A modified scale invariant statistical theory of turbulence

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Abstract

A scale-invariant model of statistical mechanics is applied to present a modified statistical theory of turbulence. It is shown that a homogeneous isotropic turbulent fluid is composed of a spectrum of eddies (energy levels) each composed of a spectrum of molecular clusters with energy spectra governed by the invariant Planck distribution law and harmonious with the Kolmogorov κ− 5/3 law. The stability of clusters, de Broglie wave packets, is due to a potential that acts as Poincaré stress in the Schrödinger equation.
Original languageEnglish
Title of host publicationProceedings of the 6th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics (FMA'08)
EditorsSiavash H. Sohrab, Haris J. Catrakis, Nikolai Kobasko, Sarka Necasova, Nikolaos Markatos
PublisherWSEAS Press
ISBN (Print)9789606766985
StatePublished - 2008
EventThe 6th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics (FMA'08) - Rhodes, Greece
Duration: Aug 1 2008 → …

Conference

ConferenceThe 6th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics (FMA'08)
Period8/1/08 → …

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