probabilities of velocity increments at several scales. From experimental data we extract a Fokker-Planck equation which describes the interscale dynamics of the turbulence. In stark contrast to all documented boundary-free turbulent flows, the multiscale statistics of velocity increments, the coefficients of the Fokker-Planck equation, and dissipation-range intermittency are all independent of Rλ (the characteristic ratio of inertial to viscous forces in the fluid). These properties define a qualitatively new class of turbulence.
Stresing
R
R
Institute of Physics, University of Oldenburg, 26111 Oldenburg, Germany.
Peinke
J
J
Seoud
R E
RE
Vassilicos
J C
JC