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SCALE INVARIANT MODEL OF STATISTICAL MECHANICS AND QUANTUM MECHANICAL FOUNDATION OF TURBULENCE

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A modified statistical theory of turbulence based on a scale invariant model of statistical mechanics is described. Hierarchies of statistical fields from cosmic to Planck scale are examined. The predicted velocity profiles for turbulent boundary layer over a flat plate at four consecutive scales of LED, LCD, LMD, and LAD are shown to be in close agreement with the experimental observations. Invariant Schrödinger equation is derived from invariant Bernoulli equation. Energy spectrum of isotropic stationary turbulence is shown to follow invariant Planck energy distribution law

Author(s):

Siavash Sohrab    
Northwestern University
United States