Skip to main content
SpringerLink
Log in

Dissipative hydrodynamic oscillators

VIII. - The Kelvin-Helmholtz instability of viscous liquids

  • Published:
Il Nuovo Cimento D

Summary

The Kelvin-Helmholtz interfacial instability of two flowing superposed viscous liquids is described in terms of a dissipative harmonic-oscillator model. The instability threshold corresponds to the vanishing value of the damping coefficient.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. G. Drazin:J. Fluid Mech.,4, 214 (1958).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. P. G. Drazin:J. Fluid Mech.,10, 571 (1961).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. P. G. Drazin andL. N. Howard:J. Fluid Mech.,14, 257 (1962).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. P. G. Drazin:J. Fluid Mech.,65, 781 (1974).

    Article  ADS  Google Scholar 

  5. P. G. Drazin andW. H. Reid:Hydrodynamic Stability (Cambridge, 1981).

  6. R. E. Esch:J. Fluid Mech.,3, 289 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  7. R. E. Kelly:J. Fluid Mech.,22, 547 (1965).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. M. G. Velarde andX.-L. Chu:Phys. Scr.,25, 231 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing, People's Republic of China

    R. Wang

  2. Chemistry Department, Stanford University, 94.305, Stanford, CA, USA

    X. -L. Chu

  3. Facultad de Ciencias, U.N.E.D., Apartado 60.141, 28.071, Madrid, Spain

    M. G. Velarde

  4. Chimie Physique, Université Libre de Bruxelles, Campus Plaine, C.P. 231 Boulevard du Triomphe, 1050, Brussels, Belgium

    A. Sanfeld

Authors
  1. R. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. X. -L. Chu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. G. Velarde
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Sanfeld
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Due to the relevance of its scientific content, this paper has been given priority by the Journal Direction.

The authors of this paper have agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, R., Chu, X.L., Velarde, M.G. et al. Dissipative hydrodynamic oscillators. Il Nuovo Cimento D 14, 213–220 (1992). https://doi.org/10.1007/BF02457354

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02457354

PACS 47.20

Search

Navigation