Skip to main content
Log in

A purely elastic transition in Taylor-Couette flow

  • Published:
Rheologica Acta Aims and scope Submit manuscript

Abstract

Experimental evidence of a non-inertial, cellular instability in the Taylor-Couette flow of a viscoelastic fluid is presented. A linear stability analysis for an Oldroyd-B fluid, which is successful in describing many features of the experimental fluid, predicts the critical Deborah number,De c , at which the instability is observed. The dependence ofDe c on the value of the dimensionless gap between the cylinders is also determined.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Taylor GI (1923) Philos Trans Roy Soc, London, Ser A223:289

    Google Scholar 

  2. Coles D (1965) J Fluid Mech 21:385

    Google Scholar 

  3. Di Prima RC, Swinney HL (1985) In: Swinney HL, Gollub JP (eds) Hydrodynamic Instabilities and the Transition to Turbulence, second ed. Springer, New York, p 139

    Google Scholar 

  4. See, for example, Bird RB, Armstrong RC, Hassager O (1987) Dynamics of Polymeric Liquids, second ed. Wiley, New York

    Google Scholar 

  5. Beard DW, Davies MH, Walters K (1966) J Fluid Mech 24:321

    Google Scholar 

  6. Sun ZS, Denn MM (1972) AIChE J 18:1010

    Google Scholar 

  7. Hayes JW, Hutton JF (1972) Prog Heat Mass Transfer 5:195

    Google Scholar 

  8. Giesekus H (1966) Rheol Acta 5:239

    Google Scholar 

  9. Binnington RJ, Boger DV (1985) J Rheol 29:887

    Google Scholar 

  10. Prilutski G, Gupta RK, Sridhar T, Ryan ME (1983) J Non-Newtonian Fluid Mech 12:233

    Google Scholar 

  11. Chandrasekhar S (1954) Amer Math Monthly 61:32

    Google Scholar 

  12. Drazin PG, Reid WH (1981) Hydrodynamic Stability. Cambridge University Press, New York

    Google Scholar 

  13. Conte SD (1966) SIAM Rev 8:309

    Google Scholar 

  14. Keller HB (1968) Numerical Methods for Two-Point Boundary-Value Problems. Cinn-Blaisdell, Waltham, MA

    Google Scholar 

  15. Phan-Thien N (1983) J Non-Newtonian Fluid Mech 13:325

    Google Scholar 

  16. Phan-Thien N (1985) J Non-Newtonian Fluid Mech 17:37

    Google Scholar 

  17. Magda JJ, Larson RG (1988) J Non-Newtonian Fluid Mech 30:1

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper is dedicated to Professor Hanswalter Giesekus on the occasion of his retirement as Editor of Rheologica Acta.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Muller, S.J., Larson, R.G. & Shaqfeh, E.S.G. A purely elastic transition in Taylor-Couette flow. Rheol Acta 28, 499–503 (1989). https://doi.org/10.1007/BF01332920

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01332920

Key words

Navigation