G Huber and P Alstrom 1991 J. Phys. A: Math. Gen. 24 L1105 doi:10.1088/0305-4470/24/18/007
G Huber and P Alstrom
Show affiliationsThe authors suggest a scenario for turbulence where the fractal dimension D increases with Reynolds number: D=2 at the onset of turbulence, and D to 3 at large Reynolds number. The picture is based on a new random-cascade model where the length scales of active eddies are randomly chosen from a probability distribution P(r) of length-scale ratios. Exact expressions for the exponents associated with the velocity field are derived for the distributions P(r)=( gamma +1)rgamma . Their picture provides a quantitative explanation for recent measurements of pipe and grid flow at the onset of turbulence.
Issue 18 (21 September 1991)
A Corrigendum for this article has been published in 1992 J. Phys. A: Math. Gen. 25 1019
G Huber and P Alstrom 1991 J. Phys. A: Math. Gen. 24 L1105
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