Skip to main content
SpringerLink
Log in

On the stability of two superposed Walters B′ viscoelastic liquids

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

The stability of the plane interface separating two viscoelastic (Walters B′) superposed fluids of uniform densities has been studied. The stability analysis has been carried out, for mathematical simplicity, for two highly viscoelastic fluids of equal kinematic viscosities and equal kinematic viscoelasticities. For the stable configuration, the system is found to be stable or unstable for the wave-number range k < or > (2ev′)-1/2, depending on kinematic viscoelasticity v′. However, the system is found to be unstable for the unstable configuration. The behaviour of growth rates with respect to kinematic viscosity and kinematic viscoelasticity are examined analytically.

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. Hide R.: Proc. Roy. Soc. A 223 (1955) 376.

    Google Scholar 

  2. Hide R.: Quart J. Appl. Math. 9 (1956) 22.

    Google Scholar 

  3. Chandrasekhar S.: Hydrodynamic and Hydromagnetic Stability. Clarendon Press, Oxford, 1961, Chap. X, pp. 440, 457.

    Google Scholar 

  4. Bhatia P.K.: Nuovo Cimento B 19 (1974) 161.

    Google Scholar 

  5. Sharma R.C.: Acta Phys. Hung. 40 (1976) 11.

    Google Scholar 

  6. Bhatia P.K.: Z. Angew. Math. Mech. 52 (1972) 321.

    Google Scholar 

  7. Sharma R.C. and Sharma K.C.: Acta Phys. Hung. 45 (1978) 213.

    Google Scholar 

  8. Oldroyd J.G.: Proc. Roy. Soc. London A 245 (1958) 278.

    Google Scholar 

  9. Chakraborty G. and Sengupta P.R.: Proc. Nat. Acad. Sci. India 64 (1994) 75.

    Google Scholar 

  10. Sharma P.R. and Kumar H.: Proc. Nat. Acad. Sci. India 65 (1995) 75.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Himachal Pradesh University, Shimla, 171005, India

    R. C. Sharma & Pardeep Kumar

Authors
  1. R. C. Sharma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pardeep Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharma, R.C., Kumar, P. On the stability of two superposed Walters B′ viscoelastic liquids. Czechoslovak Journal of Physics 47, 197–204 (1997). https://doi.org/10.1023/A:1021069730348

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021069730348

Keywords

Search

Navigation