Skip to main content

Intermittency

  • Chapter
  • First Online:
Navier-Stokes Turbulence
  • 1159 Accesses

Abstract

The term intermittency is applied to two distinct types of phenomena, externally and internally intermittent flows, [1] Chap. 7.2, Benzi and Biferale [2], Frisch [3], Chap. 8. Townsend [4] and Corrsin [5] observed in experiments on turbulent wakes and jets that turbulence away from the centre of the flow appeared as a random sequence of active bursts and quiescent intervals. Therefore, the flow field contains continuously changing subsets that are turbulent and subsets that are approximately non-turbulent (weakly turbulent), separated by an interface. This phenomenon is called external intermittency.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Tsinober, A.: An Informal Conceptual Introduction to Turbulence, 2nd edn. Springer, Dordrecht (2009)

    Book  Google Scholar 

  2. Benzi, R., Biferale, L.: Intermittency in turbulence. In: Oberlack, M., Busse, F.H. (eds.) Theories of Turbulence. Springer, Wien (2002)

    MATH  Google Scholar 

  3. Frisch, U.: Turbulence: The Legacy of A.N. Kolmogorov. Cambridge University Press (1995)

    Google Scholar 

  4. Townsend, A.A.: Local isotropy in the turbulent wake of a cylinder. Austr. J. Sci. Res. 1, 161–174 (1948)

    ADS  Google Scholar 

  5. Kennedy, D.A., Corrsin, S.: Spectral flatness factor and intermittency in turbulence and in non-linear noise. JFM 10, 366–370 (1961)

    Article  ADS  Google Scholar 

  6. Adler, R.J., Taylor, J.E.: Random Fields and Geometry. Springer, New York (2007)

    MATH  Google Scholar 

  7. Pomeau, Y., Manneville, P.: Intermittent transition to turbulence in dissipative dynamical systems. Comm. Math. Phys. 74, 189–197 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  8. Barkley, D.: Theoretical perspective on the route to turbulence in a pipe. JFM 803, P1–1 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  9. Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer, New York (2003)

    MATH  Google Scholar 

  10. Kusnetsov, Y.A.: Elements of Applied Bifurcation Theory. Springer, New York (2004)

    Book  Google Scholar 

  11. Byggstoyl, S., Kollmann, W.: Stress transport in the rotational and irrotational zones of turbulent shear flows. Phys. Fluids 29, 1423–1429 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  12. Moffatt, H.K.: Topological approach to problems of vortex dynamics and turbulence. Prog. Astronaut. Aeronaut. 112, 141–152 (1988)

    Google Scholar 

  13. Kuo, A.Y.-S., Corrsin, S.: Experiments on internal intermittency and fine-structure distribution functions in fully turbulent fluid. JFM 50, 285–319 (1971)

    Article  ADS  Google Scholar 

  14. Sreenivasan, K.R.: On the fine-scale intermittency of turbulence. JFM 151, 81–103 (1985)

    Article  ADS  Google Scholar 

  15. Wilczek, M., Xu, H., Ouellette, N.T., Friedrich, R., Bodenschatz, E.: Generation of Lagrangian intermittency in turbulence by a self-similar mechanism. New J. Phys. 15, 055015 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  16. Mordant, N., Crawford, A.M., Bodenschatz, E.: The 3D structure of the Lagrangean acceleration in turbulent flows. Phys. Rev. Lett. 93, 214501 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wolfgang Kollmann .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Kollmann, W. (2019). Intermittency. In: Navier-Stokes Turbulence. Springer, Cham. https://doi.org/10.1007/978-3-030-31869-7_16

Download citation

Publish with us

Policies and ethics