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Extended self-similarity in turbulent flows
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1993 · Vol. 48(1) · pp. R29–R32
Roberto Benzi✉(University of Rome Tor Vergata)S. Ciliberto(University of Rome Tor Vergata)R. Tripiccione(University of Rome Tor Vergata)C. Baudet(University of Rome Tor Vergata)Federico Massaioli(University of Rome Tor Vergata)Sauro Succi(University of Rome Tor Vergata)
Abstract
We report on the existence of a hitherto undetected form of self-similarity, which we call extended self-similarity (ESS). ESS holds at high as well as at low Reynolds number, and it is characterized by the same scaling exponents of the velocity differences of fully developed turbulence.
Fluid Dynamics and Turbulent FlowsPlant Water Relations and Carbon DynamicsMeteorological Phenomena and SimulationsSelf-similarityTurbulenceSimilarity (geometry)ScalingReynolds numberDynamic similarityStatistical physicsPhysicsSimilarity solutionMechanics
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References
On the multifractal nature of fully developed turbulence and chaotic systems
Journal of Physics A Mathematical and General · 1984 · 765 citations
High-order velocity structure functions in turbulent shear flows
Journal of Fluid Mechanics · 1984 · 1,061 citations
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