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Turbulence

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Abstract

Turbulence is generally considered to be some kind of a disordered flow. In the first section we will try to clarify as much as possible what sort of an irregular flow is going to be termed turbulent. It will be taken for granted that turbulence will be described by the Navier-Stokes equation. This equation is Newton’s law for fluid motion and is written as

$$ \frac{{\partial \vec v}} {{\partial t}} + (\vec v.\vec \nabla )\vec v = - \frac{1} {\rho }\vec \nabla P + v\nabla ^2 \vec v + \vec f $$
(8.1.1)

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References

  1. A.N. Kolmogorov, C R (Dokl) Acad. Sci. USSR, 30, 301, (1941)

    Google Scholar 

  2. H.L. Grant, R.W. Stewart and A. Moillet, J. Fluid. Mech., 12, 241, 1962; 13, 237, (1962)

    Article  MATH  ADS  Google Scholar 

  3. A.S. Monin and A.M. Yaglom, Statistical Fluid Mechanics, Vol. 2, MIT Press, (1971)

    Google Scholar 

  4. H. Tennekes and I. Lumley, A First Course in Turbulence, (pmMIT Press Cambridge}, (1972)

    Google Scholar 

  5. D.C. Leslie, Developments in the Theory of Turbulence, Clarendon Press, Oxford, (1972)

    Google Scholar 

  6. S.A. Orszag, Les Houches Lectures on Fluid Dynamics, Gordon and Breach, London, (1973)

    Google Scholar 

  7. D. Forster, D. Nelson and M. Stephen, Phys. Rev. A16, 732, (1976)

    ADS  MathSciNet  Google Scholar 

  8. P.C. Martin and C. De Dominicis, Prog. Theor. Phys. (Suppl.) 64, 108, (1978)

    Article  ADS  Google Scholar 

  9. C. De Dominicis and P.C. Martin, Phys. Rev. A19, 419, (1979)

    ADS  Google Scholar 

  10. C. Meneveau and K.R. Sreenivasan Phys. Rev. Lett., 59, 1424, 1987; Nucl. Phys. (Proc. Suppl.), B2, 49, (1987)

    Article  ADS  Google Scholar 

  11. M. Lesieur, Turbulence, M Ninjhuis, Amsterdam, (1988)

    Google Scholar 

  12. kn:comb W.D. McComb, The Physics of Fluid Turbulence, Clarendon Press, Oxford, (1990)

    Google Scholar 

  13. L. Sirovich ed., New Perspectives in Turbulence, Springer-Verlag, Berlin, (1990)

    Google Scholar 

  14. E. Ott, Chaos in Dynamical Systems, Cambridge University Press, (1993)

    Google Scholar 

  15. U. Frisch, Turbulence, Cambridge University Press, (1996)

    Google Scholar 

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(2006). Turbulence. In: Non-Linear Dynamics Near and Far from Equilibrium. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5388-7_8

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