Skip to main content
SpringerLink
Log in

The Role of Fluctuations for Self-Organization in Physical Systems (an Exemplary Case of Transition from a Laminar to Turbulent Flow)

  • Conference paper
Self-Organization Autowaves and Structures Far from Equilibrium

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 28))

  • 162 Accesses

Abstract

The transition from a laminar flow to a turbulent one is considered as an example of nonequilibrium phase transition, converting the system into a state of higher order. The degree of order is characterized by entropy S and entropy production σ. The values of S and σ for the turbulent state are compared with those for an imaginary (unstable) laminar flow with the same Reynolds number (in the calculation of S) or with the same tension at the wall (with equal R* values) in the calculation of entropy production.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Schlichting. Grenzschicht-Theorie. Verlag G.Braun, Karlsruhe, (1965).

    MATH  Google Scholar 

  2. Yu.L. Klimontovich. Statistical Physics. Moscow, Nauka,(19 82).

    Google Scholar 

  3. Yu.L. Klimontovich, H.Engel-Herbert. Averaged Steady-State Couette and Poiseuille Flows in an Incompressible Fluid. Zh. Tekh. Fiz

    Google Scholar 

  4. Yu.L. Klimontovich. The Arising of Turbulence in Couette and Poiseu ille Flows. Pis’ma v Zh. Tekh. Fiz., 9, No. 18 (1983).

    Google Scholar 

  5. Yu.L. Klimontovich. The Decrease of the Entropy in the Process of Self-Organization. S-Theorem. Pis’ma v Zh. Tekh. Fiz., 9, (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Moscow State University, SU-117192, Moscow, USSR

    Yu. L. Klimontovich

Authors
  1. Yu. L. Klimontovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Biological Physics, USSR Academy of Sciences, SU-142292, Pushchino, USSR

    V. I. Krinsky

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Klimontovich, Y.L. (1984). The Role of Fluctuations for Self-Organization in Physical Systems (an Exemplary Case of Transition from a Laminar to Turbulent Flow). In: Krinsky, V.I. (eds) Self-Organization Autowaves and Structures Far from Equilibrium. Springer Series in Synergetics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70210-5_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-70210-5_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70212-9

  • Online ISBN: 978-3-642-70210-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation