Universality of a scale invariant model of turbulence and its quantum mechanical foundation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

Abstract

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. The generalized definitions of "solid", "liquid", and "gas" phases are introduced and a modified quantum mechanical criterion for transition to turbulence based on Poincaré stress is presented.

Original languageEnglish (US)
Title of host publicationProceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09
Pages134-140
Number of pages7
StatePublished - 2009
Event7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09 - Moscow, Russian Federation
Duration: Aug 20 2009Aug 22 2009

Publication series

NameProceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09

Other

Other7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09
Country/TerritoryRussian Federation
CityMoscow
Period8/20/098/22/09

Keywords

  • Quantum mechanics
  • Statistical theory of turbulence
  • TOE
  • Turbulence

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

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