Fluid Turbulence: Deterministic or Statistical

  • Sin-I Cheng
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (MANUTECH)


The deterministic view of turbulence suggests that the classical theory of fluid turbulence may be treating the wrong entity. We explore the physical implications of such an abstract mathematical result, and provide a constructive computational demonstration of the deterministic and the wave nature of fluid turbulence. The associated pressure disturbance for restoring solenoidal velocity is the primary agent, and its reflection from solid surface(s) the dominant mechanism of turbulence production. Statistical properties and their modeling must address to the statistics of the uncertainties of initial boundary data of the ensemble.


Strange Attractor Fluid Turbulence Turbulent Shear Flow Turbulence Production Turbulent Spot 
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1986

Authors and Affiliations

  • Sin-I Cheng
    • 1
  1. 1.Department of Mechanical and Aerospace EngineeringPrinceton UniversityPrincetonUSA

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