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Fluid Turbulence: Deterministic or Statistical

  • Conference paper
Turbulent Shear-Layer/Shock-Wave Interactions

Part of the book series: International Union of Theoretical and Applied Mechanics ((MANUTECH))

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Summary

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.

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References

  1. Ruelle D. and Takens F. “On the Nature of Turbulence” Commun. Math. Phy. 20 167 1971

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  5. Cheng, S.I., “Physial and Numerical Turbulence” 3rd Symposium on “Numerical and Physical Aspects of Aerodynamcic Flows”, Calif. State Univ. Long Beach. Calif., Jan. 1985.

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  6. Cheng, S.I. & Sato, C., “Computational Fluid Dynamics, Convergent or Asymptotic,” Invited Lecture, 11th International Math, and Comp. Simu., Oslo, Norway, August, 1985.

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  7. Cheng, S.I., “A New Look on Turbulent Shear Flow”, 4th Inter. Symposium on Turbulent Shear Flow, Karlsruhe, Germany September 1983.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, 08544, New Jersey, USA

    Sin-I Cheng

Authors
  1. Sin-I Cheng
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Editor information

Editors and Affiliations

  1. Direction de L’Aérodynamique, ONERA, B.P. 72, 29. Av. de la Division Leclerc, F-92322, Châtillon Cedex, France

    J. Délery

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© 1986 Springer-Verlag Berlin, Heidelberg

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Cheng, SI. (1986). Fluid Turbulence: Deterministic or Statistical. In: Délery, J. (eds) Turbulent Shear-Layer/Shock-Wave Interactions. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82770-9_33

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  • DOI: https://doi.org/10.1007/978-3-642-82770-9_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82772-3

  • Online ISBN: 978-3-642-82770-9

  • eBook Packages: Springer Book Archive

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